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

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

Sequence in context: A237305 A251826 A237461 * A330508 A204395 A181261

Adjacent sequences: A215596 A215597 A215598 * A215600 A215601 A215602

Keyword

nonn

Author

Zak Seidov, Aug 16 2012

Status

approved