A215599 - OEIS

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A215599

Primes p such that six consecutive primes starting with p are congruent to {1,2,3,4,5,6} (mod 7).

61223, 146609, 756533, 891997, 901657, 1532413, 1988897, 2168377, 2563079, 4086713, 4593037, 4815329, 5088679, 7009801, 10973159, 14185781, 14427421, 15895657, 16100141, 17178281, 18258143, 19014451, 19164923, 19474463, 21175309, 22033481, 23834791, 23946469

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OFFSET

1,1

COMMENTS

Indices of primes are 6162, 13559, 60723, 70703, 71398, 116434, 148157, 160516, 187349, 288894.

LINKS

Zak Seidov, Table of n, a(n) for n = 1..200

EXAMPLE

Prime(6162..6167) = {61223, 61231, 61253, 61261, 61283, 61291} == {1,2,3,4,5,6} (mod 7)

MATHEMATICA

Transpose[Select[Partition[Prime[Range[1600000]], 6, 1], Mod[#, 7] == Range[ 6]&]] [[1]] (* Harvey P. Dale, Sep 10 2015 *)

CROSSREFS