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A023241
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Primes that remain prime through 2 iterations of function f(x) = x + 6.
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10
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5, 7, 11, 17, 31, 41, 47, 61, 67, 97, 101, 151, 167, 227, 251, 257, 271, 347, 367, 557, 587, 601, 607, 641, 647, 727, 941, 971, 1091, 1097, 1117, 1181, 1217, 1277, 1291, 1361, 1427, 1447, 1481, 1487, 1601, 1607, 1657, 1741, 1747, 1777, 1861, 1867, 1901, 1987
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OFFSET
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1,1
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COMMENTS
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Primes p such that p+6 and p+12 are also primes.
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LINKS
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MATHEMATICA
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triq[p_] := And[PrimeQ[p + 6], PrimeQ[p + 12]]; Select[Prime[Range[1000]], triq] (* Ben Branman, Sep 03 2012 *)
nrpQ[n_]:=AllTrue[Rest[NestList[#+6&, n, 2]], PrimeQ]; Select[Prime[Range[ 300]], nrpQ] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Jan 27 2021 *)
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PROG
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(Magma) [n: n in [0..1000] | IsPrime(n) and IsPrime(n+6) and IsPrime(n+12)] // Vincenzo Librandi, Nov 20 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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STATUS
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approved
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