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A264790
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Numbers k such that k^2 + 17 is prime.
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1
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0, 6, 24, 60, 66, 78, 90, 108, 144, 162, 174, 186, 234, 252, 294, 300, 318, 330, 336, 342, 372, 396, 420, 438, 456, 462, 468, 498, 528, 594, 636, 648, 654, 672, 720, 750, 798, 804, 834, 858, 888, 924, 930, 966, 984, 990, 1014, 1026, 1032, 1086, 1158, 1194, 1200
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OFFSET
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1,2
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COMMENTS
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Primes of the form k^2 + 17 have a representation as a sum of 2 squares because they belong to A002144.
All terms are multiple of 6.
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LINKS
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FORMULA
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EXAMPLE
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a(3) = 24 because 24^2 + 17 = 593, which is prime.
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MATHEMATICA
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PROG
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(PARI) for(n=0, 1e3, if(isprime(n^2+17), print1(n, ", "))) \\ Altug Alkan, Nov 25 2015
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CROSSREFS
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Other sequences of the type "Numbers n such that n^2 + k is prime": A005574 (k=1), A067201 (k=2), A049422 (k=3), A007591 (k=4), A078402 (k=5), A114269 (k=6), A114270 (k=7), A114271 (k=8), A114272 (k=9), A114273 (k=10), A114274 (k=11), A114275 (k=12), A113536 (k=13), A121250 (k=14), A121982 (k=15), A122062 (k=16).
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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