Panaitopol, Inequalities concerning the function π(x): applications, Acta Arith

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math.NT · 2024-11-14 · conditional · novelty 4.0

For coprime integers 2<a<b, there exists a prime p with p≤ab-a-b of the form p=ax+by with x,y≥0, confirming the Ramirez Alfonsin-Skalba conjecture.

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Note on a conjecture of Ram\'{\i}rez Alfons\'{\i}n and Ska{\l}ba math.NT · 2024-11-14 · conditional · none · ref 6
For coprime integers 2<a<b, there exists a prime p with p≤ab-a-b of the form p=ax+by with x,y≥0, confirming the Ramirez Alfonsin-Skalba conjecture.