Polignac: New Conjecture

Abstract

The intent of this essay is not to try to prove that the twin primes are infinite. We would just like to add another way so that others interested in Number Theory can help in elucidating this mystery. The conjecture of Polignac states that each natural pair is equal to the difference of two primes; but this conjecture, it seems, has not yet been proven. However, we note that there is a certain correlation of that thesis with the foundations of our previous study, as proposed in "Goldbach New Conjecture", which led to this monograph on twin primes. Pair (g, h) k p q g 5 71 h 5 73 kg 5 12 pg 5 59 qg 5 83 kh 5 6 ph 5 67 qh 5 79 kg 5 18 pg 5 53 qg 5 89 kh 5 36 ph 5 37 qh 5 109 kg 5 30 Pg 5 41 qg 5 101 kh 5 30 ph 5 43 qh 5 103 kg 5 66 pg 5 5 qg 5 137 kh 5 66 ph 5 7 qh 5 139 Table 1: Symmetries pair of (71,73). Citation: Leichsenring IG (2018) Polignac: New Conjecture. J Appl Computat Math 7: 415. doi: 10.4172/2168-9679.1000415