Number Theory

    

Two Hundred and Thirteen Conjectures on Primes

Authors: Marius Coman

This book brings together sixty-two articles regarding primes submitted by the author to the preprint scientific database Vixra, papers on squares of primes, semiprimes, twin primes, sequences of primes, ways to write primes, special classes of composites, formulas for generating large primes, formulas for generating different duplets and triplets of primes, generalizations of the twin primes and de Polignac’s conjectures, generalizations of Cunningham chains, Smarandache generalized Fermat numbers, and on many other issues very much related with the study of primes. Finally, in the last eight from these collected papers, I defined a new function, the MC function, and showed some of its possible applications: for instance, I conjectured that for any pair of twin primes (p, p + 2) there exist a positive integer n of the form 15 + 18*k such that the value of Smarandache function for n is equal to p and the value of MC function for n is equal to p+2 and I also made a Diophantine analysis of few Smarandache types sequences using the MC function.

Comments: 145 Pages. Published by Education Publishing, USA. Copyright 2015 by Marius Coman.

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Submission history

[v1] 2014-09-06 07:53:48
[v2] 2014-10-10 03:58:08
[v3] 2014-11-10 11:17:41
[v4] 2014-11-20 07:04:12
[v5] 2014-11-27 04:23:06
[v6] 2014-12-03 06:05:38
[v7] 2015-02-18 12:27:35

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