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Primary Problem 2 (Posted on 2012-12-09) Difficulty: 4 of 5
Prove that there exist infinitely many primes of the form 4x+1 and infinitely many primes of the form 4x-1.

No Solution Yet Submitted by Math Man    
Rating: 5.0000 (1 votes)

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re(2): Too simplistic? | Comment 3 of 4 |
(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 4x-1 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 4x-1.


  Posted by Math Man on 2012-12-10 11:23:20
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