This article defines a property that can be evaluated for a prime number. In other words, every prime number either satisfies this property or does not satisfy this property.
View other properties of prime numbers | View other properties of natural numbers
The corresponding prime is termed a Sophie Germain prime.
The ID of the sequence in the Online Encyclopedia of Integer Sequences is A005385
The first few safe primes are:5, 7, 11, 23, 47, 59, 83, 107, 167, [SHOW MORE]View list on OEIS
The first few primes that are not safe primes are: 2, 3, 13, 17, 19.
Density in primes
|Cutoff||Number of primes||Number of safe primes||Proportion of primes that are safe primes|
Relation with other properties
Related properties of primes or pairs of primes
- Sophie Germain prime is a prime such that is also a prime.
- Twin primes are primes that differ by two.
Related properties of longer chains of primes
- Cunningham chain of the first kind is a chain of primes such that .
- Bitwin chain is a collection of multiple pairs of twin primes, each pair being double the previous one.