n 2 n Q S S X and X (InX) Q S - viXravixra.org/pdf/1303.0181v1.pdf · ON CRAMER™S CONJECTURE In...

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Page 1: n 2 n Q S  S X and X (InX) Q S - viXravixra.org/pdf/1303.0181v1.pdf · ON CRAMER™S CONJECTURE In 1937 the Swedish mathematician Harald Cramer put forth the hypothesis that

ON CRAMER’S CONJECTURE In 1937 the Swedish mathematician Harald Cramer put forth the hypothesis that there always exists a prime number between X and X (InX)2, I respons in this way : That : X and X (InX)2 <=> Q Q ⊂ S1 ∧ S2 S2 ⊂ S3 ∧ S4 S4 <=> ϒ Ψ = S3 √S4 Or that : X and X (InX)2 <=> Q Q ⊂ S1 ∧ S2 S1 = 0 S2 <=> S3 (where Q, is a serie of whole naturals, S1 is a certain number of even numbers, S2 is a certain number of odd numbers, S3 a certain number of odd numbers that are multiples, S4 a certain number of odd+ non-multiple numbers, ϒ Ψ, the number of prime numbers from a series of natural given whole numbers) In this case taking into a account the prime numbers distribution (see theory on the particular distribution of prime numbers) Cramer’s conjecture is wrong.