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An algorithm to verify Legendre’s conjecture up to 7 · 1013

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Almost primes between all squares

math.NT · 2025-01-29 · conditional · novelty 7.0

For every n ≥ 1, the interval between n^2 and (n+1)^2 contains a number with at most 4 prime factors.

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  • Almost primes between all squares math.NT · 2025-01-29 · conditional · none · ref 17

    For every n ≥ 1, the interval between n^2 and (n+1)^2 contains a number with at most 4 prime factors.