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A244377
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Numbers k such that 1 + k + k^3 + k^5 + k^7 + k^9 + ... + k^15 is prime.
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2
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2, 3, 15, 26, 30, 42, 63, 77, 107, 114, 123, 131, 143, 149, 173, 177, 212, 288, 297, 308, 309, 348, 411, 474, 548, 551, 600, 659, 681, 701, 705, 711, 770, 780, 788, 833, 840, 894, 927, 1011, 1016, 1059, 1064, 1082, 1092, 1104, 1178, 1239, 1290, 1400, 1422
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listen;
history;
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internal format)
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OFFSET
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1,1
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 1..1100
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MATHEMATICA
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Select[Range[5000], PrimeQ[Total[#^Range[1, 15, 2]] + 1]&]
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PROG
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(Magma) [n: n in [0..1500] | IsPrime(s) where s is 1+&+[n^i: i in [1..15 by 2]]];
(Sage)
i, n = var('i, n')
[n for n in (1..2000) if is_prime(1+(n^(2*i+1)).sum(i, 0, 7))] # Bruno Berselli, Jun 27 2014
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CROSSREFS
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Cf. similar sequences listed in A244376.
Sequence in context: A162890 A030072 A064219 * A244330 A342867 A060753
Adjacent sequences: A244374 A244375 A244376 * A244378 A244379 A244380
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KEYWORD
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nonn,easy
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AUTHOR
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Vincenzo Librandi, Jun 27 2014
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STATUS
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approved
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