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A Curious Connection between Fermat's Number and Multiple Factoriangular Numbers

Journal: International Journal of Science and Research (IJSR) (Vol.10, No. 4)

Publication Date:

Authors : ;

Page : 539-540

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

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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 .

Last modified: 2021-06-26 18:50:05