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ZENODO
Preprint . 2026
License: CC BY
Data sources: ZENODO
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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Claim

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

descriptionPublicationkeyboard_double_arrow_right Preprint 21 Jan 2026Publisher:Zenodo
Authors: Chua, Cheong Siong;

doi: 10.5281/zenodo.18323633 , 10.5281/zenodo.18323632

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

Abstract

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.”

Keywords

Catalan Mersenne numbers

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    popularity
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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green