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BALTIC-WAY 2002 Problem 16

  • Answer

Find all nonnegative integers mm such that

am=(22m+1)2+1a_{m}=\left(2^{2 m+1}\right)^{2}+1

is divisible by at most two different primes.

Dataset text NuminaMath olympiads. Quoted with source.

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m=0,1,2

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