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2

Part of 2021 Miklós Schweitzer

Problems(1)

Exponential and Factorial Diophantine Equation

Source: 2021 Miklos Schweitzer, P2

11/2/2021
Prove that the equation 2x+5y−31z=n! 2^x + 5^y - 31^z = n! has only a finite number of non-negative integer solutions x,y,z,nx,y,z,n.
factorialDiophantine equationnumber theory