Infinite Sequences of Primes of Form 4n-1 and 4n+1

Abstract

In this work, the author builds a search algorithm for large Primes. It is shown that the number constructed by this algorithm are integers not representable as a sum of two squares. Specified one note of Fermat. Namely, we prove that there are infinitely many numbers of Fermat. It is determined that the first number of Fermat exceeding the number 2 2 4  1 satisfies the inequality n  17 .

Authors and Affiliations

Kochkarev B. S.

Keywords

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  • EP ID EP404561
  • DOI -
  • Views 75
  • Downloads 0

How To Cite

Kochkarev B. S. (2017). Infinite Sequences of Primes of Form 4n-1 and 4n+1. International Journal of Humanities and Social Science Invention, 6(2), 4-5. https://europub.co.uk/articles/-A-404561