disprove the conjecture: There are infinitely many prime numbers expressible in the form n^3 +1 where n is a positive integer

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- Sep 2nd 2008, 02:26 PMrmpatel5prime number conjecture
disprove the conjecture: There are infinitely many prime numbers expressible in the form n^3 +1 where n is a positive integer

- Sep 2nd 2008, 02:49 PMThePerfectHacker
- Sep 2nd 2008, 02:51 PMrmpatel5
I have that part: n^3 +1= (n+1)(n^2-n+1). Just dont know where to go from. I know that 2 is the only integer that will work but i just dont know how to prove it.

- Sep 2nd 2008, 02:54 PMThePerfectHacker
- Sep 2nd 2008, 04:53 PMrmpatel5
so anything that factors can not be prime because that makes it a composite?

- Sep 2nd 2008, 07:23 PMThePerfectHacker