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A153119
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Primes p such that p^2 +- 30 are also primes.
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8
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7, 13, 47, 79, 113, 251, 317, 397, 547, 719, 1013, 1153, 2113, 2141, 2179, 2267, 2309, 2749, 3271, 3557, 3631, 3739, 4243, 4783, 4919, 5399, 5563, 5881, 5927, 6389, 6701, 7229, 7351, 7547, 7691, 7741, 7817, 8191, 8269, 8779, 8807, 9067, 9133, 9277, 10067
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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^2-30]&&PrimeQ[n^2+30]; lst={}; Do[If[fQ@Prime[n], AppendTo[lst, Prime[n]]], {n, 7!}]; lst
Select[Prime[Range[2000]], PrimeQ[#^2 + 30] && PrimeQ[#^2 -30]&] (* Vincenzo Librandi, Apr 08 2013 *)
Select[Prime[Range[1500]], AllTrue[#^2+{30, -30}, PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Sep 13 2019 *)
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PROG
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(Magma) [p: p in PrimesUpTo(11000) | IsPrime(p^2+30) and IsPrime(p^2-30)]; // Vincenzo Librandi, Apr 08 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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