This website contains problems from math contests. Problems and corresponding tags were obtained from the Art of Problem Solving website.

Tags were heavily modified to better represent problems.

AND
OR
NO

Found problems: 3

2017 Estonia Team Selection Test, 1
Do there exist two positive powers of $5$ such that the number obtained by writing one after the other is also a power of $5$?
number theory power of 5 modular arithmetic

2017 Estonia Team Selection Test, 1
Do there exist two positive powers of $5$ such that the number obtained by writing one after the other is also a power of $5$?
number theory power of 5 modular arithmetic

2004 Junior Balkan Team Selection Tests - Moldova, 5
The sequence of natural numbers $1, 5, 6, 25, 26, 30, 31,...$ is made up of powers of $5$ with natural exponents or sums of powers of $5$ with different natural exponents, written in ascending order. Determine the term of the string written in position $167$.
multiple number theory power of 5 sequences