Proof of Legendre’s conjecture
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There always exists p in [n,n+h(n)] with p prime when n is sufficiently large, with h(n) = ln(n),ln(ln(n)),ln(ln(ln(n))), etc., any expression with a finite number of natural logarithms and fixed is acceptable . The greater the number of ln terms, the larger n must be to ensure that the interval [n,n + h(n)] always contains at least one prime number
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2025-08-28
