M. Mothebe

most citedA proof of cases of de Polignac's conjecture

1 citations · 1 across the 2 of their papers we have counts for

collaborators

2 papers

math.GM2019★ 1 cited

A proof of cases of de Polignac's conjecture

Mbakiso F. Mothebe, Dintle N. Kagiso, Ben T. Modise

For $n \geq 1$ let $p_{n}$ denote the $n^{th}$ prime number. Let $S = {1, 7, 11, 13, 17, 19, 23, 29},$ the set of positive integers which are both less than and relatively prime t…

math.GM2019

Sieve methods and the twin prime conjecture

Mbakiso Fix Mothebe

For $n \geq 3,$ let $p_{n}$ denote the $n^{th}$ prime number. Let $[]$ denote the floor or greatest integer function. For a positive integer $m,$ let $π_{2} (m)$ denote the nu…