Question

Find all residues n such that n is its own inverse modulo 7549.

Answer 1

this is a number theory question?

Answer 2

u mean find all n such that
n=n (mod 7549)

Answer 3

*

Answer 4

x2≡1(mod p)
only if x=1 or −1 and it turns out 7549 is prime

Answer 5

Can you apply Fermat's little theorem here as 7549 is prime?