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A272629
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Primes p such that (p^2 + p + 1)/13 is prime.
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1
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29, 113, 419, 503, 659, 887, 1277, 1361, 1433, 2141, 2213, 2687, 3851, 4007, 4397, 4787, 5333, 5417, 5573, 7127, 7757, 7829, 8609, 8693, 8849, 9161, 9311, 9623, 10247, 10487, 11261, 11423, 12197, 12743, 13217, 13523, 14537, 14621, 14771, 15083, 15161
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OFFSET
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1,1
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COMMENTS
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LINKS
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EXAMPLE
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a(1) = 29 because (29^2+29+1)/13 = 67 is a prime.
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MATHEMATICA
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Select[Prime[Range[5000]], PrimeQ[(#^2 + # + 1) / 13] &]
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PROG
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(PARI) lista(nn) = {forprime(p=2, nn, if ((denominator(q=(p^2 + p + 1)/13)== 1) && isprime(q), print1(p, ", ")); ); } \\ Michel Marcus, May 05 2016
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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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