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Journal of Applied & Computational Mathematics

ISSN: 2168-9679

Open Access

A Curious Connection Between Fermat’s Number and Multiple Factoriangular Numbers

Abstract

Swati Bisht* and Dr. Anand Singh Uniyal

In the seventeenth century Fermat defined a sequence of numbers Fn=22n +1 for n ≥ 0 known as Fermat’s number . If Fn happens to be prime then Fn is called Fermat prime. All the Fermat’s number are of the form n!k+ Σnk for some fixed value of k and n. Further we will prove that after F4 no other Fermat prime exist upto 1050 .

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