一个惊人的总理启发式
An Amazing Prime Heuristic
摘要:
迪克森指出,一组多项式将采取无穷多个同时素数值。后来其他人,如哈代和利特尔伍德,估计这些素数的数量。在这篇文章中,我们看看这个猜想,开发一个简单的启发式和重新推导这些经典的估计。然后,我们将它们应用于几种特殊形式的素数,并将估计值与实际数字进行比较。
英文摘要:
Dickson conjectured that a set of polynomials will take on infinitely many simultaneous prime values. Later others, such as Hardy and Littlewood, gave estimates for the number of these primes. In this article we look at this conjecture, develop a simple heuristic and rederive these classic estimates. We then apply them to several special forms of primes and compare the estimates with the actual numbers.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。