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A137474
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Prime numbers p such that p^3 - (p-1)^2 and p^3 + (p-1)^2 are also primes.
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1
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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
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OFFSET
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1,1
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LINKS
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EXAMPLE
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p=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
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Select[Prime[Range[900]], PrimeQ[ #^3-(#-1)^2]&&PrimeQ[ #^3+(#-1)^2]&]
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PROG
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(Magma) [ n: n in PrimesUpTo(40000) | IsPrime(n^3-(n-1)^2) and IsPrime(n^3 +(n-1)^2) ]; // Vincenzo Librandi, Nov 24 2010
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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