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 2018-03-15, 10:13 #1 JeppeSN     "Jeppe" Jan 2016 Denmark A016 Posts Smallest prime of the form a^2^m + b^2^m, m>=14 I was creating a new OEIS entry as a kind of procrastination... I wonder what the first (probable) prime of the form $$a^{16384}+b^{16384}$$ is. Since this type of (extended) generalized Fermat numbers is mentioned in many sources (in the web), I would think someone had determined the answer? I had no lucky googling. For each $$m<14$$, brute force will relatively early find a probable prime $$a^{2^m}+b^{2^m}$$. The last of these is $$72^{8192} + 43^{8192}$$ which can be found i Caldwell's database: 72^8192 + 43^8192 So what about $$m \ge 14$$? /JeppeSN