English

Small Primes And The Tau Function

Number Theory 2025-07-25 v3

Abstract

This note shows that the prime values of the Ramanujan tau function τ(n)=±p\tau(n)=\pm p misses every prime p8.0×1025p\leq 8.0\times 10^{25}.

Cite

@article{arxiv.2006.13723,
  title  = {Small Primes And The Tau Function},
  author = {N. A. Carella},
  journal= {arXiv preprint arXiv:2006.13723},
  year   = {2025}
}

Comments

Twenty Nine Pages. Keywords: Tau Function; Modular Function; Lehmer Conjecture

R2 v1 2026-06-23T16:35:23.934Z