Help with number Theory HW

**JCIR** · July 9th 2008, 02:18 PM

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.

**ThePerfectHacker** · July 9th 2008, 02:21 PM

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.

**JCIR** · July 9th 2008, 02:29 PM

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

**ThePerfectHacker** · July 9th 2008, 02:35 PM

Originally Posted by JCIR

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

$x^3+y^3 = (x+y)(x^2-xy+y^2)$

**JCIR** · July 9th 2008, 02:46 PM

I did not know that was called like that Thanks.

Thread: Help with number Theory HW