A 10,000 digit prime number called the "Pepe" prime
(media.greatawakening.win)
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Do you have proof that this is a prime number?
Agree. Let's stop calling these things "primes". You can't possibly know they are prime. All the supercomputers in the world operating for the age of the known universe couldn't check the ~10^4995 factors to verify this is prime.
They are cool ascii art that are relatively prime to a few small numbers. That's it.
They actually do have supercomputers dedicated to this stuff.
Do the math though...they're not THAT powerful. 10^4995 factors? An entire planet of supercomputers couldn't verify that. Smaller primes sure. But I doubt even Elon knows if his number is truly prime.
There are only a few known large primes that were discovered because of special properties. Mersenne primes are an example. That's why even knowing this prime number:
https://greatawakening.win/p/17s5MxWRVO/re-elon-musks-1800digit-prime-nu/
is bad news for the MPAA.
Note: a quantum supercomputer running Shor's algorithm could determine primality of a large number like this in a realistic period of time. There are no such quantum supercomputers known to exist.
Sure. The largest prime number ever found has almost 25 million digits. 1,800 digits is PEANUTS.
I am pretty sure the OP does not have one in his basement!
I have a pretty EPYC CPU ;-)
You are severely overestimating what it takes to determine if a number is prime or not. There are very quick methods to do this. On my CPU it takes about a minute to do for a ~10,000 digit number.
Just copy the number and use one of those libraries in either Python or C++; you will find the number is a prime.