# Help with number Theory HW

• July 9th 2008, 03:18 PM
JCIR
Help with number Theory HW
Prove or disprove the following.

There are infinitely many prime numbers expressible in the form of n^3+1 where n is a positive integer.
• July 9th 2008, 03:21 PM
ThePerfectHacker
Quote:

Originally Posted by JCIR
Prove or disprove the following.

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

Sum of two cubes identity.
• July 9th 2008, 03:29 PM
JCIR
Thanks
Thanks for the hint but I really do not know what the sum of two 2 cubes identity is.
• July 9th 2008, 03:35 PM
ThePerfectHacker
Quote:

Originally Posted by JCIR
Thanks for the hint but I really do not know what the sum of two 2 cubes identity is.

$x^3+y^3 = (x+y)(x^2-xy+y^2)$
• July 9th 2008, 03:46 PM
JCIR
Number Theory
I did not know that was called like that Thanks.