Proth number


A Proth number p is a number of the form k2m+1, where k is odd (e.g., k=2n+1 with an integer n>(-1)), m is also an integer and 2m>k. The first few Proth numbers are 3, 5, 9, 13, 17, 25, 33, 41, 49, 57, 65, 81, 97, 113, 129, 145, 161, 177, 193, etc. (listed in A080075 of Sloane’s OEIS). The Fermat numbers are a subset of the Proth numbers, namely with k=1.

Title Proth number
Canonical name ProthNumber
Date of creation 2013-03-22 17:21:09
Last modified on 2013-03-22 17:21:09
Owner PrimeFan (13766)
Last modified by PrimeFan (13766)
Numerical id 4
Author PrimeFan (13766)
Entry type Definition
Classification msc 11A51