Stern prime

If for a given prime numberMathworldPlanetmath q there is no smaller prime p and nonzero integer b such that q=2b2+p, then q is a Stern prime. These primes were first studied by Moritz Abraham Stern, in connection to a lesser known conjecture of Goldbach’s. Like other mathematicians of the time, Stern considered 1 to be a prime number. Thus his list of Stern primes read thus: 2, 17, 137, 227, 977, 1187, 1493. A century later the list has been amended to include 3 (as in A042978 of Sloane’s OEIS) but no terms larger than 1493 have been found. The larger of a twin primeMathworldPlanetmath is not a Stern prime.

Title Stern prime
Canonical name SternPrime
Date of creation 2013-03-22 16:19:10
Last modified on 2013-03-22 16:19:10
Owner PrimeFan (13766)
Last modified by PrimeFan (13766)
Numerical id 4
Author PrimeFan (13766)
Entry type Definition
Classification msc 11N05