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.

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NO:

Found problems: 3

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

2004 Junior Balkan Team Selection Tests - Moldova, 5
Tags: number theory , multiple , power of 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 $167$.

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