涉及整数及其最大质因数互积的两个和的贝克十几位数

arXiv - MATH - General Mathematics Pub Date : 2024-07-02 DOI:arxiv-2407.12047

Tengiz O. Gogoberidze

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摘要

对整数 n 及其最大质因数 G(n) 的乘积的倒数的两个和计算到小数点后 13 位。这些和收敛了，但收敛得很慢。它们被转化为涉及梅尔腾斯素数乘积与余项的和，这些和是通过切比雪夫的{\theta}函数估算出来的。

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Baker's dozen digits of two sums involving reciprocal products of an integer and its greatest prime factor

Two sums over the inverse of the product of an integer n and its greatest prime factor G(n), are computed to first 13 decimal digits. These sums converge, but converge very slowly. They are transformed into sums involving Mertens' prime product with the remainder term which are estimated by means of Chebyshev's {\theta}-function.

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arXiv - MATH - General Mathematics

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