Number Theory

    

On Legendre’s Conjecture

Authors: A.Garcés Doz

Legendre’s conjecture, stated by Adrien-Marie Legendre ( 1752-1833 ), says there is always a prime between n2 and (n+1)2 . This conjecture is part of Landau’s problems. In this paper a proof of this conjecture is presented, using the method of generating prime numbers between consecutive squares, and proving that for every pair of consecutive squares with n >= 3 may be generated at least one prime number that belongs to the interval [n,(n+1)^2]

Comments: 7 Pages.

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Submission history

[v1] 2014-03-26 15:36:59

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