olymmath

TW-TST 1997 Problem 4

    Let k=22n+1k=2^{2^{n}}+1 for some n∈Nn\in\mathbb{N} . Show that kk is prime iff k∣3k−12+1k|3^{\frac{k-1}{2}}+1 .

    Dataset text AI-MO AoPS. Quoted with source.

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