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Primes of the form $ax+by$

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

For coprime 3≤a<b, at least 0.005(ab-a-b)/log(ab-a-b) primes below the Frobenius number are representable as ax+by, and for fixed a the asymptotic fraction is 1/2-1/(2(a-1)).

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  • Primes of the form $ax+by$ math.NT · 2025-06-04 · conditional · none · ref 7

    For coprime 3≤a<b, at least 0.005(ab-a-b)/log(ab-a-b) primes below the Frobenius number are representable as ax+by, and for fixed a the asymptotic fraction is 1/2-1/(2(a-1)).