Brazilian Primes Which Are Also Sophie Germain Primes
Abstract
We disprove a conjecture of Schott that no Brazilian primes are Sophie Germain primes. We enumerate all counterexamples up to $10^{46}$.
- Publication:
-
arXiv e-prints
- Pub Date:
- March 2019
- DOI:
- 10.48550/arXiv.1903.04577
- arXiv:
- arXiv:1903.04577
- Bibcode:
- 2019arXiv190304577G
- Keywords:
-
- Mathematics - Number Theory;
- Primary 11A41;
- Secondary 11A63
- E-Print:
- v6: Clarified (or at least explained confusion over) origin of term "Brazilian" v7: expanded exposition somewhat v8: brought in line with published version