MathDB
Number Theory

Source: Archimedes Junior 2011

March 16, 2020
number theory

Problem Statement

If the number 3n+13n +1, where n is integer, is multiple of 77, find the possible remainders of the following divisions: (a) of nn with divisor 77, (b) of nmn^{m} with divisor 77, for all values of the positive integer m,m>1m, m >1.