Editing E (mathematical constant) (section)

=== Known digits ===
The number of known digits of {{mvar|e}} has increased substantially since the introduction of the computer, due both to increasing performance of computers and to algorithmic improvements.<ref>Sebah, P. and Gourdon, X.; [http://numbers.computation.free.fr/Constants/E/e.html The constant {{mvar|e}} and its computation]</ref><ref>Gourdon, X.; [http://numbers.computation.free.fr/Constants/PiProgram/computations.html Reported large computations with PiFast]</ref>

{| class="wikitable" style="margin: 1em auto 1em auto"
|+ Number of known decimal digits of {{mvar|e}}
! Date || Decimal digits || Computation performed by
|-
| 1690 ||align=right| 1 || [[Jacob Bernoulli]]<ref name="Bernoulli, 1690" />
|-
| 1714 ||align=right| 13 || [[Roger Cotes]]<ref>Roger Cotes (1714) "Logometria," ''Philosophical Transactions of the Royal Society of London'', '''29''' (338) : 5–45; [https://archive.today/20140410203227/http://babel.hathitrust.org/cgi/pt?id=ucm.5324351035;view=2up;seq=16 see especially the bottom of page 10.]  From page 10: ''"Porro eadem ratio est inter 2,718281828459 &c et 1, … "'' (Furthermore, by the same means, the ratio is between 2.718281828459… and 1, … )</ref>
|-
| 1748 ||align=right| 23 || [[Leonhard Euler]]<ref>Leonhard Euler, ''Introductio in Analysin Infinitorum'' (Lausanne, Switzerland: Marc Michel Bousquet & Co., 1748), volume 1, [https://archive.org/details/bub_gb_jQ1bAAAAQAAJ/page/n115 page 90.]</ref>
|-
| 1853 ||align=right| 137 || [[William Shanks]]<ref>William Shanks, ''Contributions to Mathematics'', ... (London, England: G. Bell, 1853), [https://books.google.com/books?id=d-9ZAAAAcAAJ&pg=PA89 page 89.]</ref>
|-
| 1871 ||align=right| 205 || William Shanks<ref>William Shanks (1871) [https://books.google.com/books?id=sclTAAAAcAAJ&pg=PA27 "On the numerical values of {{mvar|e}}, {{math|log<sub>''e''</sub> 2}}, {{math|log<sub>''e''</sub> 3}}, {{math|log<sub>''e''</sub> 5}}, and {{math|log<sub>''e''</sub> 10}}, also on the numerical value of {{mvar|M}} the modulus of the common system of logarithms, all to 205 decimals,"] ''Proceedings of the Royal Society of London'', '''20''' : 27–29.</ref>
|-
| 1884 ||align=right| 346 || J. Marcus Boorman<ref>J. Marcus Boorman (October 1884) [https://books.google.com/books?id=mG8yAQAAMAAJ&pg=PA204 "Computation of the Naperian base,"] ''Mathematical Magazine'', '''1''' (12) : 204–205.</ref>
|-
| 1949 ||align=right| 2,010 || [[John von Neumann]] (on the [[ENIAC]])
|-
| 1961 ||align=right| 100,265 || [[Daniel Shanks]] and [[John Wrench]]<ref name="We have computed e on a 7090 to 100,265D by the obvious program.">{{cite journal|author1=Daniel Shanks |author2= John W Wrench|quote=We have computed e on a 7090 to 100,265D by the obvious program|title=Calculation of Pi to 100,000 Decimals|journal =Mathematics of Computation|volume= 16 |year=1962| issue =77| pages =76–99 |author1-link=Daniel Shanks |author2-link= John Wrench |quote-page=78|url=https://www.ams.org/journals/mcom/1962-16-077/S0025-5718-1962-0136051-9/S0025-5718-1962-0136051-9.pdf|doi=10.2307/2003813|jstor=2003813}}</ref>
|-
| 1978 ||align=right| 116,000 || [[Steve Wozniak]] on the [[Apple II]]<ref name="wozniak198106">{{cite magazine | url=https://archive.org/stream/byte-magazine-1981-06/1981_06_BYTE_06-06_Operating_Systems#page/n393/mode/2up | title=The Impossible Dream: Computing {{mvar|e}} to 116,000 Places with a Personal Computer | magazine=BYTE |volume=6 |issue=6 |author-link=Steve Wozniak |publisher=McGraw-Hill | date=June 1981 | access-date=18 October 2013 | last=Wozniak |first= Steve | page=392}}</ref>
|}

Since around 2010, the proliferation of modern high-speed [[desktop computer]]s has made it feasible for amateurs to compute trillions of digits of {{mvar|e}} within acceptable amounts of time. On Dec 24, 2023, a record-setting calculation was made by Jordan Ranous, giving {{mvar|e}} to 35,000,000,000,000 digits.<ref>{{cite web
 | title= y-cruncher - A Multi-Threaded Pi Program
 | editor= Alexander Yee
 | work= Numberworld
 | date= 15 March 2025
 | url=http://www.numberworld.org/y-cruncher/#Records
}}</ref>