গাণিতিক ধ্ৰুৱকৰ তালিকাৰ উৎস চাওক

__NOTOC__'''গাণিতিক ধ্ৰুৱক''' {{En|Mathematical constants}} হৈছে এনে এটা সংখ্যা যাৰ মান এটা দ্ব্যৰ্থহীন সংজ্ঞাৰ দ্বাৰা নিৰ্ধাৰণ কৰা হয়। ইয়াক প্ৰায়ে এটা চিহ্ন (যেনে, বৰ্ণমালাৰ আখৰ) বা গণিতজ্ঞসকলৰ নামেৰে উল্লেখ কৰা হয়। উদাহৰণস্বৰূপে, ধ্ৰুৱক π ([[পাই]]) ক এটা [[বৃত্ত]]ৰ পৰিধিৰ দৈৰ্ঘ্য আৰু ইয়াৰ ব্যাসৰ [[অনুপাত]] হিচাপে সংজ্ঞায়িত কৰিব পাৰি।

== তালিকা ==
<!-- Please use these for data-sort-values of the Set column
  1 = Natural number
  2 = Integer
  3 = Rational number
  4 = Algebraic
  5 = Transcendental
  6 = Irrational number (algebraic/transcendental is unsure)
  7 = Real number (irrationality is unsure)
  8 = Complex number
-->

{| class="wikitable sortable"
|-
! নাম
! চিহ্ন
! দশমিক প্ৰসাৰণ
! সূত্ৰ 
! বৰ্ষ
! সংহতি
|-
|[[১|এক]]
|১
|১
|
|data-sort-value="-2000"|প্ৰাক‌ঐতিহাসিক
|data-sort-value="1"|[[স্বাভাৱিক সংখ্যা|<math>\mathbb{N}</math>]]
|-
|[[২|দুই]]
|২
|২
|
|data-sort-value="-2000"|প্ৰাক‌ঐতিহাসিক
|data-sort-value="1"|[[স্বাভাৱিক সংখ্যা|<math>\mathbb{N}</math>]]
|-
|[[আধা]]
|১/২
|data-sort-value="0.50000"|০.৫
|
|data-sort-value="-2000"|প্ৰাক‌ঐতিহাসিক
|data-sort-value="3"|[[পৰিমেয় সংখ্যা|<math>\mathbb{Q}</math>]]
|-
|[[পাই]]
|<math>\pi</math>
|৩.১৪১৫৯ ২৬৫৩৫ ৮৯৭৯৩ <ref group="Mw">{{MathWorld|PiFormulas|Pi Formulas}}</ref><ref group="OEIS">{{OEIS2C|A000796}}</ref>
|এটা বৃত্তৰ পৰিধি আৰু ব্যাসৰ অনুপাত।
|data-sort-value="-1900"|খ্ৰীষ্টাব্দ  ১৯০০ – ১৬০০<ref name="Arndt_d">{{harvnb|Arndt|Haenel|2006|p=167}}</ref>
|data-sort-value="5"|[[Transcendental number|<math>\mathbb{R} \setminus \mathbb{A}</math>]]
|-
|[[টাউ (গাণিতিক ধ্ৰুৱক)]]
|<math>\tau</math>
|৬.২৮৩১৮ ৫৩০৭১ ৭৯৫৮৬ ৪৭৬৯২<ref>{{cite web |last1=Hartl |first1=Michael |title=100,000 digits of Tau |url=https://tauday.com/tau-digits |website=Tau Day |access-date=22 January 2023}}</ref><ref group="OEIS">{{OEIS2C|A019692}}</ref>
|এটা বৃত্তৰ পৰিধি আৰু ইয়াৰ ব্যাসাৰ্ধৰ অনুপাত। <math>2\pi</math> ৰ সমতুল্য।
|data-sort-value="-1900"|খ্ৰীষ্টাব্দ  ১৯০০ – ১৬০০<ref name="Arndt_d">{{harvnb|Arndt|Haenel|2006|p=167}}</ref>
|data-sort-value="5"|[[Transcendental number|<math>\mathbb{R} \setminus \mathbb{A}</math>]]
|-
|[[দুইৰ বৰ্গমূল]],
[[পাইথাগোৰাছ]]ৰ ধ্ৰুৱক<ref>{{cite book|url=https://books.google.com/books?id=sPRbZACsXogC&q=pi+nested+radical&pg=PA293|title=Mathematical sorcery: revealing the secrets of numbers|author=Calvin C Clawson|year=2001|isbn=978 0 7382 0496-3|page=IV|publisher=Basic Books}}{{Dead link|date=December 2023 |bot=InternetArchiveBot |fix-attempted=yes }}</ref>
|<math>\sqrt{2}</math>
|১.৪১৪২১ ৩৫৬২৩ ৭৩০৯৫ ০৪৮৮০<ref group="Mw">{{MathWorld|PythagorassConstant|Pythagoras's Constant}}</ref><ref group="OEIS">{{OEIS2C|A002193}}</ref>
|<math>x^2=2</math> ৰ ধনাত্মক মূল।
|data-sort-value="-1800"|খ্ৰীষ্টাব্দ  ১৮০০ – ১৬০০<ref>Fowler and Robson, p. 368.

[http://it.stlawu.edu/%7Edmelvill/mesomath/tablets/YBC7289.html Photograph, illustration, and description of the ''root(2)'' tablet from the Yale Babylonian Collection] {{webarchive|url=https://web.archive.org/web/20120813054036/http://it.stlawu.edu/%7Edmelvill/mesomath/tablets/YBC7289.html|date=2012-08-13}}

[http://www.math.ubc.ca/%7Ecass/Euclid/ybc/ybc.html High resolution photographs, descriptions, and analysis of the ''root(2)'' tablet (YBC 7289) from the Yale Babylonian Collection]</ref>
|data-sort-value="4"|[[Algebraic number|<math>\mathbb{A}</math>]]
|-
|[[৩ ৰ বৰ্গমূল]],
থিঅ'ডৰাছৰ ধ্ৰুৱক<ref>{{cite book|url=https://books.google.com/books?id=xAwukpHCqH0C&q=1.732050807&pg=PA15|title=Figuring Out Mathematics|author=Vijaya AV|publisher=Dorling Kindcrsley (India) Pvt. Lid.|year=2007|isbn=978-81-317-0359-5|page=15}}</ref>
|<math>\sqrt{3}</math>
|১.৭৩২০৫ ০৮০৭৫ ৬৮৮৭৭ ২৯৩৫২<ref group="Mw">{{MathWorld|TheodorussConstant|Theodorus's Constant}}</ref><ref group="OEIS">{{OEIS2C|A002194}}</ref>
|<math> x^2=3 </math> ৰ ধনাত্মক মূল।
|data-sort-value="-465"|খ্ৰীষ্টাব্দ  ৪৬৫ – ৩৯৮
|data-sort-value="4"|[[Algebraic number|<math>\mathbb{A}</math>]]
|-
|[[৫ ৰ বৰ্গমূল]]<ref>{{cite book|url=https://books.google.com/books?id=KjMVx6ljh6YC&q=2.236067977&pg=PA24|title=Essential Mathematics 9|author=P A J Lewis|publisher=Ratna Sagar|year=2008|isbn=9788183323673|page=24}}</ref>
|<math>\sqrt{5}</math>
|২.২৩৬০৬ ৭৯৭৭৪ ৯৯৭৮৯ ৬৯৬৪০<ref group="OEIS">{{OEIS2C|A002163}}</ref>
|<math> x^2=5</math> ৰ ধনাত্মক মূল।
|data-sort-value="-464"|
|data-sort-value="4"|[[Algebraic number|<math>\mathbb{A}</math>]]
|-
|ফাই, [[সোণালী অনুপাত]]<ref>{{cite book|url=https://books.google.com/books?id=ZOfUsvemJDMC&q=1.618033988749894848&pg=PA316|title=The Princeton Companion to Mathematics|author1=Timothy Gowers|author2=June Barrow-Green|author3=Imre Leade|publisher=Princeton University Press|year=2007|isbn=978-0-691-11880-2|page=316}}</ref>
|<math>\varphi</math> বা <math>\phi</math> 
|১.৬১৮০৩ ৩৯৮৮৭ ৪৯৮৯৪ ৮৪৮২০ <ref group="Mw">{{MathWorld|GoldenRatio|Golden Ratio}}</ref><ref group="OEIS">{{OEIS2C|A001622}}</ref>
|<math>\frac{1+\sqrt{5}}{2}</math>
|data-sort-value="-301"|খ্ৰীষ্টাব্দ ~৩০০
|data-sort-value="4"|[[Algebraic number|<math>\mathbb{A}</math>]]
|-
|[[ৰূপালী অনুপাত]]<ref>{{citation|last=Kapusta|first=Janos|title=The square, the circle, and the golden proportion: a new class of geometrical constructions|journal=Forma|volume=19|year=2004|pages=293–313|url=http://www.scipress.org/journals/forma/pdf/1904/19040293.pdf|access-date=2023-12-20|archivedate=2020-09-18|archiveurl=https://web.archive.org/web/20200918165840/http://www.scipress.org/journals/forma/pdf/1904/19040293.pdf}}.</ref>
|<math>\delta_S</math>
|২.৪১৪২১ ৩৫৬২৩ ৭৩০৯৫ ০৪৮৮০<ref group="Mw">{{MathWorld|SilverRatio|Silver Ratio}}</ref><ref group="OEIS">{{OEIS2C|A014176}}</ref>
|<math>\sqrt{2}+1</math>
|data-sort-value="-301"|খ্ৰীষ্টাব্দ ~৩০০
|data-sort-value="4"|[[Algebraic number|<math>\mathbb{A}</math>]]
|-
|[[শূণ্য]]
|০
|০
|
|data-sort-value="-300"|খ্ৰীষ্টাব্দ ৩০০ – ১০০<ref>Kim Plofker (2009), ''[[Mathematics in India (book)|Mathematics in India]]'', Princeton University Press, {{ISBN|978-0-691-12067-6}}, pp. 54–56.</ref>
|data-sort-value="2"|[[Integer|<math>\mathbb{Z}</math>]]
|-
| [[−১|ঋণাত্মক এক]]
| −১
| −১
|
|data-sort-value="-300"|খ্ৰীষ্টাব্দ ৩০০ – ২০০
|data-sort-value="2"|[[অখণ্ড সংখ্যা|<math>\mathbb{Z}</math>]]
|-
|[[২ ৰ ঘনমূল]]
|<math>\sqrt[3]{2}</math>
|১.২৫৯৯২ ১০৪৯৮ ৯৪৮৭৩ ১৬৪৭৬<ref group="Mw">{{MathWorld|DelianConstant|Delian Constant}}</ref><ref group="OEIS">{{OEIS2C|A002580}}</ref>
|<math>x^3=2</math> ৰ প্ৰকৃত মূল।
|৪৬ – ১২০ খ্ৰীষ্টাব্দ<ref>{{cite book|author=Plutarch|title=Quaestiones convivales VIII.ii|url=http://ebooks.adelaide.edu.au/p/plutarch/symposiacs/chapter8.html#section80|section=718ef|quote=And therefore Plato himself dislikes Eudoxus, Archytas, and Menaechmus for endeavoring to bring down the [[doubling the cube]] to mechanical operations|access-date=2019-05-24|archive-date=2009-11-19|archive-url=https://web.archive.org/web/20091119061142/http://ebooks.adelaide.edu.au/p/plutarch/symposiacs/chapter8.html#section80|url-status=dead|archivedate=2019-07-28|archiveurl=https://web.archive.org/web/20190728214640/http://ebooks.adelaide.edu.au/p/plutarch/symposiacs/chapter8.html#section80}}</ref>
|data-sort-value="4"|[[Algebraic number|<math>\mathbb{A}</math>]]
|-
|৩ ৰ [[ঘনমূল]]
|<math>\sqrt[3]{3}</math>
|১.৪৪২২৪ ৯৫৭০৩ ০৭৪০৮ ৩৮২৩২<ref group="OEIS">{{OEIS2C|A002581}}</ref>
|<math>x^3=3</math> ৰ প্ৰকৃত মূল।
|data-sort-value="47"|
|data-sort-value="4"|[[Algebraic number|<math>\mathbb{A}</math>]]
|-
|[[Twelfth root of 2]]<ref>{{citation|first=Thomas|last=Christensen|title=The Cambridge History of Western Music Theory|year=2002|page=[https://archive.org/details/cambridgehistory0000unse_t8n5/page/205 205]|isbn=978-0521686983|url=https://archive.org/details/cambridgehistory0000unse_t8n5/page/205}}</ref> 
|<math>\sqrt[12]{2}</math>
|1.05946 30943 59295 26456 <ref group="OEIS">{{OEIS2C|A010774}}</ref>
|<math>x^{12}=2</math> ৰ প্ৰকৃত মূল।
|data-sort-value="47"|
|data-sort-value="4"|[[Algebraic number|<math>\mathbb{A}</math>]]
|-
|[[Supergolden ratio]]<ref name="Koshy">{{cite book |last1=Koshy |first1=Thomas |title=Fibonacci and Lucas Numbers with Applications |date=2017 |publisher=John Wiley & Sons |isbn=9781118742174 |edition=2 |url=https://books.google.com/books?id=kAhCDwAAQBAJ&dq=supergolden+ratio%7Cnumber%7Cconstant&pg=PT523 |accessdate=14 August 2018 |language=en}}</ref>
|<math>\psi</math>
|1.46557 12318 76768 02665 <ref group="OEIS">{{OEIS2C|A092526}}</ref>
|<math>\frac{1 + \sqrt[3]{\frac{29 + 3\sqrt{93}}{2}} + \sqrt[3]{\frac{29 - 3\sqrt{93}}{2}}}{3}</math>
<math>x^{3} = x^{2} + 1</math> ৰ প্ৰকৃত মূল।
|data-sort-value="47"|
|data-sort-value="4"|[[Algebraic number|<math>\mathbb{A}</math>]]
|-
|[[কাল্পনিক একক]]<ref>{{cite book|url=https://books.google.com/books?id=IKmMKOtSI50C&q=%22This+leads+to+some+amazing+results.+For+example,+Euler+discovered%22&pg=PA66|title=Mathematics: The New Golden Age|author=Keith J. Devlin|publisher=Columbia University Press|year=1999|isbn=978-0-231-11638-1|page=66}}</ref>
|<math>i</math>
|data-sort-value="0"|{{math|0 + 1''i''}}
|Either of the two roots of <math>x^2=-1</math>{{refn|group=nb|Both {{math|''i''}} and {{math|−''i''}} are roots of this equation, though neither root is truly "positive" nor more fundamental than the other as they are algebraically equivalent. The distinction between signs of {{math|''i''}} and {{math|−''i''}} is in some ways arbitrary, but a useful notational device. See [[imaginary unit]] for more information.}}
|১৫০১ – ১৫৭৬
|data-sort-value="8"|[[Complex number|<math>\mathbb{C}</math>]]
|-
|হেক্সাগনেল লেটিচৰ বাবে [[সংযোগী ধ্ৰুৱক]]<ref>{{cite book|url=http://www.labri.fr/perso/bousquet/Exposes/fpsac-saw.pdf|title=Two-dimensional self-avoiding walks|author=Mireille Bousquet-Mélou|publisher=CNRS, LaBRI, Bordeaux, France|author-link=Mireille Bousquet-Mélou}}</ref><ref name=":13">{{cite book|url=http://www.unige.ch/~smirnov/slides/slides-saw.pdf|title=The connective constant of the honeycomb lattice √ (2 + √ 2)|author1=Hugo Duminil-Copin|author2=Stanislav Smirnov|publisher=Université de Geneve|year=2011|name-list-style=amp}}</ref>
|<math>\mu</math>
|1.84775 90650 22573 51225 <ref group="Mw">{{MathWorld|Self-AvoidingWalkConnectiveConstant|Self-Avoiding Walk Connective Constant}}</ref><ref group="OEIS" name="connective">{{OEIS2C|A179260}}</ref>
|<math>\sqrt{2 + \sqrt{2}}</math>, as a root of the polynomial <math>x ^ 4-4 x ^ 2 + 2=0</math>
|১৫৯৩<ref group="OEIS" name="connective" />
|data-sort-value="4"|[[Algebraic number|<math>\mathbb{A}</math>]]
|-
|[[Kepler–Bouwkamp constant|কেপলাৰ-বাউকেম্প ধ্ৰুৱক]]<ref name=":11">{{cite arXiv|eprint=1301.6293|class=math.MG|author=Richard J. Mathar|title=Circumscribed Regular Polygons|year=2013}}</ref>
|<math>K'</math>
|0.11494 20448 53296 20070 <ref group="Mw">{{MathWorld|PolygonInscribing|Polygon Inscribing}}</ref><ref group="OEIS" name="kepler">{{OEIS2C|A085365}}</ref>
|<math> \prod_{n=3}^\infty \cos\left(\frac{\pi}{n} \right) = \cos\left(\frac{\pi}{3} \right) \cos\left(\frac{\pi}{4} \right) \cos\left(\frac{\pi}{5}\right) ...</math>
|১৫৯৬<ref group="OEIS" name="kepler" />
|data-sort-value="7"|
|-
|[[John Wallis|ৱালিছ]]ৰ ধ্ৰুৱক 
|
|2.09455 14815 42326 59148 <ref group="Mw">{{MathWorld|WallissConstant|Wallis's Constant}}</ref><ref group="OEIS">{{OEIS2C|A007493}}</ref>
|<math>\sqrt[3]{\frac{45-\sqrt{1929}}{18}}+\sqrt[3]{\frac{45+\sqrt{1929}}{18}}</math>
Real root of <math>x^{3} - 2x - 5 = 0</math>
|১৬১৬ – ১৭০৩
|data-sort-value="4"|[[Algebraic number|<math>\mathbb{A}</math>]]
|-
|[[e (mathematical constant)|অয়লাৰৰ সংখ্যা]]<ref>{{cite book|url=https://books.google.com/books?id=zdBHMHV3m5YC&q=2.7182818284590452353602874&pg=PA76|title=Mathematics and the Imagination|author=E.Kasner y J.Newman.|publisher=Conaculta|year=2007|isbn=978-968-5374-20-0|page=77}}</ref>
|<math>e</math>
|২.৭১৮২৮ ১৮২৮৪ ৫৯০৪৫ ২৩৫৩৬<ref group="Mw">{{MathWorld|e|e}}</ref><ref group="OEIS">{{OEIS2C|A001113}}</ref>
|<math> \lim_{n \to \infty} \left( 1 + \frac {1}{n}\right)^n = \sum_{n=0}^{\infty}\frac{1}{n!} = 1 + \frac{1}{1!} + \frac{1}{2!} + \frac{1}{3!} \cdots</math>
|১৬১৮<ref name="OConnor2">{{cite web|url=<!-- http://www.gap-system.org/~history/PrintHT/e.html -->http://www-history.mcs.st-and.ac.uk/HistTopics/e.html|title=The number ''e''|last1=O'Connor|first1=J J|last2=Robertson|first2=E F|publisher=MacTutor History of Mathematics}}</ref>
|data-sort-value="5"|[[Transcendental number|<math>\mathbb{R} \setminus \mathbb{A}</math>]]
|-
|[[Natural logarithm of 2|২ ৰ স্বাভাৱিক ঘাতাংক]]<ref>{{cite book|url=https://books.google.com/books?id=DQtpJaEs4NIC&q=0.6931471805599&pg=PA182|title=Handbook of Continued Fractions for Special Functions|author1=Annie Cuyt|author1-link= Annie Cuyt |author2=Vigdis Brevik Petersen|author3=Brigitte Verdonk|author4=Haakon Waadeland|author5=William B. Jones|publisher=Springer|year=2008|isbn=978-1-4020-6948-2|page=182}}</ref>
|<math>\ln 2</math>
|0.69314 71805 59945 30941 <ref group="Mw">{{MathWorld|NaturalLogarithmof2|Natural Logarithm of 2}}</ref><ref group="OEIS">{{OEIS2C|A002162}}</ref>
|<math>e^{x} = 2</math> ৰ প্ৰকৃত মূল
<math>\sum_{n=1}^\infty \frac{(-1)^{n+1}}{n} 
  = \frac{1}{1} - \frac{1}{2} + \frac{1}{3} - \frac{1}{4} + \cdots
</math>
|১৬১৯<ref>{{cite book|url=https://books.google.com/books?id=mGJRjIC9fZgC|title=A History of Mathematics|author-last=Cajori|author-first=Florian|date=1991|publisher=AMS Bookstore|isbn=0-8218-2102-4|edition=5th|page=152|author-link=Florian Cajori}}</ref> আৰু ১৬৬৮<ref>{{cite web|url=http://www-history.mcs.st-and.ac.uk/HistTopics/e.html|title=The number e|author-last1=O'Connor|author-first1=J. J.|date=September 2001|publisher=The MacTutor History of Mathematics archive|access-date=2009-02-02|author-first2=E. F.|author-last2=Robertson}}</ref>
|data-sort-value="5"|[[Transcendental number|<math>\mathbb{R} \setminus \mathbb{A}</math>]]
|-
|[[Lemniscate constant]]<ref>{{cite book|url=https://books.google.com/books?id=aKQhpm1h770C&q=2.6220575&pg=PA333|title=L-Functions and Arithmetic|author1=J. Coates|author2=Martin J. Taylor|publisher=Cambridge University Press|year=1991|isbn=978-0-521-38619-7|page=333}}</ref>
|<math>\varpi</math>
|2.62205 75542 92119 81046 <ref group="Mw">{{MathWorld|LemniscateConstant|Lemniscate Constant}}</ref><ref group="OEIS">{{OEIS2C|A062539}}</ref>
|<math> \pi \, {G} = 4 \sqrt{\tfrac2\pi}\,\Gamma{\left(\tfrac54 \right)^2} = \tfrac14 \sqrt{\tfrac{2}{\pi}}\,\Gamma {\left(\tfrac14 \right)^2}</math>
where <math>G</math> is [[Gauss's constant]]
|১৭১৮ – ১৭৯৮
|data-sort-value="5"|[[Transcendental number|<math>\mathbb{R} \setminus \mathbb{A}</math>]]
|-
|[[Euler's constant|অয়লাৰৰ ধ্ৰুৱক]]
|<math>\gamma</math>
|0.57721 56649 01532 86060 <ref group="Mw">{{MathWorld|Euler-MascheroniConstant|Euler–Mascheroni Constant}}</ref><ref group="OEIS">{{OEIS2C|A001620}}</ref>
|<math> \lim_{n\to\infty}\left(-\log n + \sum_{k=1}^n \frac1{k}\right)=\int_1^\infty\left(-\frac1x+\frac1{\lfloor x\rfloor}\right)\,dx </math>
|১৭৩৫
|data-sort-value="7"|
|-
|[[Erdős–Borwein constant]]<ref>{{cite arXiv|eprint=0806.4410|class=math.CA|author=Robert Baillie|title=Summing The Curious Series of Kempner and Irwin|year=2013}}</ref>
|<math>E</math>
|1.60669 51524 15291 76378 <ref group="Mw">{{MathWorld|Erdos-BorweinConstant|Erdos-Borwein Constant}}</ref><ref group="OEIS">{{OEIS2C|A065442}}</ref>
|<math>\sum_{n=1}^{\infty}\frac{1}{2^n-1} = \frac{1}{1} \! + \! \frac{1}{3} \! + \! \frac{1}{7} \! + \! \frac{1}{15} \! + \! \cdots</math>
|১৭৪৯<ref>{{cite book|url=http://www.math.dartmouth.edu/~euler/pages/E190.html|title=Consideratio quarumdam serierum, quae singularibus proprietatibus sunt praeditae|author=Leonhard Euler|year=1749|page=108}}</ref>
|data-sort-value="6"|[[Irrational number|<math>\mathbb{R} \setminus \mathbb{Q}</math>]]
|-
|[[Omega constant|অ'মেগা ধ্ৰুৱক]]
|<math>\Omega</math>
|0.56714 32904 09783 87299 <ref group="Mw">{{MathWorld|OmegaConstant|Omega Constant}}</ref><ref group="OEIS">{{OEIS2C|A030178}}</ref>
|<math>W(1)=\frac{1}{\pi}\int_0^\pi\log\left(1+\frac{\sin t}{t}e^{t\cot t}\right)dt</math>
where W is the [[Lambert W function]]
|১৭৫৮ আৰু ১৭৮৩
|data-sort-value="5"|[[Transcendental number|<math>\mathbb{R} \setminus \mathbb{A}</math>]]
|-
|[[Apéry's constant]]<ref>{{cite book|url=https://books.google.com/books?id=DQtpJaEs4NIC&q=1.202056903159594285399738&pg=PA188|title=Handbook of Continued Fractions for Special Functions|author1=Annie Cuyt|author2=Vigdis Brevik Petersen|author3=Brigitte Verdonk|author4=Haakon Waadelantl|author5=William B. Jones.|publisher=Springer|year=2008|isbn=978-1-4020-6948-2|page=188}}</ref>
|<math>\zeta(3)</math>
|1.20205 69031 59594 28539 <ref group="Mw">{{MathWorld|AperysConstant|Apéry's Constant}}</ref><ref group="OEIS" name="apery">{{OEIS2C|A002117}}</ref>
|<math>\sum_{n=1}^\infty\frac{1}{n^3} = \frac{1}{1^3}+\frac{1}{2^3} + \frac{1}{3^3} + \frac{1}{4^3} + \frac{1}{5^3} + \cdots</math>
|১৭৮০<ref group="OEIS" name="apery" />
|data-sort-value="6"|[[Irrational number|<math>\mathbb{R} \setminus \mathbb{Q}</math>]]
|-
|[[Laplace limit|লাপলাছ সীমা]]<ref>{{cite book|title=Orbital Mechanics for Engineering Students|title-link=Orbital Mechanics for Engineering Students|author=Howard Curtis|publisher=Elsevier|year=2014|isbn=978-0-08-097747-8|page=159}}</ref>
|
|0.66274 34193 49181 58097 <ref group="Mw">{{MathWorld|LaplaceLimit|Laplace Limit}}</ref><ref group="OEIS">{{OEIS2C|A033259}}</ref>
|Real root of <math> \frac{ x e^\sqrt{x^2+1}}{\sqrt{x^2+1}+1} = 1</math>
|data-sort-value="1782"|~১৭৮২
|data-sort-value="5"|[[Transcendental number|<math>\mathbb{R} \setminus \mathbb{A}</math>]]
|-
|[[Ramanujan–Soldner constant]]<ref>{{cite book|url=https://archive.org/details/bub_gb_g4Q_AAAAcAAJ|title=Théorie et tables d'une nouvelle fonction transcendante|author=Johann Georg Soldner|publisher=J. Lindauer, München|year=1809|page=[https://archive.org/details/bub_gb_g4Q_AAAAcAAJ/page/n39 42]|language=fr}}</ref><ref>{{cite book|url=https://archive.org/details/bub_gb_XkgDAAAAQAAJ|title=Adnotationes ad calculum integralem Euleri|author=Lorenzo Mascheroni|publisher=Petrus Galeatius, Ticini|year=1792|page=[https://archive.org/details/bub_gb_XkgDAAAAQAAJ/page/n34 17]|language=la}}</ref>
|<math>\mu</math>
|1.45136 92348 83381 05028 <ref group="Mw">{{MathWorld|SoldnersConstant|Soldner's Constant}}</ref><ref group="OEIS" name="solder">{{OEIS2C|A070769}}</ref>
|<math> \mathrm{li}(x) = \int_0^x  \frac{dt}{\ln t} = 0   </math>; root of the [[logarithmic integral]] function.
|১৭৯২<ref group="OEIS" name="solder" />
|data-sort-value="7"|
|-
|[[Gauss's constant|গাউছৰ ধ্ৰুৱক]]<ref>{{cite book|url=https://books.google.com/books?id=UrSnNeJW10YC&q=%22Gauss%27s+constant%22&pg=PA647|title=An Atlas of Functions: With Equator, the Atlas Function Calculator|author1=Keith B. Oldham|author2=Jan C. Myland|author3=Jerome Spanier|publisher=Springer|year=2009|isbn=978-0-387-48806-6|page=15}}</ref>
|<math>G</math>
|0.83462 68416 74073 18628 <ref name=":4" group="Mw">{{MathWorld|GausssConstant|Gauss's Constant}}</ref><ref group="OEIS">{{OEIS2C|A014549}}</ref>
|<math>\frac{1}{\mathrm{agm}(1, \sqrt{2})} = \frac{\Gamma(\frac{1}{4})^2}{2\sqrt{2 \pi^3}} = \frac{2}{\pi}\int_0^1\frac{dx}{\sqrt{1 - x^4}}</math>
where ''agm'' is the [[arithmetic–geometric mean]]
|১৭৯৯<ref>{{Cite book|title=Undergraduate convexity : problems and solutions|last=Nielsen, Mikkel Slot.|date = July 2016|isbn=9789813146211|pages=162|oclc=951172848}}</ref>
|data-sort-value="5"|[[Transcendental number|<math>\mathbb{R} \setminus \mathbb{A}</math>]]
|-
|দ্বিতীয় [[Hermite constant|হাৰমাইট ধ্ৰুৱক]]<ref>{{cite book|url=http://www.people.fas.harvard.edu/~sfinch/csolve/erradd.pdf|title=Errata and Addenda to Mathematical Constants|author=Steven Finch|publisher=Harvard.edu|year=2014|access-date=2013-12-17|archive-url=https://web.archive.org/web/20160316175639/http://www.people.fas.harvard.edu/~sfinch/csolve/erradd.pdf|archive-date=2016-03-16|url-status=dead|archivedate=2016-03-16|archiveurl=https://web.archive.org/web/20160316175639/http://www.people.fas.harvard.edu/~sfinch/csolve/erradd.pdf}}</ref>
|<math>\gamma_{2}</math>
|1.15470 05383 79251 52901 <ref group="Mw">{{MathWorld|HermiteConstants|Hermite Constants}}</ref><ref group="OEIS">{{OEIS2C|A246724}}</ref>
|<math> \frac{2}{\sqrt{3}} </math>
|১৮২২ – ১৯০১
|data-sort-value="4"|[[Algebraic number|<math>\mathbb{A}</math>]]
|-
|[[Liouville number#The existence of Liouville numbers (Liouville's constant)|Liouville's constant]]<ref>{{cite book|url=https://books.google.com/books?id=E3Eu3sV_anUC&q=Liouville+number+0.11000100000000000000000100&pg=PA187|title=Mathematical Traveler: Exploring the Grand History of Numbers|author=Calvin C. Clawson|publisher=Perseus|year=2003|isbn=978-0-7382-0835-0|page=187}}{{Dead link|date=December 2023 |bot=InternetArchiveBot |fix-attempted=yes }}</ref>
|<math>L</math>
|0.11000 10000 00000 00000 0001 <ref group="Mw">{{MathWorld|LiouvillesConstant|Liouville's Constant}}</ref><ref group="OEIS">{{OEIS2C|A012245}}</ref>
|<math> \sum_{n=1}^\infty \frac{1}{10^{n!}} = \frac {1}{10^{1!}} + \frac{1}{10^{2!}} + \frac{1}{10^{3!}} + \frac{1}{10^{4!}}  + \cdots</math>
|data-sort-value="1844"|১৮৪৪ চনৰ আগত
|data-sort-value="5"|[[Transcendental number|<math>\mathbb{R} \setminus \mathbb{A}</math>]]
|-
|First [[continued fraction]] constant
|<math>C_1</math>
|0.69777 46579 64007 98201 <ref group="Mw">{{MathWorld|ContinuedFractionConstants|Continued Fraction Constants}}</ref><ref group="OEIS">{{OEIS2C|A052119}}</ref>
|<math>\tfrac 1 {1+\tfrac 1{2+\tfrac 1{3+\tfrac 1{4+\tfrac 1{5+\cdots}}}}}</math>
<math>\frac{I_1(2)}{I_0(2)}</math>, where <math>I_{\alpha}(x)</math> is the [[modified Bessel function]]
|১৮৫৫<ref>{{cite journal |last1=Amoretti |first1=F. |title=Sur la fraction continue [0,1,2,3,4,...] |journal=Nouvelles annales de mathématiques |date=1855 |volume=1 |issue=14 |pages=40–44 |url=http://www.numdam.org/item/?id=NAM_1855_1_14__40_1}}</ref>
|data-sort-value="6"|[[Irrational number|<math>\mathbb{R} \setminus \mathbb{Q}</math>]]
|-
|[[Heegner number#Almost integers and Ramanujan's constant|ৰামানুজনৰ ধ্ৰুৱক]]<ref>{{cite book|url=https://books.google.com/books?id=txPhITLO1YoC&q=262537412640768743.99999999999925&pg=PA107|title=Modular Forms: A Classical and Computational Introduction|author=L. J. Lloyd James Peter Kilford|publisher=Imperial College Press|year=2008|isbn=978-1-84816-213-6|page=107}}</ref>
|
|262 53741 26407 68743 <br> .99999 99999 99250 073 <ref group="Mw">{{MathWorld|RamanujanConstant|Ramanujan Constant}}</ref><ref group="OEIS">{{OEIS2C|A060295}}</ref>
|<math>e^{\pi\sqrt{163}}</math>
|১৮৫৯
|data-sort-value="5"|[[Transcendental number|<math>\mathbb{R} \setminus \mathbb{A}</math>]]
|-
|[[Glaisher–Kinkelin constant]]
|<math>A</math>
|1.28242 71291 00622 63687<ref group="Mw">{{MathWorld|Glaisher-KinkelinConstant|Glaisher-Kinkelin Constant}}</ref><ref group="OEIS" name="glaisher">{{OEIS2C|A074962}}</ref>
|<math> e^{\frac{1}{12}-\zeta^\prime(-1)} =
 e^{\frac{1}{8}-\frac{1}{2}\sum\limits_{n=0}^\infty \frac{1}{n+1} \sum\limits_{k=0}^n \left(-1\right)^k \binom{n}{k} \left(k+1\right)^2 \ln(k+1)}</math>
|১৮৬০<ref group="OEIS" name="glaisher" />
|data-sort-value="7"|
|-
|[[Catalan's constant]]<ref>{{cite book|url=https://books.google.com/books?id=5Lp-tGZR25sC&q=0.91596559417721901505460351493238411&pg=PA127|title=Number Theory: Volume II: Analytic and Modern Tools|author=Henri Cohen|publisher=Springer|year=2000|isbn=978-0-387-49893-5|page=127}}</ref><ref>{{cite book|url=https://books.google.com/books?id=NBcSzUlaWWAC&q=0.915965594177219015&pg=PA29|title=Series Associated With the Zeta and Related Functions|author1=H. M. Srivastava|author2=Choi Junesang|publisher=Kluwer Academic Publishers|year=2001|isbn=978-0-7923-7054-3|page=30}}</ref><ref>{{cite book|url=https://books.google.com/books?id=LXZFAAAAcAAJ&pg=PA618|title=Mémoire sur la transformation des séries, et sur quelques intégrales définies, Comptes rendus hebdomadaires des séances de l'Académie des sciences 59|author=E. Catalan|publisher=Kluwer Academic éditeurs|year=1864|page=618}}</ref>
|<math>G</math>
|0.91596 55941 77219 01505 <ref group="Mw">{{MathWorld|CatalansConstant|Catalan's Constant}}</ref><ref group="OEIS">{{OEIS2C|A006752}}</ref>
|<math> \int_0^1 \!\! \int_0^1 \!\! \frac{dx \, dy}{1{+}x^2 y^2}
= \! \sum_{n = 0}^\infty \! \frac{(-1)^n}{(2n{+}1)^2} \!
= \! \frac{1}{1^2}{-}\frac{1}{3^2}{+}{\cdots} </math>
|১৮৬৪
|data-sort-value="7"|
|-
|[[Dottie number]]<ref>{{cite book|url=https://books.google.com/books?id=eztUxtCfNXoC&q=Single%20Variable%20Calculus%3A%20Concepts%20and%20Contexts%20%20Escrito%20por%20James%20Stewart&pg=PA314|title=Single Variable Calculus: Concepts and Contexts|author=James Stewart|publisher=Brooks/Cole|year=2010|isbn=978-0-495-55972-6|page=314}}</ref>
|
|0.73908 51332 15160 64165 <ref name=":1" group="Mw">{{MathWorld|DottieNumber|Dottie Number}}</ref><ref group="OEIS">{{OEIS2C|A003957}}</ref>
|Real root of <math>\cos x = x</math>
|১৮৬৫<ref name=":1" group="Mw" />
|data-sort-value="5"|[[Transcendental number|<math>\mathbb{R} \setminus \mathbb{A}</math>]]
|-
|[[Meissel–Mertens constant]]<ref>{{cite book|url=https://books.google.com/books?id=7-sDtIy8MNIC&q=Khinchin%27s+constant&pg=PA161|title=Gamma: Exploring Euler's Constant|author=Julian Havil|publisher=Princeton University Press|year=2003|isbn=9780691141336|page=64}}</ref>
|<math>M</math>
|0.26149 72128 47642 78375 <ref group="Mw">{{MathWorld|MertensConstant|Mertens Constant}}</ref><ref group="OEIS">{{OEIS2C|A077761}}</ref>
|<math>\lim_{n\to\infty}\left(\sum_{p\le n}\frac{1}{p}-\ln\ln n\right) = \gamma + \sum_{p}\left(\ln\left(1 - \frac{1}{p}\right) + \frac{1}{p}\right)</math>
where ''γ'' is the [[Euler–Mascheroni constant]] and ''p'' is prime
|১৮৬৬ আৰু ১৮৭৩
|data-sort-value="7"|
|-
|[[Universal parabolic constant]]<ref name=":14">{{cite book|url=http://www.people.fas.harvard.edu/~sfinch/csolve/erradd.pdf|title=Errata and Addenda to Mathematical Constants|author=Steven Finch|publisher=Harvard.edu|year=2014|page=59|access-date=2013-12-17|archive-url=https://web.archive.org/web/20160316175639/http://www.people.fas.harvard.edu/~sfinch/csolve/erradd.pdf|archive-date=2016-03-16|url-status=dead|archivedate=2016-03-16|archiveurl=https://web.archive.org/web/20160316175639/http://www.people.fas.harvard.edu/~sfinch/csolve/erradd.pdf}}</ref>
|<math>P</math>
|2.29558 71493 92638 07403 <ref group="Mw">{{MathWorld|UniversalParabolicConstant|Universal Parabolic Constant}}</ref><ref group="OEIS">{{OEIS2C|A103710}}</ref>
|<math>\ln(1 + \sqrt2) + \sqrt2 \; = \; \operatorname{arsinh}(1)+\sqrt{2}</math>
|data-sort-value="1891"|১৮৯১ চনৰ আগত<ref>{{Cite book|url=https://archive.org/details/anelementarytre00osbogoog|title=An Elementary Treatise on the Differential and Integral Calculus|last=Osborne|first=George Abbott|publisher=Leach, Shewell, and Sanborn|year=1891|pages=[https://archive.org/details/anelementarytre00osbogoog/page/n265 250]}}</ref>
|data-sort-value="5"|[[Transcendental number|<math>\mathbb{R} \setminus \mathbb{A}</math>]]
|-
|[[Cahen's constant]]<ref>{{cite book|url=https://books.google.com/books?id=iAg8FL5jKSgC&q=%22cahen+constant%22&pg=PA72|title=Series representations for some mathematical constants|author=Yann Bugeaud|year=2004|isbn=978-0-521-82329-6|page=72|publisher=Cambridge University Press }}</ref>
|<math>C</math>
|0.64341 05462 88338 02618 <ref group="Mw">{{MathWorld|CahensConstant|Cahen's Constant}}</ref><ref group="OEIS">{{OEIS2C|A118227}}</ref>
|<math> \sum_{k=1}^{\infty} \frac{(-1)^{k}}{s_k-1} = \frac{1}{1} - \frac{1}{2} + \frac{1}{6} - \frac{1}{42} + \frac{1}{1806} {\,\pm \cdots}  </math> 
where ''s<sub>k</sub>'' is the ''k''th term of ''[[Sylvester's sequence]]'' 2, 3, 7, 43, 1807, ...
|১৮৯১
|data-sort-value="5"|[[Transcendental number|<math>\mathbb{R} \setminus \mathbb{A}</math>]]
|-
|[[Gelfond's constant]]<ref>{{cite book|url=https://books.google.com/books?id=7L7xcjBPemEC&q=23.14069&pg=RA2-PA4|title=The Penguin Dictionary of Curious and Interesting Numbers|author=David Wells|author-link=David G. Wells|publisher=Penguin Books Ltd.|year=1997|isbn=9780141929408|page=4}}</ref>
|<math>e^{\pi}</math>
|23.14069 26327 79269 0057 <ref group="Mw">{{MathWorld|GelfondsConstant|Gelfonds Constant}}</ref><ref group="OEIS">{{OEIS2C|A039661}}</ref>
|<math> (-1)^{-i} = i^{-2i} = \sum_{n=0}^\infty \frac{\pi^{n}}{n!} = 1 + \frac{\pi^{1}}{1} + \frac{\pi^{2}}{2} + \frac{\pi^{3}}{6} + \cdots</math>
|১৯০০<ref name="tijdeman">{{cite book|title=Mathematical Developments Arising from Hilbert Problems|last=Tijdeman|first=Robert|publisher=[[American Mathematical Society]]|year=1976|isbn=0-8218-1428-1|editor=Felix E. Browder|editor-link=Felix Browder|series=[[Proceedings of Symposia in Pure Mathematics]]|volume=XXVIII.1|pages=241–268|chapter=On the Gel'fond–Baker method and its applications|zbl=0341.10026|author-link=Robert Tijdeman}}</ref>
|data-sort-value="5"|[[Transcendental number|<math>\mathbb{R} \setminus \mathbb{A}</math>]]
|-
|[[Gelfond–Schneider constant]]<ref>{{cite book|url=https://books.google.com/books?id=RSU8AAAAQBAJ&q=2.6651&pg=PA328|title=Precalculus: With Unit Circle Trigonometry|author=David Cohen|publisher=Thomson Learning Inc.|year=2006|isbn=978-0-534-40230-3|page=328}}</ref>
|<math>2^{\sqrt{2}}</math>
|2.66514 41426 90225 18865 <ref group="Mw">{{MathWorld|Gelfond-SchneiderConstant|Gelfond-Schneider Constant}}</ref><ref group="OEIS" name="schneider">{{OEIS2C|A007507}}</ref>
|
|data-sort-value="1902"|১৯০২ চনৰ আগত<ref group="OEIS" name="schneider" />
|data-sort-value="5"|[[Transcendental number|<math>\mathbb{R} \setminus \mathbb{A}</math>]]
|-
|Second [[Favard constant]]<ref name="books.google.com">{{cite book|url=https://books.google.com/books?id=nbjOnJlJfFYC&q=Favard+Constant&pg=PA274|title=Quadrature Theory: The Theory of Numerical Integration on a Compact Interval|author1=Helmut Brass|author2=Knut Petras|publisher=AMS|year=2010|isbn=978-0-8218-5361-0|page=274}}</ref>
|<math>K_{2}</math>
|1.23370 05501 36169 82735 <ref group="Mw">{{MathWorld|FavardConstants|Favard Constants}}</ref><ref group="OEIS">{{OEIS2C|A111003}}</ref>
|<math> \frac{\pi^2}{8} = \sum_{n = 0}^\infty \frac{1}{(2n-1)^2} = \frac{1}{1^2}+\frac{1}{3^2}+\frac{1}{5^2}+\frac{1}{7^2}+\cdots </math>
|১৯০২ – ১৯৬৫
|data-sort-value="5"|[[Transcendental number|<math>\mathbb{R} \setminus \mathbb{A}</math>]]
|-
|[[Golden angle|সোণালী কোণ]]<ref>{{cite book|url=http://fibonacci.ucoz.com/index/ang/0-9|title=Ángulo áureo}}</ref>
|<math>g</math>
|2.39996 32297 28653 32223 <ref group="Mw">{{MathWorld|GoldenAngle|Golden Angle}}</ref><ref group="OEIS">{{OEIS2C|A131988}}</ref>
|<math>\frac{2\pi}{\varphi^2} = \pi (3-\sqrt{5})</math> or

<math>180 (3-\sqrt{5})=137.50776\ldots</math> in degrees
|১৯০৭
|data-sort-value="5"|[[Transcendental number|<math>\mathbb{R} \setminus \mathbb{A}</math>]]
|-
|[[Sierpiński's constant]]<ref>{{cite book|url=https://books.google.com/books?id=aFDWuZZslUUC&q=1.584962500&pg=PA2685|title=CRC Concise Encyclopedia of Mathematics, Second Edition|author=Eric W. Weisstein|publisher=CRC Press|year=2002|isbn=9781420035223|page=1356}}</ref>
|<math>K</math>
|2.58498 17595 79253 21706 <ref group="Mw">{{MathWorld|SierpinskiConstant|Sierpinski Constant}}</ref><ref group="OEIS">{{OEIS2C|A062089}}</ref>
|<math>\begin{align}
&\pi\left(2\gamma+\ln\frac{4\pi^3}{\Gamma(\tfrac{1}{4})^4}\right) =
  \pi (2 \gamma + 4 \ln\Gamma(\tfrac{3}{4}) - \ln\pi) \\
&= \pi \left(2 \ln 2+3 \ln \pi + 2 \gamma - 4 \ln \Gamma (\tfrac{1}{4})\right)
\end{align} </math>
|১৯০৭
|data-sort-value="7"|
|-
|[[Landau–Ramanujan constant|লেণ্ডাউ-ৰামানুজন ধ্ৰুৱক]]<ref name=":49">{{cite book|url=https://books.google.com/books?id=ZXjHKPS1LEAC&q=Landau-Ramanujan+constant&pg=PA80|title=Prime Numbers: A Computational Perspective|author1=Richard E. Crandall|author2=Carl B. Pomerance|publisher=Springer|year=2005|isbn=978-0387-25282-7|page=80}}</ref>
|<math>K</math>
|0.76422 36535 89220 66299 <ref group="Mw">{{MathWorld|Landau-RamanujanConstant|Landau-Ramanujan Constant}}</ref><ref group="OEIS" name="landau">{{OEIS2C|A064533}}</ref>
|<math>\frac1{\sqrt2}\prod_{{p \equiv 3 \text{ mod } 4}\atop p \;{\rm prime}} {\left(1-\frac1{p^2}\right)^{-\frac{1}{2}}}\!\!=\frac\pi4\prod_{{p \equiv 1 \text{ mod } 4}\atop p \;{\rm prime}}  {\left(1-\frac1{p^2}\right)^\frac{1}{2}}</math>
|১৯০৮<ref group="OEIS" name="landau" />
|data-sort-value="7"|
|-
|First [[Niels Nielsen (mathematician)|Nielsen]]–[[Ramanujan]] constant<ref>{{cite book|url=http://bitman.name/math/article/872|title=Nielsen – Ramanujan (costanti di)|author=Mauro Fiorentini}}</ref>
|<math>a_{1}</math>
|0.82246 70334 24113 21823 <ref group="Mw">{{MathWorld|Nielsen-RamanujanConstants|Nielsen-Ramanujan Constants}}</ref><ref group="OEIS">{{OEIS2C|A072691}}</ref>
|<math> \frac{{\zeta}(2)}{2} = \frac{\pi^2}{12} = \sum_{n=1}^\infty\frac{(-1)^{n+1}}{n^2} = \frac{1}{1^2} {-} \frac{1}{2^2} {+} \frac{1}{3^2} {-} \frac{1}{4^2} {+} \cdots </math>
|১৯০৯
|data-sort-value="5"|[[Transcendental number|<math>\mathbb{R} \setminus \mathbb{A}</math>]]
|-
|[[:de:Gieseking-Konstante|Gieseking constant]]<ref>{{cite book|url=http://www.people.fas.harvard.edu/~sfinch/csolve/hyp.pdf|title=Volumes of Hyperbolic 3-Manifolds|author=Steven Finch|publisher=Harvard University|archive-url=https://web.archive.org/web/20150919160427/http://www.people.fas.harvard.edu/~sfinch/csolve/hyp.pdf|archive-date=2015-09-19|url-status=dead|access-date=2023-12-20|archivedate=2015-09-19|archiveurl=https://web.archive.org/web/20150919160427/http://www.people.fas.harvard.edu/~sfinch/csolve/hyp.pdf}}</ref>
|<math>G</math>
|1.01494 16064 09653 62502 <ref group="Mw">{{MathWorld|GiesekingsConstant|Gieseking's Constant}}</ref><ref group="OEIS">{{OEIS2C|A143298}}</ref>
|<math>\frac{3\sqrt{3}}{4} \left(1- \sum_{n=0}^\infty \frac{1}{(3n+2)^2}+ \sum_{n=1}^\infty\frac{1}{(3n+1)^2} \right)= </math> <br /> 
<math>\textstyle \frac{3\sqrt{3}}{4} \left( 1 - \frac{1}{2^2} + \frac{1}{4^2}-\frac{1}{5^2}+\frac{1}{7^2}-\frac{1}{8^2}+\frac{1}{10^2} \pm \cdots \right)</math>.
|১৯১২
|data-sort-value="7"|
|-
|[[Bernstein's constant|বাৰ্ণষ্টাইনৰ ধ্ৰুৱক]]<ref>{{cite book|url=https://books.google.com/books?id=En41UGQ6YXsC&q=0.28016949902386913303643649&pg=PA211|title=Approximation Theory and Approximation Practice|author=Lloyd N. Trefethen|publisher=SIAM|year=2013|isbn=978-1-611972-39-9|page=211}}</ref>
|<math>\beta</math>
|0.28016 94990 23869 13303 <ref group="Mw">{{MathWorld|BernsteinsConstant|Bernstein's Constant}}</ref><ref group="OEIS">{{OEIS2C|A073001}}</ref>
|<math> \lim_{n\to\infty} 2n E_{2n}(f)</math>, where ''E''<sub>''n''</sub>(f) is the error of the best [[uniform approximation]] to a [[real function]] ''f''(''x'') on the interval [&minus;1, 1] by real polynomials of no more than degree ''n'', and ''f''(''x''<nowiki>) = |</nowiki>''x''<nowiki>|</nowiki>
|১৯১৩
|data-sort-value="7"|
|-
|[[Generalizations of Fibonacci numbers#Tribonacci numbers|ট্ৰিব'নাকি ধ্ৰুৱক]]<ref name="agr">{{Cite journal |last=Agronomof |first=M. |year=1914 |title=Sur une suite récurrente. |journal=Mathesis |volume=4 |pages=125–126}}</ref>
|
|1.83928 67552 14161 13255 <ref group="Mw">{{MathWorld|TribonacciConstant|Tribonacci Constant}}</ref><ref group="OEIS">{{OEIS2C|A058265}}</ref>
|<math display="inline">\frac{1+\sqrt[3]{19+3\sqrt{33}}+\sqrt[3]{19-3\sqrt{33}}}{3} = \frac{1+4\cosh\left(\frac{1}{3}\cosh^{-1}\left(2+\frac{3}{8}\right)\right)}{3} </math>
Real root of <math>x^{3} - x^{2} - x - 1 = 0</math>
|১৯১৪ – ১৯৬৩
|data-sort-value="4"|[[Algebraic number|<math>\mathbb{A}</math>]]
|-
|[[Brun's constant]]<ref name=":53">{{Cite book |last=Thomas Koshy |url=https://books.google.com/books?id=d5Z5I3gnFh0C&q=Brun+constant&pg=PA118 |title=Elementary Number Theory with Applications |publisher=Elsevier |year=2007 |isbn=978-0-12-372-487-8 |page=119}}</ref>
|<math>B_{2}</math>
|1.90216 05831 04 {{refn|group=Mw|name=Brun's Constant|{{MathWorld|BrunsConstant|Brun's Constant}}}}<ref name=":0" group="OEIS">{{OEIS2C|A065421}}</ref>
|<math> \textstyle {\sum\limits_p(\frac1{p}+\frac1{p+2})} = (\frac1{3} \! + \! \frac1{5}) + (\tfrac1{5} \! + \! \tfrac1{7}) + (\tfrac1{11} \! + \! \tfrac1{13}) + \cdots </math>
where the sum ranges over all primes ''p'' such that ''p'' + 2 is also a prime
|১৯১৯<ref name=":0" group="OEIS" />
|data-sort-value="7"|
|-
|[[Twin prime#First Hardy–Littlewood conjecture|Twin primes constant]]
|<math>C_{2}</math>
|0.66016 18158 46869 57392 <ref group="Mw">{{MathWorld|TwinPrimesConstant|Twin Primes Constant}}</ref><ref group="OEIS">{{OEIS2C|A005597}}</ref>
|<math>\prod_{\textstyle{p\;{\rm prime}\atop p \ge 3}} \left(1 - \frac{1}{(p-1)^2}\right)</math>
|১৯২২
|data-sort-value="7"|
|-
|[[Plastic ratio|প্লাষ্টিক অনুপাত]]<ref>{{cite book|url=https://books.google.com/books?id=oW6Xeo8EmDgC&q=%22Plastic+number%22&pg=PT120|title=Professor Stewart's Cabinet of Mathematical Curiosities|author=Ian Stewart|publisher=Birkhäuser Verlag|year=1996|isbn=978-1-84765-128-0}}</ref>
|<math>\rho</math>
|1.32471 79572 44746 02596 <ref group="Mw">{{MathWorld|PlasticConstant|Plastic Constant}}</ref><ref group="OEIS" name="plastic">{{OEIS2C|A060006}}</ref>
|<math>\sqrt[3]{1 + \! \sqrt[3]{1 + \! \sqrt[3]{1 + \cdots}}} = \textstyle \sqrt[3]{\frac{1}{2}+\frac{\sqrt{69}}{18}}+\sqrt[3]{\frac{1}{2}-\frac{\sqrt{69}}{18}}</math>
Real root of <math>x^{3} = x + 1</math>
|১৯২৪<ref group="OEIS" name="plastic" />
|data-sort-value="4"|[[Algebraic number|<math>\mathbb{A}</math>]]
|-
|[[Bloch's theorem (complex variables)|Bloch's constant]]<ref name="Eric W. Weisstein 2003 1688">{{cite book|url=https://books.google.com/books?id=aFDWuZZslUUC&q=Bloch-Landau+constant&pg=PA1688|title=CRC Concise Encyclopedia of Mathematics, Second Edition|author=Eric W. Weisstein|publisher=CRC Press|year=2003|isbn=978-1-58488-347-0|page=1688}}</ref>
|<math>B</math>
|data-sort-value=0.43320|<math>0.4332\leq B\leq 0.4719</math> <ref group="Mw">{{MathWorld|BlochConstant|Bloch Constant}}</ref><ref group="OEIS" name="bloch">{{OEIS2C|A085508}}</ref>
|The best known bounds are <math>\frac{\sqrt{3}}{4}+2\times10^{-4}\leq B\leq \sqrt{\frac{\sqrt{3}-1}{2}}\cdot\frac{\Gamma(\frac{1}{3})\Gamma(\frac{11}{12})}{\Gamma(\frac{1}{4})}</math>
|১৯২৫<ref group="OEIS" name="bloch" />
|data-sort-value="7"|
|-
|[[1.96|Z score for the 97.5 percentile point]]<ref>
{{Citation| last=Rees | first=DG |title=Foundations of Statistics| page=246 |publisher=CRC Press |isbn=0-412-28560-6| quote=Why 95% confidence? Why not some other ''confidence level''? The use of 95% is partly convention, but levels such as 90%, 98% and sometimes 99.9% are also used.| year=1987}}</ref><ref>{{cite web
 |url         = http://www.itl.nist.gov/div898/handbook/eda/section3/eda352.htm
 |title       = Engineering Statistics Handbook: Confidence Limits for the Mean
 |accessdate  = 2008-02-04
 |publisher   = National Institute of Standards and Technology
 |quote       = Although the choice of confidence coefficient is somewhat arbitrary, in practice 90%, 95%, and 99% intervals are often used, with 95% being the most commonly used.
 |archiveurl  = https://web.archive.org/web/20080205120031/http://www.itl.nist.gov/div898/handbook/eda/section3/eda352.htm
 |archivedate = 5 February 2008
 |url-status     = dead
 |df          = dmy-all
}}</ref><ref>
{{Citation | title=Real-Life Math: Statistics | first1=Eric T | last1=Olson | first2=Tammy Perry | last2=Olson | page=[https://archive.org/details/statistics0000olso/page/66 66] | publisher=Walch Publishing | year=2000 | isbn=0-8251-3863-9 | quote=While other stricter, or looser, limits may be chosen, the 95 percent interval is very often preferred by statisticians. | url=https://archive.org/details/statistics0000olso/page/66 }}</ref><ref>{{cite journal|doi=10.1080/03610920802255856|last=Swift| first=MB| title=Comparison of Confidence Intervals for a Poisson Mean - Further Considerations|journal=Communications in Statistics - Theory and Methods|year=2009 | volume=38| issue=5| pages=748–759|s2cid=120748700 | quote=In modern applied practice, almost all confidence intervals are stated at the 95% level.}}</ref>
|<math>z_{.975}</math>
|1.95996 39845 40054 23552 <ref group="Mw">{{MathWorld|ConfidenceInterval|Confidence Interval}}</ref><ref group="OEIS">{{OEIS2C|A220510}}</ref>
|<math>\sqrt{2}\operatorname{erf}^{-1}(0.95)</math> where {{math|erf<sup>−1</sup>(''x'')}} is the [[inverse error function]]
Real number <math>z</math> such that <math> \frac{1}{\sqrt{2\pi}}\int_{-\infty}^{z} e^{-x^2/2} \, \mathrm{d}x = 0.975</math>
|১৯২৫
|data-sort-value="7"|
|-
|[[Bloch's theorem (complex variables)|লেণ্ডাউৰ ধ্ৰুৱক]]<ref name="Eric W. Weisstein 2003 1688"/>
|<math>L</math>
|data-sort-value=0.50000|<math>0.5 < L \le 0.54326</math> <ref group="Mw">{{MathWorld|LandauConstant|Landau Constant}}</ref><ref group="OEIS">{{OEIS2C|A081760}}</ref>
|The best known bounds are <math>0.5 < L \le \frac{\Gamma(\frac{1}{3})\Gamma(\frac{5}{6})}{\Gamma(\frac{1}{6})}</math>
|১৯২৯
|data-sort-value="7"|
|-
|[[Landau's constant|লেণ্ডাউৰ তৃতীয় ধ্ৰুৱক]]<ref name="Eric W. Weisstein 2003 1688"/>
|<math>A</math>
|data-sort-value=0.50000|<math>0.5 < A \le 0.7853</math>
|
|১৯২৯
|data-sort-value="7"|
|-
|[[Prouhet–Thue–Morse constant]]<ref name=":22">{{cite book|url=http://www.people.fas.harvard.edu/~sfinch/csolve/erradd.pdf|title=Errata and Addenda to Mathematical Constants|author=Steven Finch|publisher=Harvard.edu|year=2014|page=53|access-date=2013-12-17|archive-url=https://web.archive.org/web/20160316175639/http://www.people.fas.harvard.edu/~sfinch/csolve/erradd.pdf|archive-date=2016-03-16|url-status=dead|archivedate=2016-03-16|archiveurl=https://web.archive.org/web/20160316175639/http://www.people.fas.harvard.edu/~sfinch/csolve/erradd.pdf}}</ref>
|<math>\tau</math>
|0.41245 40336 40107 59778  <ref group="Mw">{{MathWorld|Thue-MorseConstant|Thue-Morse Constant}}</ref><ref group="OEIS" name="prouhet">{{OEIS2C|A014571}}</ref>
|<math> \sum_{n=0}^{\infty} \frac{t_n}{2^{n+1}} = \frac{1}{4}\left[2-\prod_{n=0}^{\infty}\left(1-\frac{1}{2^{2^n}}\right)\right]</math>
where <math> {t_n} </math> is the ''n''<sup>th</sup> term of the [[Thue–Morse sequence]]
|১৯২৯<ref group="OEIS" name="prouhet" />
|data-sort-value="5"|[[Transcendental number|<math>\mathbb{R} \setminus \mathbb{A}</math>]]
|-
|[[Golomb–Dickman constant]]<ref>{{cite book|url=https://books.google.com/books?id=aFDWuZZslUUC&q=Golomb%E2%80%93Dickman+constant&pg=PA1211|title=CRC Concise Encyclopedia of Mathematics|author=Eric W. Weisstein|publisher=Crc Press|year=2002|isbn=9781420035223|page=1212}}</ref>
|<math>\lambda</math>
|0.62432 99885 43550 87099 <ref group="Mw">{{MathWorld|Golomb-DickmanConstant|Golomb-Dickman Constant}}</ref><ref group="OEIS">{{OEIS2C|A084945}}</ref>
|<math>\int_{0}^{1} e^{\mathrm{Li}(t)} dt = \int_0^{\infty} \frac{\rho(t)}{t+2} dt</math>
where Li(''t'') is the logarithmic integral, and ''ρ''(''t'') is the [[Dickman function]]
|১৯৩০ & ১৯৬৪
|data-sort-value="7"|
|-
|Constant related to the asymptotic behavior of [[Lebesgue constant (interpolation)|Lebesgue constants]]<ref name=":27">{{cite journal|author=Horst Alzer|year=2002|title=Journal of Computational and Applied Mathematics, Volume 139, Issue 2|url=http://ac.els-cdn.com/S0377042701004265/1-s2.0-S0377042701004265-main.pdf?_tid=c20cf466-f4bf-11e3-bd9c-00000aacb362&acdnat=1402859198_57de7868bcc50086f092c66898ec6a33|journal=Journal of Computational and Applied Mathematics|volume=139|issue=2|pages=215–230|doi=10.1016/S0377-0427(01)00426-5|doi-access=free}}</ref>
|<math>c</math>
|0.98943 12738 31146 95174 <ref group="Mw" name="lebesgue">{{MathWorld|LebesgueConstants|Lebesgue Constants}}</ref><ref group="OEIS">{{OEIS2C|A243277}}</ref>
|<math>\lim_{n\to\infty}\!\! \left(\!{L_n{-}\frac{4}{\pi^2}\ln(2n{+}1)}\!\!\right)\!{=}
\frac{4}{\pi^2}\!\left({\sum_{k=1}^\infty \!\frac{2\ln k}{4k^2{-}1}}
{-}\frac{\Gamma'(\tfrac12)}{\Gamma(\tfrac12)}\!\!\right)</math>
|১৯৩০<ref group="Mw" name="lebesgue" />
|data-sort-value="7"|
|-
|[[Feller–Tornier constant]]<ref>{{cite book|url=https://www.ams.org/journals/tran/1964-112-02/S0002-9947-1964-0166181-5/S0002-9947-1964-0166181-5.pdf|title=SOME ASYMPTOTIC FORMULAS IN THE THEORY OF NUMBERS|author=ECKFORD COHEN|publisher=University of Tennessee|year=1962|page=220}}</ref>
|<math>\mathcal{C}_{\mathrm{FT}}</math>
|0.66131 70494 69622 33528 <ref group="Mw">{{MathWorld|Feller-TornierConstant|Feller-Tornier Constant}}</ref><ref group="OEIS">{{OEIS2C|A065493}}</ref>
|<math>{\frac{1}{2}\prod_{p\text{ prime}} \left(1-\frac{2}{p^2}\right) + \frac{1}{2}} =\frac{3}{\pi^2}\prod_{p\text{ prime}} \left(1-\frac{1}{p^2-1}\right) + \frac{1}{2}</math>
|১৯৩২
|data-sort-value="7"|
|-
|Base 10 [[Champernowne constant]]<ref name="Computation, Physics and Beyond">{{cite book|url=https://books.google.com/books?id=wRWyMbmJTMYC&q=%22Champernowne+number%22&pg=PA109|title=Computation, Physics and Beyond|author1=Michael J. Dinneen|author2=Bakhadyr Khoussainov|author3=Prof. Andre Nies|publisher=Springer|year=2012|isbn=978-3-642-27653-8|page=110}}</ref>
|<math>C_{10}</math>
|0.12345 67891 01112 13141 <ref group="Mw">{{MathWorld|ChampernowneConstant|Champernowne Constant}}</ref><ref group="OEIS">{{OEIS2C|A033307}}</ref>
|Defined by concatenating representations of successive integers:
0.1 2 3 4 5 6 7 8 9 10 11 12 13 14 ...
|১৯৩৩
|data-sort-value="5"|[[Transcendental number|<math>\mathbb{R} \setminus \mathbb{A}</math>]]
|-
|[[Salem number|Salem constant]]<ref>{{cite book|url=https://books.google.com/books?id=LYT5sBm_Ie0C&q=1.1762808&pg=PA246|title=Distribution Theory of Algebraic Numbers|author=Pei-Chu Hu, Chung-Chun|publisher=Hong Kong University|year=2008|isbn=978-3-11-020536-7|page=246}}</ref>
|<math>\sigma_{10}</math>
|1.17628 08182 59917 50654 <ref group="Mw">{{MathWorld|SalemConstants|Salem Constants}}</ref><ref group="OEIS" name="lehmer">{{OEIS2C|A073011}}</ref>
|Largest real root of <math>x^{10}+x^9-x^7-x^6-x^5-x^4-x^3+x+1=0 </math>
|১৯৩৩<ref group="OEIS" name="lehmer" />
|data-sort-value="4"|[[Algebraic number|<math>\mathbb{A}</math>]]
|-
|[[Khinchin's constant]]<ref>{{cite book|url=https://books.google.com/books?id=7-sDtIy8MNIC&q=Khinchin%27s+constant&pg=PA161|title=Gamma: Exploring Euler's Constant|author=Julian Havil|publisher=Princeton University Press|year=2003|isbn=9780691141336|page=161}}</ref>
|<math>K_{0}</math>
|{{nobr|2.68545 20010 65306 44530}}&nbsp;<ref group="Mw">{{MathWorld|KhinchinsConstant|Khinchin's Constant}}</ref><ref group="OEIS">{{OEIS2C|A002210}}</ref>
|<math> \prod_{n=1}^\infty \left[{1+{1\over n(n+2)}}\right]^{\log_2(n)}</math>
|১৯৩৪
|data-sort-value="7"|
|-
|[[Lévy's constant]] (1)<ref>{{cite book|url=https://books.google.com/books?id=R7Fp8vytgeAC&pg=PA66|title=Continued Fractions|author=Aleksandr I͡Akovlevich Khinchin|publisher=Courier Dover Publications|year=1997|isbn=978-0-486-69630-0|page=66}}</ref>
|<math>\beta</math>
|1.18656 91104 15625 45282 <ref group="Mw">{{MathWorld|LevyConstant|Levy Constant}}</ref><ref group="OEIS">{{OEIS2C|A100199}}</ref>
|<math>\frac {\pi^2}{12\,\ln 2}</math>
|১৯৩৫
|data-sort-value="7"|
|-
|[[Lévy's constant]] (2)<ref>{{cite journal|arxiv=1002.4171|author=Marek Wolf|title=Two arguments that the nontrivial zeros of the Riemann zeta function are irrational|journal=Computational Methods in Science and Technology|year=2018|volume=24|issue=4|pages=215–220|doi=10.12921/cmst.2018.0000049|s2cid=115174293}}</ref>
|<math>e^{\beta}</math>
|3.27582 29187 21811 15978 <ref group="Mw">{{MathWorld|LevyConstant|Levy Constant}}</ref><ref group="OEIS">{{OEIS2C|A086702}}</ref>
|<math> e^{\pi^2/(12\ln2)}</math>
|১৯৩৬
|data-sort-value="7"|
|-
|[[Copeland–Erdős constant]]<ref name=":40">{{cite book|url=https://books.google.com/books?id=NeEpoAf7k0IC&q=0.235711131719232931&pg=PA87|title=Distribution Modulo One and Diophantine Approximation|author=Yann Bugeaud|publisher=Cambridge University Press|year=2012|isbn=978-0-521-11169-0|page=87}}</ref>
|<math>\mathcal{C}_{CE}</math>
|0.23571 11317 19232 93137 <ref group="Mw">{{MathWorld|Copeland-ErdosConstant|Copeland-Erdos Constant}}</ref><ref group="OEIS" name="copeland">{{OEIS2C|A033308}}</ref>
|Defined by concatenating representations of successive prime numbers:
0.2 3 5 7 11 13 17 19 23 29 31 37 ...
|১৯৪৬<ref group="OEIS" name="copeland" />
|data-sort-value="6"|[[Irrational number|<math>\mathbb{R} \setminus \mathbb{Q}</math>]]
|-
|[[Mills' constant]]<ref>{{cite book|url=https://books.google.com/books?id=Mll0WZAjdyEC&q=%22Mills%27+constant%22&pg=PT170|title=Stealth Ciphers|author=Laith Saadi|publisher=Trafford Publishing|year=2004|isbn=978-1-4120-2409-9|page=160}}{{Dead link|date=December 2023 |bot=InternetArchiveBot |fix-attempted=yes }}</ref>
|<math>A</math>
|1.30637 78838 63080 69046 <ref group="Mw">{{MathWorld|MillsConstant|Mills Constant}}</ref><ref group="OEIS">{{OEIS2C|A051021}}</ref>
|Smallest positive real number ''A'' such that <math> \lfloor A^{3^{n}} \rfloor</math> is prime for all positive integers ''n''
|১৯৪৭
|data-sort-value="7"|
|-
|[[Gompertz constant]]<ref name=":55">{{cite book|url=https://books.google.com/books?id=DQtpJaEs4NIC&q=Gompertz+constant&pg=PA190|title=Handbook of continued fractions for special functions|author1=Annie Cuyt|author2=Viadis Brevik Petersen|author3=Brigitte Verdonk|author4=William B. Jones|publisher=Springer Science|year=2008|isbn=978-1-4020-6948-2|page=190}}</ref>
|<math>\delta</math>
|0.59634 73623 23194 07434 <ref group="Mw">{{MathWorld|GompertzConstant|Gompertz Constant}}</ref><ref group="OEIS" name=":1">{{OEIS2C|A073003}}</ref>
|<math>\int_0^\infty \!\! \frac{e^{-x}}{1+x} \, dx = \!\! \int_0^1 \!\! \frac{dx}{1-\ln x} = {\tfrac 1 {1+\tfrac 1{1+\tfrac 1{1+\tfrac 2{1+\tfrac 2{1+\tfrac 3{1+3{/\cdots}} }}}}}} </math>
|data-sort-value="1948"|১৯৪৮ চনৰ আগত<ref name=":1" group="OEIS" />
|data-sort-value="7"|
|-
|[[de Bruijn–Newman constant]]
|<math>\Lambda</math>
|data-sort-value="0"|<math>0\le\Lambda\le0.2</math>
|The number Λ where for where <math>H(\lambda,z)=\int^{\infty}_0e^{\lambda u^2}\Phi(u)\cos(zu)du</math> has real zeros if and only if λ ≥ Λ.

where <math>\Phi(u)=\sum_{n=1}^{\infty}(2\pi^2n^4e^{9u}-3\pi n^2e^{5u})e^{-\pi n^2e^{4u}}</math>.
|১৯৫০
|data-sort-value="7"|
|-
|[[Van der Pauw method|Van der Pauw constant]]
|<math>\frac{\pi}{\ln 2}</math>
|4.53236 01418 27193 80962 <ref group="OEIS">{{OEIS2C|A163973}}</ref>
|
|data-sort-value="1958"|১৯৫৮ চনৰ আগত<ref group="OEIS">{{OEIS2C|A163973}}</ref>
|data-sort-value="6"|[[Irrational number|<math>\mathbb{R} \setminus \mathbb{Q}</math>]]
|-
|[[Magic angle]]<ref name=":46">{{cite book|url=https://books.google.com/books?id=WoaxgpHu19gC&q=0.955316&pg=PA150|title=Discrete Geometry|author=Andras Bezdek|publisher=Marcel Dekkcr, Inc.|year=2003|isbn=978-0-8247-0968-6|page=150}}</ref>
|<math>\theta_{\mathrm{m}}</math>
|0.95531 66181 245092 78163 <ref group="OEIS">{{OEIS2C|A195696}}</ref>
|<math> \arctan \sqrt{2} = \arccos \tfrac{1}{\sqrt 3} \approx   \textstyle {54.7356} ^{ \circ } </math>
|data-sort-value="1959"|১৯৫৯ চনৰ আগত<ref>{{Cite journal|last=Lowe|first=I. J.|date=1959-04-01|title=Free Induction Decays of Rotating Solids|url=https://link.aps.org/doi/10.1103/PhysRevLett.2.285|journal=Physical Review Letters|language=en|volume=2|issue=7|pages=285–287|doi=10.1103/PhysRevLett.2.285|bibcode=1959PhRvL...2..285L |issn=0031-9007}}</ref><ref name=":46" />
|data-sort-value="5"|[[Transcendental number|<math>\mathbb{R} \setminus \mathbb{A}</math>]]
|-
|[[Artin's conjecture on primitive roots|Artin's constant]]<ref>{{cite book|url=https://books.google.com/books?id=EiYvlcimEi4C&q=1.9287800&pg=PA66|title=My Numbers, My Friends: Popular Lectures on Number Theory|author=Paulo Ribenboim|publisher=Springer|year=2000|isbn=978-0-387-98911-2|page=66}}</ref>
|<math>C_{\mathrm{Artin}}</math>
|0.37395 58136 19202 28805 <ref group="Mw">{{MathWorld|ArtinsConstant|Artin's Constant}}</ref><ref group="OEIS" name="artin">{{OEIS2C|A005596}}</ref>
|<math>\prod_{p\text{ prime}} \left(1-\frac{1}{p(p-1)}\right)</math>
|data-sort-value="1961"|১৯৬১ চনৰ আগত<ref group="OEIS" name="artin" />
|data-sort-value="7"|
|-
|[[Porter's constant]]<ref>{{cite book|url=https://books.google.com/books?id=QTcCSegK6jQC&q=%22Porter%E2%80%99s+constant%22&pg=PA80|title=Constructive, Experimental, and Nonlinear Analysis|author=Michel A. Théra|publisher=CMS-AMS|year=2002|isbn=978-0-8218-2167-1|page=77}}</ref>
|<math>C</math>
|1.46707 80794 33975 47289 <ref group="Mw">{{MathWorld|PortersConstant|Porter's Constant}}</ref><ref group="OEIS" name="porter">{{OEIS2C|A086237}}</ref>
|<math> \frac{6\ln 2}{\pi ^2} \left(3 \ln 2 + 4 \,\gamma -\frac{24}{\pi ^2} \,\zeta '(2)-2 \right)-\frac{1}{2}</math> 
where ''γ'' is the [[Euler–Mascheroni constant]] and {{math|''ζ'' '(2)}} is the derivative of the [[Riemann zeta function]] evaluated at ''s'' = 2
|১৯৬১<ref group="OEIS" name="porter" />
|data-sort-value="7"|
|-
|[[Lochs' theorem|Lochs constant]]<ref>{{cite book|url=http://www.people.fas.harvard.edu/~sfinch/csolve/kz.pdf|title=Continued Fraction Transformation|author=Steven Finch|publisher=Harvard University|year=2007|page=7|access-date=2015-02-28|archive-url=https://web.archive.org/web/20160419114446/http://www.people.fas.harvard.edu/~sfinch/csolve/kz.pdf|archive-date=2016-04-19|url-status=dead|archivedate=2016-04-19|archiveurl=https://web.archive.org/web/20160419114446/http://www.people.fas.harvard.edu/~sfinch/csolve/kz.pdf}}</ref>
|<math>L</math>
|0.97027 01143 92033 92574 <ref group="Mw">{{MathWorld|LochsConstant|Lochs' Constant}}</ref><ref group="OEIS">{{OEIS2C|A086819}}</ref>
|<math> \frac {6 \ln 2 \ln 10}{ \pi^2} </math>
|১৯৬৪
|data-sort-value="7"|
|-
|[[Prince Rupert's cube#Generalizations|DeVicci's tesseract constant]]
|
|1.00743 47568 84279 37609 <ref group="OEIS" name="devicci">{{OEIS2C|A243309}}</ref>
|The largest cube that can pass through in an 4D hypercube.
Positive root of <math>4x^8{-}28x^6{-}7x^4{+}16x^2{+}16=0</math>
|১৯৬৬<ref group="OEIS" name="devicci" />
|data-sort-value="4"|[[Algebraic number|<math>\mathbb{A}</math>]]
|-
|[[Lieb's square ice constant]]<ref>{{cite book|url=http://www.theoremoftheday.org/MathPhysics/Lieb/TotDLieb.pdf|title=Lieb's Square Ice Theorem|author=Robin Whitty}}</ref>
|
|1.53960 07178 39002 03869 <ref group="Mw">{{MathWorld|LiebsSquareIceConstant|Liebs Square Ice Constant}}</ref><ref group="OEIS">{{OEIS2C|A118273}}</ref>
|<math>\left(\frac{4}{3}\right)^\frac{3}{2}=\frac{8}{3\sqrt3}</math>
|১৯৬৭
|data-sort-value="4"|[[Algebraic number|<math>\mathbb{A}</math>]]
|-
|[[Niven's constant]]<ref>{{cite book|url=https://www.ams.org/journals/proc/1969-022-02/S0002-9939-1969-0241373-5/S0002-9939-1969-0241373-5.pdf|title=Averages of exponents in factoring integers|author=Ivan Niven}}</ref>
|<math>C</math>
|1.70521 11401 05367 76428 <ref group="Mw">{{MathWorld|NivensConstant|Niven's Constant}}</ref><ref group="OEIS">{{OEIS2C|A033150}}</ref>
|<math>1+\sum_{n = 2}^\infty \left(1-\frac{1}{\zeta(n)} \right)</math>
|১৯৬৯
|data-sort-value="7"|
|-
|[[Stephens' constant]]<ref name=":30">{{cite book|url=http://www.people.fas.harvard.edu/~sfinch/csolve/clss.pdf|title=Class Number Theory|author=Steven Finch|publisher=Harvard University|year=2005|page=8|access-date=2014-04-15|archive-url=https://web.archive.org/web/20160419150530/http://www.people.fas.harvard.edu/~sfinch/csolve/clss.pdf|archive-date=2016-04-19|url-status=dead|archivedate=2016-04-19|archiveurl=https://web.archive.org/web/20160419150530/http://www.people.fas.harvard.edu/~sfinch/csolve/clss.pdf}}</ref>
|
|0.57595 99688 92945 43964 <ref group="Mw">{{MathWorld|StephensConstant|Stephen's Constant}}</ref><ref group="OEIS" name="stephens">{{OEIS2C|A065478}}</ref>
|<math> \prod_{p\text{ prime}} \left(1 - \frac{p}{p^3-1}\right) </math>
|১৯৬৯<ref group="OEIS" name="stephens" />
|data-sort-value="7"|
|-
|[[Regular paperfolding sequence]]<ref>{{cite book|url=http://carma.newcastle.edu.au/jon/tools1.pdf|title=Tools for visualizing real numbers.|author1=Francisco J. Aragón Artacho|author2=David H. Baileyy|author3=Jonathan M. Borweinz|author4=Peter B. Borwein|year=2012|page=33|access-date=2023-12-20|archivedate=2017-02-20|archiveurl=https://web.archive.org/web/20170220175429/https://carma.newcastle.edu.au/jon/tools1.pdf}}</ref><ref name=":18">{{cite book|url=http://www.jgiesen.de/Divers/PapierFalten/PapierFalten.pdf|title=Papierfalten|year=1998}}</ref>
|<math>P</math>
|0.85073 61882 01867 26036 {{refn|group=Mw|name=Paper Folding Constant|{{MathWorld|PaperFoldingConstant|Paper Folding Constant}}}}<ref group="OEIS" name="paperfolding">{{OEIS2C|A143347}}</ref>
|<math> \sum_{n=0}^{\infty} \frac {8^{2^n}}{2^{2^{n+2}}-1} = 
\sum_{n=0}^{\infty} \cfrac {\tfrac {1}{2^{2^n}}} {1-\tfrac{1}{2^{2^{n+2}}}} </math>
|১৯৭০<ref group="OEIS" name="paperfolding" />
|data-sort-value="5"|[[Transcendental number|<math>\mathbb{R} \setminus \mathbb{A}</math>]]
|-
|[[Reciprocal Fibonacci constant]]<ref name=":57">{{cite book|url=http://www.numericana.com/answer/constants.htm#prevost|title=Numerical Constants|author=Gérard P. Michon|publisher=Numericana|year=2005}}</ref>
|<math>\psi</math>
|3.35988 56662 43177 55317 <ref group="Mw">{{MathWorld|ReciprocalFibonacciConstant|Reciprocal Fibonacci Constant}}</ref><ref group="OEIS" name=":2">{{OEIS2C|A079586}}</ref>
|<math>\sum_{n=1}^{\infty} \frac{1}{F_n} = \frac{1}{1} +  \frac{1}{1} + \frac{1}{2} + \frac{1}{3} + \frac{1}{5} + \frac{1}{8} + \frac{1}{13} + \cdots</math>
where ''F<sub>n</sub>'' is the ''n''<sup>th</sup> [[Fibonacci number]]
|১৯৭৪<ref name=":2" group="OEIS" />
|data-sort-value="6"|[[Irrational number|<math>\mathbb{R} \setminus \mathbb{Q}</math>]]
|-
|[[Chvátal–Sankoff constant]] for the binary alphabet
|<math>\gamma_2</math>
|data-sort-value=0.78807 10000|<math>0.788071 \le \gamma_2 \le 0.826280</math>
|<math>\lim_{n\to\infty}\frac{\operatorname{E}[\lambda_{n,2}]}{n}</math>
where {{math|E[''λ''<sub>''n'',2</sub>]}} is the [[Expected value|expected]] [[longest common subsequence]] of two random length-''n'' binary strings
|১৯৭৫
|data-sort-value="7"|
|-
|[[Feigenbaum constant]] δ <ref>{{cite book|url=https://books.google.com/books?id=i633SeDqq-oC&q=669201609&pg=PA500|title=Chaos: An Introduction to Dynamical Systems|author=Kathleen T. Alligood|publisher=Springer|year=1996|isbn=978-0-387-94677-1}}</ref>
|<math>\delta</math>
|4.66920 16091 02990 67185 {{refn|group=Mw|name=Feigenbaum Constant|{{MathWorld|FeigenbaumConstant|Feigenbaum Constant}}}}<ref group="OEIS">{{OEIS2C|A006890}}</ref>
|<math> \lim_{n \to \infty}\frac {x_{n+1}-x_n}{x_{n+2}-x_{n+1}} </math>
where the sequence ''x<sub>n</sub>'' is given by <math>x_{n+1} = ax_n(1-x_n)</math>
|১৯৭৫
|data-sort-value="7"|
|-
|[[Chaitin's constant]]s <ref>{{cite book|url=https://books.google.com/books?id=HrOxRdtYYaMC&q=%22Chaitin+constant%22&pg=PA63|title=The Universal Book of Mathematics: From Abracadabra to Zeno's Paradoxes|author=David Darling|publisher=Wiley & Sons inc.|year=2004|isbn=978-0-471-27047-8|page=63}}</ref><nowiki/><nowiki/><nowiki/>
|<math>\Omega</math>
|data-sort-value=0.00787 49969 97812 3844|In general they are [[uncomputable number]]s.<br>But one such number is 0.00787 49969 97812 3844.<br><ref group="Mw">{{MathWorld|ChaitinsConstant|Chaitin's Constant}}</ref><ref group="OEIS">{{OEIS2C|A100264}}</ref>
|<math>\sum_{p \in P} 2^{-|p|}</math>

*{{Mvar|p}}: Halted program
*{{math|{{Abs|{{mvar|p}}}}}}: Size in bits of program {{Mvar|p}}
*{{Mvar|P}}: Domain of all programs that stop.
{{See also|Halting problem}}
|১৯৭৫
|data-sort-value="5"|[[Transcendental number|<math>\mathbb{R} \setminus \mathbb{A}</math>]]
|-
|[[Robbins constant]]<ref>{{cite book|url=https://archive.org/details/mathematicalcons0000finc|url-access=registration|quote=Schmutz.|title=Mathematical Constants|author=Steven R. Finch|publisher=Cambridge University Press|year=2003|isbn=978-3-540-67695-9|page=[https://archive.org/details/mathematicalcons0000finc/page/479 479]}}</ref>
|<math>\Delta(3)</math>
|0.66170 71822 67176 23515 <ref group="Mw">{{MathWorld|RobbinsConstant|Robbins Constant}}</ref><ref group="OEIS" name="robbins">{{OEIS2C|A073012}}</ref>
|<math> \frac{4 \! + \! 17\sqrt2 \! -6 \sqrt3 \! -7\pi}{105} \! + \! \frac{\ln(1 \! + \! \sqrt2)}{5} \! + \! \frac{2\ln(2 \! + \! \sqrt3)}{5} </math>
|১৯৭৭<ref group="OEIS" name="robbins" />
|data-sort-value="5"|[[Transcendental number|<math>\mathbb{R} \setminus \mathbb{A}</math>]]
|-
|[[Weierstrass]] constant <ref>{{cite book|url=https://books.google.com/books?id=aFDWuZZslUUC&q=%22Weierstrass+Constant%22&pg=PA3184|title=CRC Concise Encyclopedia of Mathematics, Second Edition|author=Eric W. Weisstein|publisher=CRC Press|year=2003|isbn=978-1-58488-347-0|page=151}}</ref>
|
|0.47494 93799 87920 65033 <ref group="Mw">{{MathWorld|WeierstrassConstant|Weierstrass Constant}}</ref><ref group="OEIS">{{OEIS2C|A094692}}</ref>
|<math>\frac{2^{5/4} \sqrt{\pi} \, e^{\pi/8}}{\Gamma(\frac{1}{4})^{2}}</math>
|data-sort-value="1978"|১৯৭৮ চনৰ আগত<ref>Waldschmidt, M. "Nombres transcendants et fonctions sigma de Weierstrass." ''C. R. Math. Rep. Acad. Sci. Canada'' 1, 111-114, 1978/79.</ref>
|data-sort-value="5"|[[Transcendental number|<math>\mathbb{R} \setminus \mathbb{A}</math>]]
|-
|[[Fransén–Robinson constant]]<ref>{{cite book|url=http://www.advancesindifferenceequations.com/content/pdf/1687-1847-2012-22.pdf|title=Orthogonal and diagonal dimension fluxes of hyperspherical function|author1=Dusko Letic|author2=Nenad Cakic|author3=Branko Davidovic|author4=Ivana Berkovic|publisher=Springer}}</ref>
|<math>F</math>
|2.80777 02420 28519 36522 <ref group="Mw">{{MathWorld|Fransen-RobinsonConstant|Fransen-Robinson Constant}}</ref><ref group="OEIS">{{OEIS2C|A058655}}</ref>
|<math>\int_{0}^\infty \frac{dx}{\Gamma(x)} = e + \int_0^\infty \frac{e^{-x}}{\pi^2 + \ln^2 x}\, dx</math>
|১৯৭৮
|data-sort-value="7"|
|-
|[[Feigenbaum constant]] α<ref>{{cite book|url=https://books.google.com/books?id=DhCbYXzLFLsC&q=2.502907875095892822283902873218&pg=PA7|title=Chaos in Electric Drive Systems: Analysis, Control and Application|author1=K. T. Chau|author2=Zheng Wang|publisher=John Wiley & Son|year=201|isbn=978-0-470-82633-1|page=7}}</ref>
|<math>\alpha</math>
|2.50290 78750 95892 82228 {{refn|group=Mw|name=Feigenbaum Constant}}<ref group="OEIS">{{OEIS2C|A006891}}</ref>
|Ratio between the width of a tine and the width of one of its two subtines in a [[bifurcation diagram]]
|১৯৭৯
| data-sort-value="7" |
|-
|[[:es:Constante Du Bois Reymond|Second du Bois-Reymond constant]]<ref name=":28">{{cite book|url=https://archive.org/details/mathematicalcons0000finc|url-access=registration|title=Mathematical Constants|author=Steven R. Finch|publisher=Cambridge University Press|year=2003|isbn=978-3-540-67695-9|page=[https://archive.org/details/mathematicalcons0000finc/page/238 238]}}</ref>
|<math>C_2</math>
|0.19452 80494 65325 11361 <ref group="Mw">{{MathWorld|duBois-ReymondConstants|du Bois-Reymond Constants}}</ref><ref group="OEIS" name="debois">{{OEIS2C|A062546}}</ref>
|<math>\frac{e^2-7}{2} = \int_0^\infty \left|{\frac{d}{dt}\left(\frac{\sin t}{t}\right)^2}\right|\,dt-1 </math>
|১৯৮৩<ref group="OEIS" name="debois" />
| data-sort-value="5" |[[Transcendental number|<math>\mathbb{R} \setminus \mathbb{A}</math>]]
|-
|[[Erdős–Tenenbaum–Ford constant]]
|<math>\delta</math>
|0.08607 13320 55934 20688 <ref group="OEIS">{{OEIS2C|A074738}}</ref>
|<math>1-\frac{1+\log\log2}{\log2}</math>
|১৯৮৪
| data-sort-value="7" |
|-
|[[Conway's constant]]<ref>{{cite book|url=https://books.google.com/books?id=gmCSpNhXMooC&q=Conway%20Constant&pg=PA45|title=Mathematics Frontiers|author=Facts On File, Incorporated|year=1997|isbn=978-0-8160-5427-5|page=46|publisher=Infobase }}</ref>
|<math>\lambda</math>
|1.30357 72690 34296 39125 <ref group="Mw">{{MathWorld|ConwaysConstant|Conway's Constant}}</ref><ref group="OEIS">{{OEIS2C|A014715}}</ref>
|Real root of the polynomial:
<math> \begin{smallmatrix}
x^{71}-x^{69}-2x^{68}-x^{67}+2x^{66}+2x^{65}+x^{64}-x^{63}-x^{62}-x^{61}-x^{60}\\
-x^{59}+2x^{58}+5x^{57}+3x^{56}-2x^{55}-10x^{54}-3x^{53}-2x^{52}+6x^{51}+6x^{50}\\
+x^{49}+9x^{48}-3x^{47}-7x^{46}-8x^{45}-8x^{44}+10x^{43}+6x^{42}+8x^{41}-5x^{40}\\
-12x^{39}+7x^{38}-7x^{37}+7x^{36}+x^{35}-3x^{34}+10x^{33}+x^{32}-6x^{31}-2x^{30}\\
-10x^{29}-3x^{28}+2x^{27}+9x^{26}-3x^{25}+14x^{24}-8x^{23}-7x^{21}+9x^{20}\\
+3x^{19}\!-4x^{18}\!-10x^{17}\!-7x^{16}\!+12x^{15}\!+7x^{14}\!+2x^{13}\!-12x^{12}\!-4x^{11}\!-2x^{10}\\
+5x^{9}+x^{7}-7x^{6}+7x^{5}-4x^{4}+12x^{3}-6x^{2}+3x-6\ =\ 0 \quad\quad\quad
\end{smallmatrix}</math>
|১৯৮৭
| data-sort-value="4" |[[Algebraic number|<math>\mathbb{A}</math>]]
|-
|[[Hafner–Sarnak–McCurley constant]]<ref>{{cite book|url=https://books.google.com/books?id=Pl5I2ZSI6uAC&q=%22Hafner-Sarnak-McCurley+constant%22&pg=PA110|title=Mathematical Constants|author=Steven R. Finch|year=2003|isbn=978-3-540-67695-9|page=110|publisher=Cambridge University Press }}</ref>
|<math>\sigma</math>
|0.35323 63718 54995 98454 <ref group="Mw">{{MathWorld|Hafner-Sarnak-McCurleyConstant|Hafner-Sarnak-McCurley Constant}}</ref><ref group="OEIS" name="hafner">{{OEIS2C|A085849}}</ref>
|<math> \prod_{p\text{ prime}}{\left(1- \left(1-\prod_{n\ge1}\left(1-\frac{1}{p^n}\right)\right)^2 \right)} \!
</math>
|১৯৯১<ref group="OEIS" name="hafner" />
| data-sort-value="7" |
|-
|[[Backhouse's constant]]<ref>{{cite book|url=https://books.google.com/books?id=aFDWuZZslUUC&q=Backhouse+constant&pg=PA151|title=CRC Concise Encyclopedia of Mathematics, Second Edition|author=Eric W. Weisstein|publisher=CRC Press|year=2003|isbn=978-1-58488-347-0|page=151}}</ref>
|<math>B</math>
|1.45607 49485 82689 67139 <ref group="Mw">{{MathWorld|BackhousesConstant|Backhouse's Constant}}</ref><ref group="OEIS">{{OEIS2C|A072508}}</ref>
|<math>\lim_{k \to \infty}\left | \frac{q_{k+1}}{q_k} \right \vert  \quad \scriptstyle \text {where:} \displaystyle \;\; Q(x)=\frac{1}{P(x)}= \! \sum_{k=1}^\infty q_k x^k  </math>
<math> P(x) =  1+\sum_{k=1}^\infty {p_k x^k} = 1+2x+3x^2+5x^3+\cdots</math>where ''p<sub>k</sub>'' is the ''k''<sup>th</sup> prime number
|১৯৯৫
| data-sort-value="7" |
|-
|[[Random Fibonacci sequence|Viswanath constant]]<ref>{{cite book|url=https://www.ams.org/journals/mcom/2000-69-231/S0025-5718-99-01145-X/S0025-5718-99-01145-X.pdf|title=RANDOM FIBONACCI SEQUENCES AND THE NUMBER 1.13198824...|author=DIVAKAR VISWANATH|publisher=MATHEMATICS OF COMPUTATION|year=1999}}</ref>
|
|1.13198 82487 943 <ref group="Mw">{{MathWorld|RandomFibonacciSequence|Random Fibonacci Sequence}}</ref><ref group="OEIS">{{OEIS2C|A078416}}</ref>
|<math>\lim_{n \to \infty}|f_n|^\frac{1}{n}</math> &nbsp;&nbsp;&nbsp;&nbsp; where ''f''<sub>''n''</sub> = ''f''<sub>''n''−1</sub> ± ''f''<sub>''n''−2</sub>, where the signs + or − are chosen [[Bernoulli distribution|at random]] with equal probability 1/2
|১৯৯৭
| data-sort-value="7" |
|-
|[[Komornik–Loreti constant]]<ref>{{cite book|url=http://dmg.tuwien.ac.at/drmota/DiplomarbeitLanz.pdf|title=k-Automatic Reals|author=Christoph Lanz|publisher=Technischen Universität Wien}}</ref>
|<math>q</math>
|1.78723 16501 82965 93301 <ref group="Mw">{{MathWorld|Komornik-LoretiConstant|Komornik-Loreti Constant}}</ref><ref group="OEIS">{{OEIS2C|A055060}}</ref>
|Real number <math>q</math> such that <math>1 = \sum_{k=1}^\infty \frac{t_k}{q^k}</math>, or <math>\prod_{n=0}^\infty\left (1-\frac{1}{q^{2^n}}\right )+\frac{q-2}{q-1}=0</math>
where ''t<sub>k</sub>'' is the ''k''<sup>th</sup> term of the [[Thue–Morse sequence]]
|১৯৯৮
| data-sort-value="5" |[[Transcendental number|<math>\mathbb{R} \setminus \mathbb{A}</math>]]
|-
|[[Embree–Trefethen constant]]
|<math>\beta^{\star}</math>
|0.70258
|
|১৯৯৯
| data-sort-value="7" |
|-
|[[Heath-Brown–Moroz constant]]<ref name=":25">{{cite book|url=https://books.google.com/books?id=NuDimaRIVVsC&q=%22Heath-Brown%20and%20Moroz%22&pg=PA29|title=Analytic Number Theory|author=J. B. Friedlander|author2=A. Perelli|author3=C. Viola|author4=D.R. Heath-Brown|author5=H.Iwaniec|author6=J. Kaczorowski|publisher=Springer|year=2002|isbn=978-3-540-36363-7|page=29}}</ref>
|<math>C</math>
|0.00131 76411 54853 17810 <ref group="Mw">{{MathWorld|Heath-Brown-MorozConstant|Heath-Brown-Moroz Constant}}</ref><ref group="OEIS" name="heath">{{OEIS2C|A118228}}</ref>
|<math>\prod_{p\text{ prime}} \left(1-\frac{1}{p}\right)^7\left(1+\frac{7p+1}{p^2}\right)</math>
|১৯৯৯<ref group="OEIS" name="heath" />
| data-sort-value="7" |
|-
|[[MRB constant|এমআৰবি ধ্ৰুৱক]]<ref>{{cite book|url=http://www.perfscipress.com/papers/UniversalTOC25.pdf|title=Unified algorithms for polylogarithm, L-series, and zeta variants|author=Richard E. Crandall|publisher=perfscipress.com|year=2012|archive-url=https://web.archive.org/web/20130430193005/http://www.perfscipress.com/papers/UniversalTOC25.pdf|archive-date=2013-04-30|url-status=bot: unknown|access-date=2023-12-20|archivedate=2013-04-30|archiveurl=https://web.archive.org/web/20130430193005/http://www.perfscipress.com/papers/UniversalTOC25.pdf}}</ref><ref>{{cite arXiv|eprint=0912.3844|class=math.CA|author=RICHARD J. MATHAR|title=NUMERICAL EVALUATION OF THE OSCILLATORY INTEGRAL OVER exp(I pi x)x^1/x BETWEEN 1 AND INFINITY|year=2010}}</ref><ref>{{cite book|url=http://marvinrayburns.com/Original_MRB_Post.html|title=Root constant|author=M.R.Burns|publisher=Marvin Ray Burns|year=1999}}</ref>
|<math>S</math>
|0.18785 96424 62067 12024 <ref group="Mw">{{MathWorld|MRBConstant|MRB Constant}}</ref><ref group="Ow">[[oeis:wiki/MRB constant|MRB constant]]</ref><ref group="OEIS">{{OEIS2C|A037077}}</ref>
|<math> \sum_{n=1}^{\infty} (-1)^n (n^{1/n}-1) =  - \sqrt[1]{1} + \sqrt[2]{2} - \sqrt[3]{3} + \cdots</math>
|১৯৯৯
| data-sort-value="7" |
|-
|মৌলিক ধ্ৰুৱক<ref>{{Cite book |last=Hardy |first=G. H. |url=https://www.worldcat.org/oclc/214305907 |title=An introduction to the theory of numbers |date=2008 |publisher=Oxford University Press |others=E. M. Wright, D. R. Heath-Brown, Joseph H. Silverman |isbn=978-0-19-921985-8 |edition=6th |location=Oxford |oclc=214305907}}</ref>
|<math>\rho</math>
|০.৪১৪৬৮ ২৫০৯৮ ৫১১১১ ৬৬০২৪<ref group="OEIS" name="prime">{{OEIS2C|A051006}}</ref>
|<math>\sum_{p\text{ prime}} \frac{1}{2^p}= \frac{1}{4} +  \frac{1}{8} + \frac{1}{32} + \cdots</math>
|১৯৯৯<ref group="OEIS" name="prime" />
| data-sort-value="6" |[[Irrational number|<math>\mathbb{R} \setminus \mathbb{Q}</math>]]
|-
|[[Somos' quadratic recurrence constant]]<ref name=":45">{{cite journal|author1=Jesus Guillera|author2=Jonathan Sondow|year=2008|title=Double integrals and infinite products for some classical constants via analytic continuations of Lerch's transcendent|journal=The Ramanujan Journal|volume=16|issue=3|pages=247–270|arxiv=math/0506319|doi=10.1007/s11139-007-9102-0|s2cid=119131640}}</ref>
|<math>\sigma</math>
|1.66168 79496 33594 12129 <ref name=":2" group="Mw">{{MathWorld|SomossQuadraticRecurrenceConstant|Somos's Quadratic Recurrence Constant}}</ref><ref group="OEIS">{{OEIS2C|A112302}}</ref>
|<math>\prod_{n=1}^\infty n^{{1/2}^n} = \sqrt {1 \sqrt {2 \sqrt{3 \cdots}}} = 1^{1/2} \; 2^{1/4} \; 3^{1/8} \cdots </math>
|১৯৯৯<ref name=":2" group="Mw" />
| data-sort-value="7" |
|-
|[[Foias constant]]<ref>{{cite book|url=http://ssmr.ro/gazeta/gma/2007/gma-1-2007.pdf|title=Gazeta Matemetica Seria a revista de cultur Matemetica Anul XXV(CIV)Nr. 1, Constante de tip Euler generalízate|author=Andrei Vernescu|year=2007|page=14}}</ref>
|<math>\alpha</math>
|1.18745 23511 26501 05459 {{refn|group=Mw|name=Foias|{{MathWorld|FoiasConstant|Foias Constant}}}}<ref group="OEIS">{{OEIS2C|A085848}}</ref>
|<math> x_{n+1} = \left( 1 + \frac{1}{x_n} \right)^n\text{ for }n=1,2,3,\ldots </math>
Foias constant is the unique real number such that if ''x''<sub>1</sub>&nbsp;=&nbsp;''&alpha;'' then the sequence diverges to infinity
|২০০০
| data-sort-value="7" |
|-
|[[Logarithmic capacity]] of the unit disk<ref name=":59">{{cite book|url=http://www.people.fas.harvard.edu/~sfinch/csolve/capa.pdf|title=Electrical Capacitance|author=Steven Finch|publisher=Harvard.edu|year=2014|page=1|access-date=2015-10-12|archive-url=https://web.archive.org/web/20160419150944/http://www.people.fas.harvard.edu/~sfinch/csolve/capa.pdf|archive-date=2016-04-19|url-status=dead|archivedate=2016-04-19|archiveurl=https://web.archive.org/web/20160419150944/http://www.people.fas.harvard.edu/~sfinch/csolve/capa.pdf}}</ref><ref>{{cite book|url=http://www.heldermann-verlag.de/cmf/cmf10/cmf10029.pdf|title=Computation of Logarithmic Capacity|author=Thomas Ransford|publisher=Université Laval, Quebec (QC), Canada|page=557}}{{Dead link|date=March 2020 |bot=InternetArchiveBot |fix-attempted=yes }}</ref>
|
|০.৫৯০১৭ ০২৯৯৫ ০৮০৪৮ ১১৩০২<ref group="Mw">{{MathWorld|LogarithmicCapacity|Logarithmic Capacity}}</ref><ref group="OEIS" name="log capacity">{{OEIS2C|A249205}}</ref>
|<math>\frac{\Gamma(\tfrac14)^2}{4 \pi^{3/2}}</math>
| data-sort-value="2003" |২০০৩ চনৰ আগত<ref group="OEIS" name="log capacity" />
| data-sort-value="5" |[[Transcendental number|<math>\mathbb{R} \setminus \mathbb{A}</math>]]
|-
|[[Euler product#Notable constants|টানিগুছি ধ্ৰুৱক]]<ref name=":30" />
|
|০.৬৭৮২৩ ৪৪৯১৯ ১৭৩৯১ ৯৭৮০৩<ref group="Mw">{{MathWorld|TaniguchisConstant|Taniguchis Constant}}</ref><ref group="OEIS">{{OEIS2C|A175639}}</ref>
|<math> \prod_{p\text{ prime}} \left(1 - \frac{3}{p^3}+\frac{2}{p^4}+\frac{1}{p^5}-\frac{1}{p^6}\right) </math>
| data-sort-value="2005" |২০০৫ চনৰ আগত<ref name=":30" />
| data-sort-value="7" |
|}

==ধ্ৰুৱকৰ অনুক্ৰম==
<!-- Please use these for data-sort-values of the Set column
  1 = Natural number
  2 = Integer
  3 = Rational number
  4 = Algebraic
  5 = Transcendental
  6 = Irrational number (algebraic/transcendental is unsure)
  7 = Real number (irrationality is unsure/ variable)
  8 = Complex number
-->

{| class="wikitable sortable"
|-
! নাম
! চিহ্ন
! সূত্ৰ 
! বৰ্ষ
! সংহতি 
|-
|[[Harmonic number|হৰাত্মক সংখ্যা]]
|<math>H_n</math>
|<math>\sum^n_{k=1}\frac{1}{k}</math>
| data-sort-value="-400" | প্ৰাচীন 
|data-sort-value="3" |[[Rational number|<math>\mathbb{Q}</math>]]
|-
|[[Gregory coefficients|গ্ৰেগ'ৰি গুণাংক]]
|<math>G_n</math>
|<math>\frac 1 {n!} \int_0^1 x(x-1)(x-2)\cdots(x-n+1)\, dx = \int_0^1 \binom x n \, dx</math>
| ১৬৭০
| data-sort-value="3" |[[Rational number|<math>\mathbb{Q}</math>]]
|-
|[[Bernoulli number|বাৰ্ণ'লি সংখ্যা]]
|<math>B^\pm_n</math>
|<math>\frac{t}{2} \left( \operatorname{coth} \frac{t}{2} \pm 1 \right) = \sum_{m=0}^\infty \frac{B^{\pm{}}_m t^m}{m!}</math>
| ১৬৮৯
| data-sort-value="3" |[[Rational number|<math>\mathbb{Q}</math>]]
|-
|[[Hermite constant|হাৰমাইট ধ্ৰুৱক]]<ref group="Mw">{{cite web | url=https://mathworld.wolfram.com/HermiteConstants.html | title=Hermite Constants }}</ref>
|<math>\gamma_{n}</math>
| For a lattice L in Euclidean space '''R'''<sup>''n''</sup> with unit covolume, i.e. vol('''R'''<sup>''n''</sup>/''L'') = 1, let λ{{Sub|1}}(''L'') denote the least length of a nonzero element of L. Then √γ{{Subscript|n}}n is the maximum of λ{{Sub|1}}(L) over all such lattices L. 
| data-sort-value="1822" | ১৮২২ – ১৯০১
| data-sort-value="7" |[[Real number|<math>\mathbb{R}</math>]]
|-
|[[Hafner–Sarnak–McCurley constant|হফনাৰ–ছৰনাক–মেককাৰ্লি ধ্ৰুৱক]]<ref>{{cite book|url=https://books.google.com/books?id=007-3SM9QmYC&q=0.607927101854026628663276779&pg=PA270|title=Process Algebra and Probabilistic Methods.|author1=Holger Hermanns|author2=Roberto Segala|publisher=Springer-Verlag|year=2000|isbn=978-3-540-67695-9|page=270}}</ref>
|<math>D(n)</math>
|<math> D(n)= \prod^\infty_{k=1}\left\{1-\left[1-\prod^n_{j=1}(1-p_k^{-j}) \right]^2 \right\} </math>
| data-sort-value="1883" |১৮৮৩<ref name=":3" group="Mw">{{MathWorld|RelativelyPrime|Relatively Prime}}</ref>
| data-sort-value="7" |[[Real number|<math>\mathbb{R}</math>]]
|-
|[[Stieltjes constants|ষ্টীলজেছ ধ্ৰুৱক]]
|<math>\gamma_n</math>
|<math>{\frac {(-1)^{n}n!}{2\pi }}\int _{0}^{{2\pi }}e^{{-nix}}\zeta \left(e^{{ix}}+1\right)dx.</math>
| data-sort-value="1894"|১৮৯৪ চনৰ আগত
| data-sort-value="7" |[[Real number|<math>\mathbb{R}</math>]]
|-
|[[Favard constant|ফাভাৰ্ড ধ্ৰুৱক]]<ref name="books.google.com"/><ref group="Mw">{{cite web | url=https://mathworld.wolfram.com/FavardConstants.html | title=Favard Constants }}</ref>
|<math>K_{r}</math>
|<math> \frac{4}{\pi}\sum_{n = 0}^\infty \left(\frac{(-1)^n}{2n+1} \right)^{\!r+1}=\frac{4}{\pi}\left( \frac{(-1)^{0(r+1)}}{1^r}+\frac{(-1)^{1(r+1)}}{3^r}+\frac{(-1)^{2(r+1)}}{5^r}+\frac{(-1)^{3(r+1)}}{7^r}+\cdots\right)  </math>
| data-sort-value="1902" | ১৯০২ – ১৯৬৫
| data-sort-value="7" |[[Real number|<math>\mathbb{R}</math>]]
|-
|[[Brun's constant|সাধাৰণীকৃত ব্ৰুণৰ ধ্ৰুৱক]]<ref name=":53"/>
|<math>B_{n}</math>
|<math> {\sum\limits_p(\frac1{p}+\frac1{p+n})}</math> where the sum ranges over all primes ''p'' such that ''p'' + n is also a prime
| data-sort-value="1919" |১৯১৯<ref name=":0" group="OEIS">{{OEIS2C|A065421}}</ref>
| data-sort-value="7" |[[Real number|<math>\mathbb{R}</math>]]
|-
|[[Champernowne constant]]s<ref name="Computation, Physics and Beyond"/>
|<math>C_{b}</math>
|Defined by concatenating representations of successive integers in base b.
<math>C_b=\sum^\infty_{n=1}\frac{n}{b^{\left(\sum^n_{k=1}\lceil\log_b(k+1)\rceil\right)}}</math>
|১৯৩৩
| data-sort-value="5" |[[Transcendental number|<math>\mathbb{R} \setminus \mathbb{A}</math>]]
|-
|[[Lagrange number|লাগ্ৰাঞ্জ সংখ্যা]]
|<math>L(n)</math>
|<math>\sqrt{9-\frac{4}{{m_n}^2}}</math> where <math>m_n</math> is the nth smallest number such that <math>m^2+x^2+y^2=3mxy\,</math> has positive (x,y).
| data-sort-value="1957"|১৯৫৭ চনৰ আগত
| data-sort-value="4" |[[Algebraic number|<math>\mathbb{A}</math>]]
|-
|[[Feller's coin-tossing constants]]
|<math>\alpha_k,\beta_k</math>
|<math>\alpha_k</math> is the smallest positive real root of <math>x^{k+1}=2^{k+1}(x-1),\beta_k=\frac{2-\alpha_k}{k+1-k\alpha_k}</math>
| ১৯৬৮
| data-sort-value="7" |[[Algebraic number|<math>\mathbb{A}</math>]]
|-
|[[Stoneham number]]
|<math>\alpha_{b,c}</math>
|<math>\sum_{n=c^k>1} \frac{1}{b^nn} = \sum_{k=1}^\infty \frac{1}{b^{c^k}c^k}</math> where b,c are coprime integers.
| ১৯৭৩
| data-sort-value="7" |[[Irrational number|<math>\mathbb{R} \setminus \mathbb{Q}</math>]]
|-
|[[Beraha constants]]
|<math>B(n)</math>
|<math>2+2\cos\left(\frac{2\pi}{n}\right)</math>
| ১৯৭৪
| data-sort-value="7" |[[Algebraic number|<math>\mathbb{A}</math>]]
|-
|[[Chvátal–Sankoff constants]]
|<math>\gamma_k</math>
|<math>\lim_{n\to\infty}\frac{E[\lambda_{n,k}]}{n}</math>
| ১৯৭৫
| data-sort-value="7" |[[Real number|<math>\mathbb{R}</math>]]
|-
|[[Hyperharmonic number]]
|<math>H^{(r)}_n</math>
|<math>\sum^n_{k=1}H^{(r-1)}_k</math> and <math>H^{(0)}_n=\frac{1}{n}</math>
| ১৯৯৫
|data-sort-value="3" |[[Rational number|<math>\mathbb{Q}</math>]]
|-
|[[Gregory number|গ্ৰেগ'ৰি সংখ্যা]]
|<math>G_x</math>
|<math>\sum _{n=0}^{\infty }(-1)^{n}{\frac {1}{(2n+1)x^{2n+1}}}</math> for rational x greater than one.
| data-sort-value="1996"|১৯৯৬ চনৰ আগত
| data-sort-value="7" |[[Real number|<math>\mathbb{R}</math>]]
|-
|[[Metallic mean]]
|
|<math>\frac{n+\sqrt{n^2+4}}{2}</math>
|data-sort-value="1998" | ১৯৯৮ চনৰ আগত
|data-sort-value="4" |[[Algebraic number|<math>\mathbb{A}</math>]]
|}

==টোকা==
{{reflist|group=nb}}
{{Reflist|group=lower-greek}}

==তথ্যসূত্ৰ==
<div class="reflist4" style="height: 200px; overflow: auto; padding: 2px noprint" >
{{reflist|colwidth=30em}}

=== MathWorld Wolfram.com ===
{{reflist|group=Mw|2}}

=== OEIS.org ===
{{reflist|group=OEIS|2}}

=== OEIS Wiki ===
{{reflist|group=Ow|2}}

==গ্ৰন্থপঞ্জী==
{{refbegin|30em}}
* {{cite book|last1=Arndt|first1=Jörg|last2=Haenel|first2=Christoph|title=Pi Unleashed|publisher=Springer-Verlag|year=2006|isbn=978-3-540-66572-4 <!--isbn only volume 1-->|url=https://books.google.com/books?id=QwwcmweJCDQC|access-date=2013-06-05}} English translation by Catriona and David Lischka.
* {{Citation|last=Jensen|first=Johan Ludwig William Valdemar|title=Note numéro 245. Deuxième réponse. Remarques relatives aux réponses du MM. Franel et Kluyver|journal=L'Intermédiaire des Mathématiciens|volume=II|pages=346–347|year=1895}}
* {{cite book|title=Handbook of Continued Fractions for Special Functions|author1-first=Annie A.M.|author1-last=Cuyt|author1-link=Annie Cuyt|author2-first=Vigdis|author2-last=Petersen|author3-first=Brigitte|author3-last=Verdonk|author4-first=Haakon|author4-last=Waadeland|author5-first=William B.|author5-last=Jones|publisher=[[Springer Science + Business Media]]|year=2008|isbn=9781402069499|chapter=Mathematical constants |location=Dordrecht, Netherlands}}
* {{cite book|title=Neverending Fractions: An Introduction to Continued Fractions|volume=23|series=[[Australian Mathematical Society]] Lecture Series|issn=0950-2815|author1-first=Jonathan|author1-last=Borwein|author2-first=Alf|author2-last=van der Poorten|author3-first=Jeffrey|author3-last=Shallit|author4-first=Wadim|author4-last=Zudilin|location=Cambridge, United Kingdom|publisher=[[Cambridge University Press]]|year=2014|isbn=9780521186490}}
{{refend}}

[[শ্ৰেণী:তালিকাসমূহ]]
[[শ্ৰেণী:গণিত]]