[seqfan] Re: Consecutive non-decreasing prime gaps

[Vladimir Shevelev]

Dear Zak,

Thank you for a fine question.
Although, it seems, there is no any research 
on this question, I think that it is natural
to conjecture that for every N there is
a set of M>N consecutive primes  with
non-decreasing gaps.

Best regards,
Vladimir
________________________________________
From: SeqFan [seqfan-bounces at list.seqfan.eu] on behalf of zak seidov via SeqFan [seqfan at list.seqfan.eu]
Sent: 16 May 2017 16:14
To: Sequence Fanatics Discussion list
Cc: zak seidov
Subject: [seqfan] Consecutive non-decreasing prime gaps

     13 consecutive primes
{6564959561, 6564959563, 6564959567, 6564959573, 6564959579, 6564959587, 6564959603, 6564959623, 6564959657, 6564959699, 6564959749, 6564959831, 6564959927}
with 12 non-decreasing consecutive gaps
{2, 4, 6, 6, 8, 16, 20, 34, 42, 50, 82, 96}.
13 consecutive primes starting with  24040740949 have
12 non-decreasing gaps:
{4, 6, 8, 12, 12, 12, 16, 18, 20, 22, 24, 36}.
Larger/longer such sets?Zak


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