English

Finite and infinite primes in models of PA

Number Theory 2022-12-21 v1

Abstract

We characterize models of Peano arithmetic (PA) with infinitely many infinite primes p such that p + 2 has no finite prime divisor.

Keywords

Cite

@article{arxiv.2212.10104,
  title  = {Finite and infinite primes in models of PA},
  author = {Daniele Mundici},
  journal= {arXiv preprint arXiv:2212.10104},
  year   = {2022}
}