Conjecture on the value of Pi(1026), the number of primes less than 1026
Abstract
Based on the first 25 known values of Pi(10n), the number of primes less than 10n, with n integer between 1 and 25, we propose a conjectured value range of Pi(1026) calculated by using polynomial interpolations with two corrective functions obtained by Thiele interpolations on relative differences of exact and interpolated values of Pi(10n). The conjectured range value is in agreement with values obtained by the Eulerian logarithmic integral and with the Riemann functions.
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