A173880 - OEIS

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A173880

Primes p such that 5*p+2, 7*p+4 and 11*p+6 are also prime.

7, 61, 151, 157, 571, 997, 1447, 1831, 2251, 3121, 4057, 4177, 5011, 5737, 6907, 10321, 10357, 10567, 11941, 15601, 16477, 19267, 19597, 20347, 22447, 22531, 23131, 24121, 24337, 29587, 29641, 30181, 30817, 33577, 37201, 37447, 38671

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OFFSET

1,1

LINKS

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

MATHEMATICA

Select[Prime[Range[5000]], PrimeQ[5 # + 2] && PrimeQ[7 # + 4] && PrimeQ[11 # + 6] &] (* Vincenzo Librandi, Apr 10 2013 *)

Select[Prime[Range[5000]], AllTrue[{5#+2, 7#+4, 11#+6}, PrimeQ]&] (* Harvey P. Dale, Mar 30 2022 *)

PROG

(Magma) [p: p in PrimesUpTo(100000) | IsPrime(p) and IsPrime(5*p+2) and IsPrime(7*p+4) and IsPrime(11*p+6)];

CROSSREFS

Sequence in context: A157871 A043085 A079672 * A100698 A141952 A289723

Adjacent sequences: A173877 A173878 A173879 * A173881 A173882 A173883

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Mar 07 2010

STATUS

approved