[seqfan] Re: A182514(7)?

[John W. Nicholson]

Because A111870 also appears to be a subset of A205827, does the same observation hold for it? Maybe instead of A205827 the comment should have stated 'subset of A111870' which in turn is a subset of A205827?  

 
John W. Nicholson
On Friday, April 25, 2014 11:07 AM, Charles Greathouse <charles.greathouse at case.edu> wrote:
 
I should also mention that one of the comments appears to be wrong, or at
>least unproven. There's no reason to suppose, a priori, that this is a
>subsequence of A205827. Suppose p is in A182514, with the next prime q = p
>+ g (with g "unusually large"). Then it is plausible that some nearby prime
>p' followed by a prime q' = p' + g - 2 with p' not in A205827, but p' still
>in A182514.
>
>Extreme case: suppose the 10^100-th prime is followed by a gap of 10^50
>before the next prime, which is consistent with current knowledge (even
>under the RH). Clearly this prime is in A182514. But if the (10^100 +
>10)-th prime was followed by a gap of 'only' 10^49 it would still be in the
>sequence, even though it wouldn't be in A205827.
>
>Charles Greathouse
>Analyst/Programmer
>Case Western Reserve University
>
>
>
>On Fri, Apr 25, 2014 at 11:42 AM, Charles Greathouse <
>charles.greathouse at case.edu> wrote:
>
>> I think that it exists and is greater than 10^18.
>>
>> Charles Greathouse
>> Analyst/Programmer
>> Case Western Reserve University
>>
>>
>> On Fri, Apr 25, 2014 at 8:51 AM, John W. Nicholson <reddwarf2956 at yahoo.com
>> > wrote:
>>
>>> Has anyone got a clue as to the value of a(7) of A182514,
>>> https://oeis.org/A182514 , or even if it exist?
>>>
>>>
>>> John W. Nicholson
>>>
>>> _______________________________________________
>>>
>>> Seqfan Mailing list - http://list.seqfan.eu/
>>>
>>
>>
>
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