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A136207 Primes p such that p-6 or p+6 is prime. +0
2
5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 131, 137, 151, 157, 163, 167, 173, 179, 191, 193, 197, 199, 223, 227, 229, 233, 239, 251, 257, 263, 269, 271, 277, 283, 307, 311, 313, 317, 331, 337 (list; graph; listen)
OFFSET

1,1

LINKS

Eric Weisstein's World of Math, Sexy Primes

Wikipedia, Sexy Primes

MATHEMATICA

dd = 6; DistancePrimesQ1 = (PrimeQ[ # ] && PrimeQ[ # + dd]) &; DistancePrimesQ2 = (PrimeQ[ # ] && PrimeQ[ # - dd] && (# > dd)) &; DistancePrimesQQ = (DistancePrimesQ1[ # ] || DistancePrimesQ2[ # ]) &; DistancePrimes = Select[Range[ # ], DistancePrimesQQ] &; DistancePrimes[1000]

CROSSREFS

Cf. A023201, A046117.

Adjacent sequences: A136204 A136205 A136206 this_sequence A136208 A136209 A136210

Sequence in context: A135775 A066047 A020626 this_sequence A020624 A020621 A020630

KEYWORD

nonn

AUTHOR

Carlos Alves (cjsalves(AT)gmail.com), Dec 21 2007

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Last modified January 7 17:35 EST 2009. Contains 152824 sequences.


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