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A153591
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Primes p such that 6p^2+6p+1 is also prime.
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1
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2, 3, 5, 7, 13, 19, 23, 31, 41, 43, 47, 67, 73, 97, 101, 107, 109, 137, 151, 199, 233, 239, 241, 251, 263, 283, 317, 331, 337, 353, 359, 379, 383, 419, 421, 431, 439, 449, 463, 541, 569, 571, 577, 601, 619, 647, 691, 701, 769, 823, 839, 877, 907, 929, 953, 971
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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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For p = 2, 6p^2+6p+1 = 37 is prime; for p = 47, 6p^2+6p+1 = 13537 is prime.
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MATHEMATICA
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Select[Prime[Range[200]], PrimeQ[6#^2 + 6# + 1] &] (* Vincenzo Librandi, Oct 15 2012 *)
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PROG
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(Magma) [ p: p in PrimesUpTo(1000) | IsPrime(6*p^2+6*p+1) ];
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CROSSREFS
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Cf. A007693 (n and 6n+1 are primes), A153812 (primes p such that 6*p^2+1 is also prime).
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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