Legendre problem of prime number distribution

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Legendreproblem of prime number distribution

Abstract: Legendre'sconjecture states that there must be a prime number between the squared of anynatural number that is not less than 1 and the squared of subsequent natural numbers. They have proved thisproblem based on the prime number theorem and the basic formula of calculus.

Key words: prime numberdistribution, positive constant

MR (2010) Subject Classification 11P02, 45A00

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