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.
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.