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A137474
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Prime numbers n such that n^3-(n-1)^2 and n^3+(n-1)^2 are also primes.
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0
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3, 7, 13, 73, 97, 157, 523, 1483, 1993, 2521, 3967, 5641, 6607, 7717, 8761, 9397, 11821, 11971, 12241, 12613, 13597, 14083, 15511, 16231, 16411, 17203, 17293, 19801, 23143, 23167, 23857, 28123, 29173, 29881, 30391, 31477, 31723, 32323
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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EXAMPLE
| n=7: 7^3-(7-1)^2 = 307 is prime and 7^3+(7-1)^2 = 379 is prime, hence 7 is in the sequence.
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MATHEMATICA
| Select[Prime[Range[900]], PrimeQ[ #^3-(#-1)^2]&&PrimeQ[ #^3+(#-1)^2]&]
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PROG
| (MAGMA) [ n: n in PrimesUpTo(40000) | IsPrime(n^3-(n-1)^2) and IsPrime(n^3 +(n-1)^2) ]; [From Vincenzo Librandi, Nov 24 2010]
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CROSSREFS
| Sequence in context: A176903 A004060 A028491 * A071087 A038691 A082718
Adjacent sequences: A137471 A137472 A137473 * A137475 A137476 A137477
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KEYWORD
| nonn
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AUTHOR
| Vladimir Orlovsky (4vladimir(AT)gmail.com), Apr 21 2008
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EXTENSIONS
| More terms from Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 26 2010
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