Fun math fact: 19937 is prime even when you take the end digit and put it back at the start repeatedly. It's known as a circular prime:

19937 = prime
71993 = prime
37199 = prime
93719 = prime
99371 = prime

It's also one of the 52 known Mersenne prime p-values (2^p-1), as 2^19937-1 is prime, and this Mersenne prime is the most common used period length for the Mersenne Twister pseudorandom number generator.

#Math #Mathematics #PrimeNumbers #MersennePrime #CircularPrime

Today marks the one-year anniversary of the current largest known prime number 2^136279841-1 being discovered! 

https://www.mersenne.org/primes/?press=M136279841

#MersennePrime #PrimeNumbers #Mathematics #Math

Mersenne Prime Discovery - 2^136279841-1 is Prime!

GIMPS has discovered a new Mersenne prime number: 2^136279841-1 is prime! Discovered: 2024 Oct 12

Some #MersennePrime news: on December 26, 2017, Jon Pace of the Great Internet Mersenne Prime Search found that 2^77232917-1 was prime. It was the 50th *discovered* Mersenne prime, but on September 8th all double-check tests on Mersenne numbers below it have finished, officially confirming it to be the 50th Mersenne prime overall! 

#Math #PrimeNumbers #MersennePrimes #Primes #Mathematics

A #MersennePrime #math pattern I love is the Catalan-Mersenne number conjecture (https://en.wikipedia.org/wiki/Double_Mersenne_number#Catalan–Mersenne_number_conjecture):

2^2-1 = 3 (prime)
2^3-1 = 7 (prime)
2^7-1 = 127 (prime)
2^127-1 = 170141183460469231731687303715884105727 (prime)

Is 2^170141183460469231731687303715884105727-1 prime? It's so big it's unlikely, but you never know. We can only hope to find a factor of it: http://www.doublemersennes.org/mm127.php

Double Mersenne number - Wikipedia

Though it was discovered over 9 years ago, all double-checks below 2⁷⁴²⁰⁷²⁸¹-1 have been verified and it is now *officially* the 49th Mersenne prime!

https://www.mersenne.org/report_milestones/

#MersennePrime #PrimeNumbers #Math #Mathematics

Learned about the Great Internet Mersenne Prime Search (GIMPS) this morning. There's just something about prime numbers, I think I'll add my computer to the search this evening.

Mersenne primes are of the form 2^p - 1, and currently the largest known prime is a Mersenne prime found by GIMPS. Exciting stuff!

https://www.mersenne.org/

#prime #PrimeNumber #mersenne #MersennePrime #math #gimps #mathematics #maths

Great Internet Mersenne Prime Search - PrimeNet

Great Internet Mersenne Prime Search - Finding world record primes since 1996. GIMPS is an organized search for Mersenne prime numbers using provided free software.

2⁷⁴²⁰⁷²⁸¹-1 is the 49th *discovered* Mersenne prime, discovered by Curtis Cooper at the University of Central Missouri in early 2016. All numbers of the form 2ᵖ-1 (where p is prime) must be double-checked to ensure no primes are missed.

Good news: there's only 7 more double-check tests to go until 2⁷⁴²⁰⁷²⁸¹-1 is *officially* proven to be the 49th Mersenne prime *overall*!

#MersennePrime #PrimeNumbers #Math #Mathematics

A fun #math project I found: can we say all 41,024,320 digits of the largest known prime number before a larger prime number is discovered?

You get assigned a 419-digit exerpt of the prime for you to say on video, then everyone's videos saying their digits are put in a row so everyone says the prime number in full.

(Note: Requires a YouTube channel)

https://saytheprime.com/

#PrimeNumbers #MersennePrime #Prime #Primes #Maths #Mathematics

Say the Prime

We're attempting to get a collection of humans to say every digit of the newly-discovered (and currently largest-known prime number) Mersenne prime M136279841, and hope to achieve this before another larger prime is discovered.