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A162866 Initial prime of exactly nine consecutive primes congruent to 3 modulo 4. 3
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified July 30 17:21 EDT 2021. Contains 346359 sequences. (Running on oeis4.)