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A049408
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Numbers k such that k^4 + k + 1 is prime.
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14
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1, 2, 5, 6, 9, 11, 12, 14, 24, 26, 32, 36, 44, 47, 60, 69, 72, 74, 77, 89, 90, 102, 107, 119, 126, 131, 146, 147, 159, 162, 170, 171, 186, 191, 197, 204, 206, 219, 239, 240, 252, 266, 284, 285, 290, 296, 300, 324, 347, 351, 362, 384, 426, 437, 459, 465, 470
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OFFSET
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1,2
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COMMENTS
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For s = 5,8,11,14,17,20,..., n_s = 1 + n + n^s is always composite for any n > 1. Also for n=1, n_s=3 is a prime for any s. Here we consider the case s=4.
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LINKS
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EXAMPLE
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26 is a term because at s=4, n=26, n_s = 1 + n + n^s = 457003 is a prime.
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MATHEMATICA
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PROG
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(PARI) for(n=1, 1000, if(isprime(1+n+n^4), print1(n", ")))
(Magma) [n: n in [0..1000] | IsPrime(s) where s is 1+n+n^4]; // Vincenzo Librandi, Jul 28 2014
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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