Proving there is an infinite number of some subset of primes, for any sort of non trivial subset of primes, seems noteworthy at first. But considering the implications of there being infinite primes, there being a finite limit seems far more noteworthy. Is there any set of finite primes that isn't trivial?
I'm considering trivial to be something like all primes less than 100 or all primes divisible by some prime p, which itself is just a much fancier generalization of the claim that 2 is a noteworthy prime for being the only even prime.
I think this is the only set of non-trivial primes proven to be finite, and even then it is technically an infinite set of finites sets of primes.
I'm considering trivial to be something like all primes less than 100 or all primes divisible by some prime p, which itself is just a much fancier generalization of the claim that 2 is a noteworthy prime for being the only even prime.
I think this is the only set of non-trivial primes proven to be finite, and even then it is technically an infinite set of finites sets of primes.
https://math.stackexchange.com/questions/2289089/has-any-non...