MathDB
Diophantine Factorial

Source: BdMO 2023 Higher Secondary National P1

February 12, 2023
factorialnumber theoryDiophantine equation

Problem Statement

Find all possible non-negative integer solution (x,x, yy) of the following equation- x!+2y=z!x!+2^y=z! Note: x!=x⋅(x−1)!x!=x\cdot(x-1)! and 0!=10!=1. For example, 5!=5×4×3×2×1=1205!=5\times4\times3\times2\times1=120.
Back to ProblemsView on AoPS