Authors: Kenneth A. Watanabe
Legendre's conjecture, states that there is a prime number between n^2 and(n + 1)^2 for every positive integer n. In this paper, an equation was derived that accurately determines the number of prime numbers less than n for large values of n. Then it is proven by induction that there is at least one prime number between n^2 and (n + 1)^2 for all positive integers n thus proving Legendre’s conjecture.
Comments: 13 Pages.
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