weak prime

If for the given nth prime pn the inequalityMathworldPlanetmath


is true, then pn is said to be a weak prime. That is, the arithmetic meanMathworldPlanetmath of the given prime, the prime immediately below and the one immediately above, is more than the middle prime. The first few are 3, 7, 13, 19, 23, 31, 43, 47, 61, 73, 83, 89, listed in A051635 of Sloane’s OEIS.

Title weak prime
Canonical name WeakPrime
Date of creation 2013-03-22 16:36:56
Last modified on 2013-03-22 16:36:56
Owner PrimeFan (13766)
Last modified by PrimeFan (13766)
Numerical id 4
Author PrimeFan (13766)
Entry type Definition
Classification msc 11A41
Related topic BalancedPrime
Related topic StrongPrime