Carol prime

Carol prime (plural Carol primes)

1. (mathematics) A Carol number that is also a prime number.
   • 2011, Scott B. Guthery, The Farey Sieve, page 8:

     Carol Primes: FareySieve[{(2^#-1)^2-2&}]

   • 2019, Bruce Pyne, Prime Recreations: An Olio of Curios about Prime Numbers, page 29:

     16,127 The fifth Carol prime of the form (2n – 1)² – 2

   • 2021, Elena Deza, Mersenne Numbers And Fermat Numbers, page 138:

     By this approach, the Kynèa primes and the Carol primes can be consider as examples of generated Mersenne primes, with the polynomials f(x) = x² ± 2x − 1.