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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
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
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
KEYWORD
nonn
AUTHOR
Rick L. Shepherd, Jul 15 2009
STATUS
approved