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A136342 Prime numbers n such that n-x = prime, n-(x+2) = prime (twin primes #1) and n+x = prime, n+(x+2) = prime (twin primes #2). +0
1
11, 17, 23, 53, 71, 101, 137, 233, 263, 311, 431, 443, 617, 641, 647, 653, 743, 863, 941, 977, 1193, 1277, 1367, 1487, 1667, 1697, 1733, 1913, 2003, 2027, 2081, 2111, 2213, 2243, 2711, 2741, 2753, 2927, 3137, 3347, 3677, 3797, 3881, 4007 (list; graph; listen)
OFFSET

1,1

EXAMPLE

11-6=5, 11-8=3; 11+6=17, 11+8=19

MATHEMATICA

For[e = 3, e < 10^2, s = 0; a = Prime[e]; For[i = 1, i < a, If[PrimeQ[a - i - 2] && PrimeQ[a - i] && PrimeQ[a + i] && PrimeQ[a + i + 2], s = i]; i++ ]; If[ ! s == 0, Print[a, ", ", s] ]; e++ ]

CROSSREFS

Adjacent sequences: A136339 A136340 A136341 this_sequence A136343 A136344 A136345

Sequence in context: A031505 A094524 A098412 this_sequence A126609 A079367 A120139

KEYWORD

nonn

AUTHOR

Vladimir Orlovsky (4vladimir(AT)gmail.com), Mar 29 2008

EXTENSIONS

a(11)-a(44) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Apr 27 2008

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


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