Published January 21, 2026 | Version v1
Preprint Open

Catalan Mersenne numbers and discovery of the 53rd and 54th Known Mersenne primes

Contributors

Researcher:

Description

This preprint contains the discovery of the 53rd and 54th Known Mersenne primes as well as infinitely many Mersenne primes as well as 2 largest prime numbers with more than 1 billion digits long and 100 million digits long. This timestamp serves to establish the claim of the 2 prize money by eff coop awards. The manuscript was submitted to Inventiones Mathematicae on 24 Sep 2025 and is currently under review.”

Files

CATALAN_MERSENNE_NUMBERS_AND_DISCOVERY_OF_THE_53rd_AND_54th_KNOWN_MERSENNE_PRIMES_12_SEP.pdf

Additional details

Dates

Submitted
2025-09-24
This preprint contains the discovery of the 53rd and 54th Known Mersenne primes as well as infinitely many Mersenne primes as well as 2 largest prime numbers with more than 1 billion digits long and 100 million digits long. This timestamp serves to establish the claim of the 2 prize money by eff coop awards. The manuscript was submitted to Inventiones Mathematicae on 24 Sep 2025 and is currently under review."