Question

If p is an odd prime, then prove that summation(a|p)=0.

Answer 1

Answer:

Hello Radhe Radhe

☺☺☺☺☺

Step-by-step explanation:

Prove, if p is an odd prime: 1p−1+2p−1+...+(p−1)p−1 is congruent to -1 modulo p.

I was going to try and show this by induction but I am having trouble with the base case that 1p−1≡−1 mod p. This makes me think that induction isn't the right way to go. Any help would be much appreciated.

Thank you!