A Curious Connection between Fermats Number and Multiple Factoriangular Numbers

Swati Bisht | Dr. Anand Singh Uniyal

Abstract: 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 numbers are of the form n!k+ ?nk for some fixed value of k and n. Further we will prove that after F4 no other Fermat prime exist upto 1050.

Keywords: Fermat's Number, prime number, multiple factoriangular numbers, Fermat prime

Edition: Volume 10 Issue 4, April 2021,

Pages: 539 - 540

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A Curious Connection between Fermats Number and Multiple Factoriangular Numbers

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