Proth number

A Proth number $p$ is a number of the form $k{2}^m+1$, where $k$ is odd (e.g., $k=2n+1$ with an integer $n>(-1)$), $m$ is also an integer and $2^m>k$. 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