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, 4498883, 4591507, 4680503, 5031863

Offset: 1

Author

Rick L. Shepherd, Jul 15 2009

Keywords

• nonn
• changed

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. - Harvey P. Dale, Oct 23 2011

Links

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

Crossrefs

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

Programs

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 *)