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Part of 1947 Kurschak Competition

Problems(1)

46^{2n+1} + 296 x 13^{2n+1} is divisible by 1947

Source: 1947 Hungary - Kürschák Competition p1

10/9/2022
Prove that 462n+1+296⋅132n+146^{2n+1} + 296 \cdot 13^{2n+1} is divisible by 19471947.
number theorydividesdivisible