Prove that there exist infinitely many primes of the form 4x+1 and infinitely many primes of the form 4x1.
(In reply to
re: Too simplistic? by Charlie)
That would require proving the twin prime conjecture, which has not been proven yet. It is too difficult to put as a problem here. The x's in 4x+1 and 4x1 are not necessarily the same. This problem is really two problems.
1. Prove that there are infinitely many primes of the form 4x+1.
2. Prove that there are infinitely many primes of the form 4x1.

Posted by Math Man
on 20121210 11:23:20 