# Why You Should Care About a Prime Number That’s 22338618 Digits Long

January 23, 2016 - table lamp

A primary series is a whole series whose usually factors are 1 and itself. The numbers 2, 3, 5, and 7 are prime, though 4 is not since it can be factored as 2 x 2. (For reasons of convenience, we don’t cruise 1 to be a prime.) The M in GIMPS and in M74207281 stands for Marin Mersenne, a 17^{th}-century French brother who complicated a numbers that bear his name. Mersenne numbers are 1 reduction than a energy of 2. Mersenne primes, logically enough, are Mersenne numbers that are also prime. The series 3 is a Mersenne primary since it’s one reduction than 2^{2}, that is 4. The subsequent few Mersenne primes are 7, 31, and 127.