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

Authors :
Pletser, Vladimir
Publication Year :
2013

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.<br />Comment: 12 pages, 2 figures, 3 appendixes

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1307.4444
Document Type :
Working Paper