Mersenne Primes

A Mersenne prime has the form M_p = 2^p − 1 where p itself is prime. Only 51 are known. Explore the Lucas-Lehmer primality test and the known Mersenne primes on a log scale.

Test exponents up to p = 50

Lucas-Lehmer Test Results (M_p = 2^p−1)

Known Mersenne primes plotted on log scale. Largest known (2024): M_136279841, a 41-million digit number.