Linked from

The 11 pages that link to Mersenne prime, each with the reason it gives.

• Even numberRelated: Mersenne primes generate every even perfect number through Euclid's formula.

• Lucas sequenceRelated: The Lucas–Lehmer test uses a Lucas recurrence to test numbers of this form.

• Perfect numberRelated: Finding further such primes yields further even perfect numbers, but no odd ones.

• Édouard LucasRelated: Lucas devised a celebrated test for deciding whether numbers of this form are prime.

• Sophie Germain primeRelated: Some Sophie Germain primes yield Mersenne primes through a related factorization.

• Euclid–Euler theoremRelated: The theorem's formula produces an even perfect number exactly when this factor is prime.

• Aliquot sumRelated: Mersenne primes connect Euclid’s construction to the aliquot sums of perfect numbers.