# Brazilian Primes Which Are Also Sophie Germain Primes

## TL;DR

This paper disproves Schott's conjecture by identifying Brazilian primes that are also Sophie Germain primes, providing a comprehensive enumeration of all such counterexamples up to 10^46.

## Contribution

It is the first to explicitly find and list all Brazilian primes that are also Sophie Germain primes up to 10^46, disproving the previous conjecture.

## Key findings

- Counterexamples up to 10^46 identified
- Schott's conjecture disproved
- Complete enumeration of such primes provided

## Abstract

We disprove a conjecture of Schott that no Brazilian primes are Sophie Germain primes. We enumerate all counterexamples up to $10^{46}$.