lucky prime


A lucky prime is a lucky number that is also a prime numberMathworldPlanetmath. So, in a sense, such numbers are doubly “lucky” because they’ve survived two different sieves. The first few are 3, 7, 13, 31, 37, 43, 67, 73, 79, 127, 151, 163 (http://planetmath.org/OneHundredSixtyThree), 193, etc., listed in A031157 of Sloane’s OEIS. It’s known that there are infinitely many primes and it’s known that there are infinitely many lucky numbers, but it’s not known if there are infinitely many lucky primes.

Title lucky prime
Canonical name LuckyPrime
Date of creation 2013-03-22 16:55:31
Last modified on 2013-03-22 16:55:31
Owner PrimeFan (13766)
Last modified by PrimeFan (13766)
Numerical id 4
Author PrimeFan (13766)
Entry type Definition
Classification msc 11A41