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A153118
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Primes p such that p^2 +- 18 are also primes.
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1
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5, 7, 11, 17, 29, 41, 43, 59, 71, 83, 223, 283, 311, 347, 389, 433, 479, 601, 619, 881, 907, 967, 983, 991, 1039, 1093, 1151, 1471, 1567, 1723, 1873, 1877, 1907, 1931, 1933, 1987, 2309, 2531, 2953, 3037, 3461, 3539, 3853, 4001, 4003, 4007, 4073, 4091, 4253
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OFFSET
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1,1
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LINKS
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MATHEMATICA
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fQ[n_]:=PrimeQ[n^2-18]&&PrimeQ[n^2+18]; lst={}; Do[If[fQ@Prime[n], AppendTo[lst, Prime[n]]], {n, 7!}]; lst
Select[Prime[Range[700]], And@@PrimeQ/@{#^2+18, #^2-18}&] (* Harvey P. Dale, Mar 12 2011 *)
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PROG
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(Magma) [p: p in PrimesUpTo(4500) | IsPrime(p^2-18) and IsPrime(p^2+18)]; // Vincenzo Librandi, Apr 09 2013
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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