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A173628 Primes p such that p^3 + 6, p^3 + 12 and p^3 + 18 are all prime. 2
2351, 6991, 49451, 193751, 223781, 769781, 771431, 779341, 880211, 903871, 1064411, 1066231, 1383191, 1447151, 1745621, 1898371, 1974551, 1999511, 2015411, 2025421, 2435831, 2476421, 2695831, 2805911, 3531041, 3679121 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

All terms == 1 (mod 10). - Robert Israel, Mar 18 2020

LINKS

Robert Israel, Table of n, a(n) for n = 1..1000

MAPLE

filter:= t -> andmap(isprime, [t, t^3+6, t^3+12, t^3+18]):

select(filter, [seq(i, i=1..10^7, 10); # Robert Israel, Mar 18 2020

MATHEMATICA

Select[Prime[Range[300000]], AllTrue[#^3+{6, 12, 18}, PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, May 28 2019 *)

PROG

(MAGMA) [p: p in PrimesUpTo(1000000)|IsPrime(p^3+6) and IsPrime(p^3+12) and IsPrime(p^3+18)] // Vincenzo Librandi, Dec 13 2010

CROSSREFS

Cf. A173627 (p, p^2+6, p^2+12 and p^2+18 are all prime).

Sequence in context: A198047 A179137 A003552 * A130023 A219192 A234078

Adjacent sequences:  A173625 A173626 A173627 * A173629 A173630 A173631

KEYWORD

nonn

AUTHOR

Zak Seidov, Nov 09 2010

STATUS

approved

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Last modified May 24 14:36 EDT 2022. Contains 354037 sequences. (Running on oeis4.)