# Prime numbers from infinite prime number proof

by jfizzix
Tags: infinite, number, numbers, prime, proof
 P: 229 I don't know a name of primes of the form $\pm1+\prod_{p\in P} p$ for $P$ a finite set of primes. One comment, though. I'm not sure whether primality/non-primality of numbers of the above form is that interesting ("interesting" being too subjective for my comment to make any sense :P). The argument to which you're referring generates primes like that based on a hypothesis we know to be false: namely, that $P$ can be chosen to be the finite set of all primes.