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A006313
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Numbers n such that n^16 + 1 is prime.
(Formerly M2164)
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43
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1, 2, 44, 74, 76, 94, 156, 158, 176, 188, 198, 248, 288, 306, 318, 330, 348, 370, 382, 396, 452, 456, 470, 474, 476, 478, 560, 568, 598, 642, 686, 688, 690, 736, 774, 776, 778, 790, 830, 832, 834, 846, 900, 916, 946, 956, 972, 982, 984, 1018, 1044, 1078
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OFFSET
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1,2
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REFERENCES
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Dubner, Harvey. "Generalized Fermat primes." J. Recreational Math., 18 (1985): 279-280.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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MATHEMATICA
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s=Reap[Sow[1]; Do[If[PrimeQ[n^16+1], Sow[n]], {n, 2, 40352, 2}]][[2, 1]] (* Zak Seidov, Dec 22 2010 *)
Join[{1}, 2*Flatten[Position[Range[2, 1100, 2]^16+1, _?PrimeQ]]] (* Harvey P. Dale, Jun 26 2017 *)
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PROG
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CROSSREFS
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Cf. A005574, A000068, A006314, A006315, A006316, A056994, A056995, A057465, A057002, A088361, A088362, A226528, A226529, A226530, A251597, A253854, A244150, A243959, A321323.
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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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