MathDBThe infinitude conjecture for Mersenne primes
The infinitude conjecture for Mersenne primes
A Mersenne prime is a prime number of the form
with prime. Mersenne-prime infinitude conjecture. There are infinitely many Mersenne primes.
This conjecture is used to obtain the paper's conditional result for the Legendre elliptic surface; it is a longstanding open problem.
Sources & referencesView supporting material
Primary source
Jerson Caro and Hector Pasten, “On the fibres of an elliptic surface where the rank does not jump”, arXiv:2210.14181 (2022).
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