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A162865
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Initial prime of exactly nine consecutive primes congruent to 1 modulo 4.
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3
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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
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OFFSET
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1,1
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COMMENTS
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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]
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LINKS
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Rick L. Shepherd, Table of n, a(n) for n=1..8919
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MATHEMATICA
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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]] (* From Harvey P. Dale, Oct 23 2011 *)
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CROSSREFS
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Cf. A092660, A162866, A055623, A057624, A054678.
Sequence in context: A184685 A203387 A218105 * A049051 A154053 A151600
Adjacent sequences: A162862 A162863 A162864 * A162866 A162867 A162868
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KEYWORD
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nonn
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AUTHOR
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Rick L. Shepherd, Jul 15 2009
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STATUS
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approved
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