MathDB
Perfect squares in base 4 with only digits 1 and 2

Source: 2021 MEMO T-8

September 5, 2021
number theoryDigitsPerfect SquaresmemoMEMO 2021

Problem Statement

Prove that there are infinitely many positive integers nn such that n2n^2 written in base 44 contains only digits 11 and 22.
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