连续素数之间的间隙和指数分布

IF 0.7 4区数学 Q2 MATHEMATICS

Experimental Mathematics Pub Date : 2024-06-22 DOI:10.1080/10586458.2024.2362348

Joel E. Cohen

引用次数: 0

摘要

基于小于 4×1018 的素数，Oliveira e Silva 等人（Math.Comp., 83(288):2033-2060, 2014）猜想了连续素数之间间隙的第 k 次幂之和的渐近公式。

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Gaps Between Consecutive Primes and the Exponential Distribution

Based on the primes less than 4×1018, Oliveira e Silva et al. (Math. Comp., 83(288):2033–2060, 2014) conjectured an asymptotic formula for the sum of the kth power of the gaps between consecutive p...

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来源期刊

Experimental Mathematics 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Experimental Mathematics publishes original papers featuring formal results inspired by experimentation, conjectures suggested by experiments, and data supporting significant hypotheses. Experiment has always been, and increasingly is, an important method of mathematical discovery. (Gauss declared that his way of arriving at mathematical truths was "through systematic experimentation.") Yet this tends to be concealed by the tradition of presenting only elegant, fully developed, and rigorous results. Experimental Mathematics was founded in the belief that theory and experiment feed on each other, and that the mathematical community stands to benefit from a more complete exposure to the experimental process. The early sharing of insights increases the possibility that they will lead to theorems: An interesting conjecture is often formulated by a researcher who lacks the techniques to formalize a proof, while those who have the techniques at their fingertips have been looking elsewhere. Even when the person who had the initial insight goes on to find a proof, a discussion of the heuristic process can be of help, or at least of interest, to other researchers. There is value not only in the discovery itself, but also in the road that leads to it.