Sophie Germain prime

GPTKB entity

Statements (21)
Predicate Object
gptkbp:instanceOf gptkb:Prime_Number
gptkbp:application gptkb:public-key_cryptosystems
cryptography
gptkbp:defines A prime number p such that 2p + 1 is also prime
gptkbp:example 2
11
23
3
5
gptkbp:field number theory
gptkbp:hasConjecture There are infinitely many Sophie Germain primes
https://www.w3.org/2000/01/rdf-schema#label Sophie Germain prime
gptkbp:namedAfter gptkb:Sophie_Germain
gptkbp:namedFor gptkb:Edouard_Lucas
gptkbp:property If p is a Sophie Germain prime, then 2p+1 is a safe prime
gptkbp:relatedConcept gptkb:twin_prime
prime gap
safe prime
gptkbp:sequence gptkb:A005384
gptkbp:bfsParent gptkb:Sophie_Germain
gptkbp:bfsLayer 6