A 10,000 digit prime number called the "Pepe" prime
(media.greatawakening.win)
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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.
Care to share your code?