login
A185941
First of a run of 4 or more consecutive primes which all equal 2 (mod 3).
3
251, 1493, 1889, 1901, 2393, 2399, 4373, 4391, 4451, 4673, 4679, 5237, 5351, 5381, 6311, 7079, 7103, 7793, 7817, 7823, 7883, 8111, 9203, 9209, 9467, 9473, 9833, 10181, 11393, 11783, 11789, 12113, 12641, 12647, 12653, 12923, 13103, 13451, 14741, 15749
OFFSET
1,1
COMMENTS
Subsequence of terms of A185938 such that A185938(k+1) = nextprime(A185938(k)).
LINKS
MATHEMATICA
pr6Q[l_]:=And@@(Mod[#, 3]==2&/@l)
Transpose[Select[Partition[Prime[Range[2000]], 4, 1], pr6Q]][[1]] (* Harvey P. Dale, Feb 13 2011 *)
Prime[#]&/@(SequencePosition[Mod[#, 3]&/@Prime[Range[2000]], {2, 2, 2, 2}][[;; , 1]]) (* Harvey P. Dale, Jan 26 2024 *)
PROG
(PARI) s=Mod([1, 1, 1, 1]*2, 3); o=vector(#s); i=0; forprime(p=1, 1e4, o[i++%#o+1]=p; o-s|print1(o[(i+1)%#o+1]", "))
CROSSREFS
Cf. A185938.
Sequence in context: A339182 A008917 A025396 * A215607 A099734 A054800
KEYWORD
nonn
AUTHOR
M. F. Hasler, Feb 06 2011
STATUS
approved