automorphic number

Given a base b integer


where d1 is the least significant digit and dk is the most significant, if it’s also the case that the k least significant digits of mn2 are the same of those of n, then n is called an automorphic number, or an m-automorphic number.

Neither b nor b+1 can be 1-automorphic in base b.

Title automorphic number
Canonical name AutomorphicNumber
Date of creation 2013-03-22 16:20:17
Last modified on 2013-03-22 16:20:17
Owner CompositeFan (12809)
Last modified by CompositeFan (12809)
Numerical id 5
Author CompositeFan (12809)
Entry type Definition
Classification msc 11A63