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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). 2
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified September 24 05:29 EDT 2021. Contains 347623 sequences. (Running on oeis4.)