素Zeta函数某些积分的20位数
Twenty Digits of Some Integrals of the Prime Zeta Function
摘要：
双和sum_（s >= 1）sum_p 1/（p^s log p^s）= 2.00666645.在素数幂p^s和它们的乘积的倒数上，计算到24个十进制数字。该和覆盖所有素数p和所有整数指数s>=1。计算策略采用Cohen的方法，基本上是将分数看作素Zeta函数的导数，然后用数值方法计算积分。
英文摘要：
The double sum sum_(s >= 1) sum_p 1/(p^s log p^s) = 2.00666645... over the inverse of the product of prime powers p^s and their logarithms, is computed to 24 decimal digits. The sum covers all primes p and all integer exponents s>=1. The calculational strategy is adopted from Cohen's work which basically looks at the fraction as the underivative of the Prime Zeta Function, and then evaluates the integral by numerical methods.
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。
