MathDB
A familiar NT construction

Source: 2023 IRN-SGP-TWN Friendly Math Competition P1

July 16, 2023
number theory

Problem Statement

Prove that there are infinitely many positive integers aa such that a!+(a+2)!∣(a+2⌊a⌋)!.a!+(a+2)!\mid (a+2\left\lfloor\sqrt{a}\right\rfloor)!.
Proposed by Navid and the4seasons.
Back to ProblemsView on AoPS