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math.NT 1

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The number of primes not in a numerical semigroup

math.NT · 2025-06-04 · conditional · novelty 6.0

For coprime a,b, at least 0.04 of the primes up to ab-a-b are not representable as au+bv, and for fixed a the optimal asymptotic constant is 1/2 + 1/(2(a-1)).

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  • The number of primes not in a numerical semigroup math.NT · 2025-06-04 · conditional · none · ref 8

    For coprime a,b, at least 0.04 of the primes up to ab-a-b are not representable as au+bv, and for fixed a the optimal asymptotic constant is 1/2 + 1/(2(a-1)).