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A079796
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Primes p such that (3*p)^2 + p^2 + 3^2 and (3*p)^2 - p^2 - 3^2 are both prime.
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0
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7, 29, 83, 181, 197, 337, 601, 631, 1303, 1847, 2029, 3023, 3109, 3359, 4591, 4649, 4831, 6397, 6791, 7489, 7559, 7573, 7951, 8609, 8933, 9857, 10151, 10457, 10501, 10709, 11467, 11633, 12011, 12377, 12641, 12739, 13469, 14197, 14449, 14519
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Also called nonomatic primes. There is probably an infinity of them. There seems to be no prime number with a similar property using 5 or a larger factor in the polynomials.
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EXAMPLE
| a(2) = 29 since (3*29)^2 + 29^2 + 3^2 = 8419 and (3*29)^2 - 29^2 - 3^2 = 6719 are both primes.
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CROSSREFS
| Sequence in context: A185438 A176616 A141854 * A114043 A166189 A001779
Adjacent sequences: A079793 A079794 A079795 * A079797 A079798 A079799
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KEYWORD
| easy,nonn
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AUTHOR
| Olivier Gerard (olivier.gerard(AT)gmail.com), Feb 19 2003
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