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Let us look on Fermat numbers and on numbers linked to Fermat numbers

Theoretical Mathematics & Applications, 2022
Ikorong Annouk, Ozen OZER
openaire   +1 more source

A primality test for Fermat numbers

1995
The paper gives a primality criterion for Fermat numbers \(F_n=2^{2^n}+1\) \(\left(n=0,1,2,\ldots\right)\). The author proves the following theorem. Let \(k\) and \(n\) be fixed positive integers such that \(0< k\leq [\log n/\log_2]\) and \(n>1\). The Fermat number \(F_k\) is prime if and only if \(F_k\) does not divide \(T\left(2^{n-1}\right)\), where
Grytczuk, A., Grytczuk, J.
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Number Theory: Fermat’s Last Theorem

1999
On June 24, 1993, the New York Times ran a front-page story with the headline “At Last, Shout of ‘Eureka!’ In Age-Old Math Mystery.” The proverbial shout of “Eureka!” had echoed across the campus of Cambridge University, England, just the day before.
Reinhard Laubenbacher, David Pengelley
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Abrasion Resistant/Waterproof Stretchable Triboelectric Yarns Based on Fermat Spirals

Advanced Materials, 2021
Chengyi Hou, Yaogang Li, Qinghong Zhang
exaly  

Fermat Numbers

The American Mathematical Monthly, 1919
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