Solinas prime

In mathematics, a Solinas prime, named after Jerome Solinas, is a prime number of the form 2 a ± 2 b ± 1 , where 0 < b < a .

For example, the first five pairs of twin primes are also Solinas primes.

The first few Solinas primes are

3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 47, 59, 61, 67, 71, 73, 79, 97, … (sequence A165255 in the OEIS).

The first odd prime that is not a Solinas prime is 43.