The On-Line Encyclopedia of Integer Sequences (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).
(history; published version)

#7 by Harvey P. Dale at Thu Sep 10 13:00:07 EDT 2015

STATUS

editing

approved

#6 by Harvey P. Dale at Thu Sep 10 12:59:54 EDT 2015

MATHEMATICA

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

STATUS

approved

editing

#5 by N. J. A. Sloane at Thu Aug 16 23:16:41 EDT 2012

STATUS

proposed

approved

#4 by Zak Seidov at Thu Aug 16 22:20:00 EDT 2012

STATUS

editing

proposed

#3 by Zak Seidov at Thu Aug 16 22:19:48 EDT 2012

COMMENTS

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

LINKS

Zak Seidov, <a href="/A215599/b215599.txt">Table of n, a(n) for n = 1..200</a>

#2 by Zak Seidov at Thu Aug 16 22:15:25 EDT 2012

NAME

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

DATA

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.

EXAMPLE

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

KEYWORD

allocated

nonn

AUTHOR

Zak Seidov, Aug 16 2012

STATUS

approved

editing

#1 by Zak Seidov at Thu Aug 16 22:15:25 EDT 2012

NAME

allocated for Zak Seidov

KEYWORD

allocated

STATUS

approved