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A173629 Numbers k with property that p = 10k + 1, p^3 + 6, p^3 + 12 and p^3 + 18 are all prime. 0
235, 699, 4945, 19375, 22378, 76978, 77143, 77934, 88021, 90387, 106441, 106623, 138319, 144715, 174562, 189837, 197455, 199951, 201541, 202542, 243583, 247642, 269583, 280591, 353104, 367912, 418389, 449980, 456376, 484704, 504727, 506923 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..32.

MATHEMATICA

okQ[n_]:=Module[{n3=n^3}, And@@PrimeQ[{n3+6, n3+12, n3+18}]]

Floor[#/10]&/@Select[Select[Table[10n+1, {n, 0, 600000}], PrimeQ], okQ] (* Harvey P. Dale, Dec 16 2010 *)

PROG

(MAGMA) [n: n in [0..600000]| IsPrime(10*n+1) and IsPrime(1000*n^3+300*n^2 +30*n+7) and IsPrime(1000*n^3+300*n^2+30*n+13) and IsPrime(1000*n^3+ 300*n^2+30*n+19)] // Vincenzo Librandi, Dec 13 2010

CROSSREFS

a(n) = (A173628(n) - 1)/10.

Sequence in context: A132903 A247474 A147148 * A097487 A091427 A068663

Adjacent sequences:  A173626 A173627 A173628 * A173630 A173631 A173632

KEYWORD

nonn

AUTHOR

Zak Seidov, Nov 09 2010

STATUS

approved

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Last modified May 9 19:07 EDT 2021. Contains 343746 sequences. (Running on oeis4.)