A162866 Initial prime of exactly nine consecutive primes congruent to 3 modulo 4.

39607, 278051, 339863, 341827, 402371, 519587, 735211, 919423, 1123219, 1191643, 1263239, 1329763, 1635547, 1648919, 1737863, 1994119, 2191687, 2465227, 2566279, 3025423, 3101743, 3197899, 3306731, 3719467, 4259243, 4466411

Offset

1,1

Comments

The table provides all 8949 [=A092661(9)] terms less than 10^9.

If 10 or more consecutive primes are all congruent to 3 modulo 4, none of them is a member of this sequence. [From Harvey P. Dale, Oct 23 2011]

Links

Rick L. Shepherd, Table of n, a(n) for n=1..8949

Mathematica

m9Q[l_]:=Module[{ms=Mod[l, 4]}, First[ms]!=3&&Last[ms]!=3&&Union[ Take[ ms, {2, 10}]]=={3}]; Transpose[Select[Partition[Prime[Range[ 320000]], 11, 1], m9Q]][[2]] (* Harvey P. Dale, Oct 23 2011 *)

Crossrefs

Cf. A092661, A162865, A055624, A057619, A054678.

Sequence in context: A205283 A251354 A004671 * A236132 A204311 A235255

Adjacent sequences: A162863 A162864 A162865 * A162867 A162868 A162869

Keyword

nonn

Author

Rick L. Shepherd, Jul 15 2009

Status

approved