2^29363731-1 Is Not Prime!

2^29363731-12^29363731-1

I've been interested in prime numbers since I was very young. Later, in a book called Unsolved Mysteries, I came across things like Mersenne primes, perfect numbers, and twin primes, and found them all fascinating. After I bought a computer in middle school, I started paying attention to Prime 95, the distributed computing program for finding Mersenne primes. I had tried running it before, but since my computer's specs were pretty low back then, I usually gave up around the 20% mark.

When I got to college I bought a quad-core laptop, and around October last year I started running the program again. Since it's quad-core, it could test four numbers simultaneously. After half a year of running, I finally finished testing the first number today: $2^{29363731}-1$. As expected, it's not a prime. Regardless, it's the first test I've completed, so I suppose it counts as a small achievement of my own — heh, just having a bit of fun with myself here. more

The tests for the second, third, and fourth numbers are still in progress, at different stages, and should finish soon. I'll share the results with everyone when they're done.

The log shows it finished at 10:11 this morning:

[Comm thread Apr 8 10:11] Sending result to server: UID: bojone/bojone, M29363731 is not prime. Res64: 216CDDA1A8E59DB8. We4: DD94A916,19701102,00000000, AID:
[Comm thread Apr 8 10:11]
[Comm thread Apr 8 10:11] PrimeNet success code with additional info:
[Comm thread Apr 8 10:11] LL test successfully completes double-check of M29363731
[Comm thread Apr 8 10:11] CPU credit is 29.2006 GHz-days.
[Comm thread Apr 8 10:11] Done communicating with server.
English translation of a post from 科学空间 | Scientific Spaces by 苏剑林. Original: https://kexue.fm/archives/1951
Translated automatically with claude-sonnet-5; all equations are reproduced verbatim from the source. Copyright remains with the original author.