Twin primes and the $3$-sphere
Number Theory
2024-07-09 v2
Abstract
We investigate the group of points of the -sphere modulo a prime, point out connections to other known groups and the Chebyshev polynomials, and show that there is an infinite series which converges if and only if there are finitely many pairs of twin primes. Hence to prove that that the series diverges is to prove the twin prime conjecture.
Cite
@article{arxiv.2406.16248,
title = {Twin primes and the $3$-sphere},
author = {Samuel A. Hambleton},
journal= {arXiv preprint arXiv:2406.16248},
year = {2024}
}
Comments
Remark 3.1 was corrected