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, 4375141, 4464841, 4547581, 4606153

Offset: 1

Author

Rick L. Shepherd, Jul 15 2009

Keywords

• nonn
• changed

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. - Harvey P. Dale, Oct 23 2011

Links

• Rick L. Shepherd, Table of n, a(n) for n=1..8919

Crossrefs

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

Programs

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 *)