[seqfan] Re: A182514(7)?

[Charles Greathouse]

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/
>>
>
>