Solinas prime
Encyclopedia
In mathematics
, a Solinas prime, named after Jerome Solinas, is a prime number
of the form 2a ± 2b ± 1, where 0 < b < a.
For example, the first five pairs of twin prime
s are also Solinas primes.
The first few Solinas primes are
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
, a Solinas prime, named after Jerome Solinas, is a prime number
Prime number
A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is called a composite number. For example 5 is prime, as only 1 and 5 divide it, whereas 6 is composite, since it has the divisors 2...
of the form 2a ± 2b ± 1, where 0 < b < a.
For example, the first five pairs of twin prime
Twin prime
A twin prime is a prime number that differs from another prime number by two. Except for the pair , this is the smallest possible difference between two primes. Some examples of twin prime pairs are , , , , and...
s are also Solinas primes.
The first few Solinas primes are
External links
- Jerome A. Solinas, "Generalized Mersenne Numbers" (pdf)