A153119 Primes p such that p^2 +- 30 are also primes.

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

Offset

1,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Mathematica

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 *)

Prog

(Magma) [p: p in PrimesUpTo(11000) | IsPrime(p^2+30) and IsPrime(p^2-30)]; // Vincenzo Librandi, Apr 08 2013

Crossrefs

Cf. A153116.

Sequence in context: A374727 A219501 A267310 * A166703 A116522 A320462

Adjacent sequences: A153116 A153117 A153118 * A153120 A153121 A153122

Keyword

nonn,easy

Author

Vladimir Joseph Stephan Orlovsky, Dec 18 2008

Status

approved