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A207261
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Primes of the form x^(2*y) + y^(2*x), for x and y > 1.
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1
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10657, 274200257, 304606801, 92205451297, 22876799984497, 1853020205629057, 59604706692754849, 523348059906214747850254177, 144226335084562589858781936977, 25053659285408524696023221081716801, 100000000000037589973457545958193355601
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OFFSET
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1,1
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COMMENTS
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If x or y = 1, we obtain primes of the form x^2 + 1 (or y^2 + 1) corresponding to the sequence A002496(n). The first value of this sequence, a(1) = 10657, is not of the form x^2 + 1.
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LINKS
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EXAMPLE
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10657 is in the sequence because if (x,y) = (3,4), then 3^(2*4) + 4^(2*3) = 6561 + 4096 = 10657.
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MATHEMATICA
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a={}; Do[Do[k=x^(2*y)+y^(2*x); If[PrimeQ[k], AppendTo[a, k]], {x, 2, y}], {y, 2, 200}]; Union[a]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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