[seqfan] Re: Consecutive Sophie Germain primes with the same gap
Harvey P. Dale
hpd at hpdale.org
Fri Sep 16 19:42:59 CEST 2016
There is no set of six consecutive SG primes up to the 50 millionth prime.
Best,
Harvey
-----Original Message-----
From: SeqFan [mailto:seqfan-bounces at list.seqfan.eu] On Behalf Of Neil Fernandez
Sent: Friday, September 16, 2016 1:11 PM
To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
Subject: [seqfan] Re: Consecutive Sophie Germain primes with the same gap
Hi,
In message <CABxCbJ2TuYVFP43EWg1w_VVx2K9UO=bijnmUDtBSO0caF+-BYw at mail.gma
il.com>, M. F. Hasler <oeis at hasler.fr> writes
>Zak,
>I edited oeis.org/A074259 (gaps between SG primes) and added your
>observation in a comment.
>Best,
>M.
>
>On Fri, Sep 16, 2016 at 4:25 AM, Zak Seidov via SeqFan <
>seqfan at list.seqfan.eu> wrote:
>
>> The first four SG primes with the same gap:
>>
>> A005384(4096..4099) = { 467471, 467531, 467591, 467651} with gap=60.
That is the second set. The first four are
A005384(85..88) = {3299, 3329, 3359, 3389} with gap 30.
>> Are there five {or more) consecutive SG primes with the same gap?
Yes. The first set with five is
A005384(29952..29956) = {4866623, 4866773, 4866923, 4867073, 4867223} with gap 150.
Neil
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Neil Fernandez
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