On Sophie Germain primes

Rok, strany: 2000, 65 - 73

A prime $p$ is so called a SG (Sophie Germain) prime when $2p+1$ is also a prime. These primes were considered, in connection with the first case of Fermat's last theorem, in the paper of Sophie Germain. It is unknown whether there exist infinitely many such primes. In this paper we shall give the formula related to the number of SG primes not exceeding $t≥ 1$, which is analogous to the well-known Legendre formula for counting explicitly the number of primes $≤ t$. Further, we shall discuss SG prime chains and attempt another approach for counting the number of these primes $≤ t$.

ISO 690:

Agoh, T. 2000. On Sophie Germain primes. In Tatra Mountains Mathematical Publications, vol. 20, no.3, pp. 65-73. 1210-3195.

APA:

Agoh, T. (2000). On Sophie Germain primes. Tatra Mountains Mathematical Publications, 20(3), 65-73. 1210-3195.