1. ## Congruence

Question:

Let p= 7, 13, or 19. Prove that a^1728=1(mod p) for all a with (a,p)=1.

Similarily, prove that a^1729=a(mod p) for all a.

2. Originally Posted by mathman7
Question:

Let p= 7, 13, or 19. Prove that a^1728=1(mod p) for all a with (a,p)=1.

Similarily, prove that a^1729=a(mod p) for all a.