Fermat’s Little Theorem — AMC & AIME Practice Problems

Fermat’s Little Theorem — AMC & AIME Problems

Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Fermat’s Little Theorem — a number theory concept — each with a professionally curated solution, many with a video solution too, from LIVE by Po-Shen Loh. Browse all concepts or the full past-contest archive.

All of these problems are used with official legal permission of the Mathematical Association of America (MAA).

AMC 10

2017 AMC 10B Problem 14

More number theory concepts

Chicken McNugget Theorem Chinese Remainder Theorem continued fraction digits Diophantine Equation divisibility Euler’s Totient Function factor factor counting greatest common divisor least common multiple Legendre’s Formula modular arithmetic modular exponentiation multiple multiplicative order palindrome parity perfect power perfect square power of 2 prime prime factorization sum of factors trailing zeros triangular number units digit