A162865 Initial prime of exactly nine consecutive primes congruent to 1 modulo 4.

11593, 206953, 315257, 541097, 906541, 992393, 1124993, 1410361, 1595081, 1781569, 1872049, 2043329, 2090353, 2312749, 2381657, 2481509, 2497289, 2718389, 2758109, 2772409, 2976397, 3863473, 3868849, 4027957, 4042673

Offset

1,1

Comments

The table provides all 8919 [=A092660(9)] terms less than 10^9.

If 10 or more consecutive primes are all congruent to 1 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..8919

Mathematica

m9Q[l_]:=Module[{ms=Mod[l, 4]}, First[ms]!=1&&Last[ms]!=1&&Union[Take[ ms, {2, 10}]]=={1}]; Transpose[Select[Partition[ Prime[Range[ 290000]], 11, 1], m9Q]][[2]] (* Harvey P. Dale, Oct 23 2011 *)

Crossrefs

Cf. A092660, A162866, A055623, A057624, A054678.

Sequence in context: A203387 A218105 A226905 * A237534 A049051 A250242

Adjacent sequences: A162862 A162863 A162864 * A162866 A162867 A162868

Keyword

nonn

Author

Rick L. Shepherd, Jul 15 2009

Status

approved