MathDB
I Got Six Consecutive Zeros on JMO!

Source: USAJMO 2016, Problem J2

April 19, 2016
AMCUSA(J)MOUSAJMO2016 USAJMO2016 USAJMO Problem 2

Problem Statement

Prove that there exists a positive integer n<106n < 10^6 such that 5n5^n has six consecutive zeros in its decimal representation.
Proposed by Evan Chen
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