CONFIRMATION OF THE DE POLIGNAC AND THE TWIN PRIMES CONJECTURES

Authors

  • Mohammed Ghanim Author

Keywords:

the De Polignac conjecture-the, twin primes conjecture –the, Schoenfeld inequality –the, prime counting function-the, rarefaction law of prime numbers- the, Hospital rule 2010 Mathematics Subject, classification: 11 A xx (Elementary Number theory)

Abstract

I show the veracity of the De Polignac conjecture, remained open since 1849, which says that for any natural integer k there is an infinite number of pairs of prime integers differing by 2k, and I deduce the twin prime conjecture (i.e. the case k=1) . I do this by using the Schoenfeld inequality that I have proved in [10] and by using the same approach that I have used in [11].

Downloads

Published

2018-07-10

Issue

Vol. 5 No. 7 (2018)

Section

Articles

How to Cite

CONFIRMATION OF THE DE POLIGNAC AND THE TWIN PRIMES CONJECTURES. (2018). Global Journal of Advanced Engineering Technologies and Sciences, 5(7), 1-9. https://gjaets.com/index.php/gjaets/article/view/98