English

Power-free values, repulsion between points, differing beliefs and the existence of error

Number Theory 2007-06-12 v1 Probability

Abstract

Let f be a cubic polynomial. Then there are infinitely many primes p such that f(p) is square-free.

Keywords

Cite

@article{arxiv.0706.1497,
  title  = {Power-free values, repulsion between points, differing beliefs and the existence of error},
  author = {Harald Andres Helfgott},
  journal= {arXiv preprint arXiv:0706.1497},
  year   = {2007}
}
R2 v1 2026-06-21T08:37:13.361Z