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arXiv · 1307.4444

Conjecture on the value of Pi(10^26), the number of primes less than 10^26

Vladimir Pletser
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Abstract

Based on the first 25 known values of Pi(10^n), the number of primes less than 10^n, with n integer between 1 and 25, we propose a conjectured value range of Pi(10^26) calculated by using polynomial interpolations with two corrective functions obtained by Thiele interpolations on relative differences of exact and interpolated values of Pi(10^n). The conjectured range value is in agreement with values obtained by the Eulerian logarithmic integral and with the Riemann functions.

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Vladimir Pletser. 2013-07-16. Conjecture on the value of Pi(10^26), the number of primes less than 10^26. https://arxiv.org/abs/1307.4444

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