A153166 Numbers n with property that 6n+1 is prime and uses only digits 2 and 3.

37, 5372, 5387, 5537, 38722, 38887, 53872, 388722, 388887, 537037, 537222, 538887, 555372, 3703887, 3705372, 3705387, 3870372, 3870537, 3887037, 5387037, 5537037, 37220537, 37222222, 38705372, 38705537, 38870372, 38870537, 53703887

Offset

1,1

Comments

a*n)=(A153165(n)-1)/6.

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Mathematica

pd23Q[n_]:=Module[{c=6n+1}, PrimeQ[c]&&Union[IntegerDigits[c]]=={2, 3}]; Select[ Range[ 54000000], pd23Q] (* Harvey P. Dale, Feb 08 2013 *)
Table[Select[(#-1)/6&/@Select[FromDigits/@Tuples[{2, 3}, n], OddQ[#] && PrimeQ[ #]&], IntegerQ], {n, 9}]//Flatten (* Harvey P. Dale, Oct 04 2016 *)

Crossrefs

A153165

Sequence in context: A219409 A232302 A363871 * A153168 A195215 A183481

Adjacent sequences: A153163 A153164 A153165 * A153167 A153168 A153169

Keyword

nonn,base

Author

Zak Seidov, Dec 20 2008

Status

approved