New largest prime number found! See all 41,024,320 digits. @standupmaths
New largest prime number found! See all 41,024,320 digits.  @standupmaths
Uploaded October 2024 | Updated September 2026, 2 weeks ago
2^136,279,841 - 1 has 41,024,320 digits and is prime! Read all about the new largest prime number ever found: mersenne.org/primes/?press=M136279841

Huge thanks to Luke Durant, George Woltman and everyone at the Great Internet Mersenne Prime Search.

Get involve in the search for large primes! mersenne.org

This is the breakdown of the maths methods used by the Great Internet Mersenne Prime Search: mersenne.org/various/math.php

Here are the details of the test completed on M52 (the 52nd Mersenne prime). mersenne.org/report_exponent/?exp_lo=136279841&full=1

The old computer photo was of Alice Betsy and Donald Gillies in front of the ILLIAC I computer which found three record-breaking primes in 1963. en.wikipedia.org/wiki/Donald_B._Gillies

In 2016 I printed the then-biggest prime: youtube.com/watch?v=tlpYjrbujG0
And I talked about the Lucas-Lehmer test to prove it is prime: youtube.com/watch?v=tlpYjrbujG0

This is my Pi By Hand video which Daniel B also features in. youtube.com/watch?v=LIg-6glbLkU

Yes, pieces of Skylab (spacecraft, not dog) are in Esperance, Western Australia. https://www.esperance.wa.gov.au/esperance-museum/skylab

Keep an eye on A Problem Squared to see why I was recording somewhere between Perth and Esperance. podcasters.spotify.com/pod/show/a-problem-squared

Huge thanks to my Patreon supporters. I bought Lucie and Steve pizza at Lucky Bay Brewing. Support me and I'll buy more beer for my family. Think of my family! patreon.com/standupmaths

CORRECTIONS
- None yet, let me know if you spot anything!

Filming by Lucie Green
Timing and moral support by Steve Parker
Editing by Alex Genn-Bash
Written and performed by Matt Parker
Produced by Nicole Jacobus
Music by Howard Carter
Design by Simon Wright and Adam Robinson

MATT PARKER: Stand-up Mathematician
Website: standupmaths.com

What's that? You want the first 1,000 and the last 1,000 digits? Ok then.

88169432750383326555393910037811735897120735450906604106715637641242263069475684144172599034772328310883750973995977687416411861067989576855334864723995205060798449228721358061244076525539478775000439534750170154974576283410295848102383525535219220018019849855213682289354421233731941048436851937365086094936028711317471018571432064708199837306148628782571243013388625206173910274307646954181724489815008305937259728175843471969304505016010624205115241396117063758595818539722355781328791512832801883905761320993838905658296650552409138343183552227657748911779669750031093294093386744231619348351202551513084271500976680524602998030484860484032028378812274042189370786146986225083833180256124082952929091707884436572049502580821237700560065034341723563299580864533178881894890817148581725172201276201796923763182586106207328500056407876479535665919678190450758160463293878836864796419780569458825516434971724519669668448902003364676649856436358572985441582849317833496323027747555507286203346254829408
...
379917800074819834879174805544034190986430521374206285055121736821172730439885890696160696738793999689882023176568153106746504313606250642598076140813828315717419942537662944964306217371556136368352752973759780217936883138877627248808662700396663095279153973893902666086461616485583762677066904293427343455290492166513799179605246624655355275099116671949790439962847921294301305427953128314765939127728218346554896221997074614829104667188434513710908760262441958100654871778292588483687836525477866623456759406568413274257016253600215416101593545336364864016927856588259167176083248724260943143895526709760397223040669769164386169801147177769071911797791558053414248681988242398764524051454517822994048288203377834666172715887058758075640360627674534014864896061019562846339719171054887748917152381772467028804688715061941073872049488371255679127735992935698305082529421587975486852806517931459412567957568284228288124096109707961148305849349766085764170715060409404509622104665555076706219486871551
New largest prime number found! See all 41,024,320 digits.
Stand-up Maths |

New largest prime number found! See all 41,024,320 digits.

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