Track / Stage 5 / 95 of 400 #695 of 2000

3. For which integers $b$, is the congruence equation $7 x^{8} \equiv b(\bmod 41)$ solvable?

Your answer

Check

Show the answer

Official solution

3. $b \equiv 29,3,30,13,7(\bmod 41)$.

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.