[seqfan] Re: Could I add this conjecture to A004767 4*n+3?

[M. F. Hasler]

Dear all,
I propose the new sequence
A245203: Least k>=0 such that A004767(n) = 4n+3 is the mean of primes
4(n-k)+3 and 4(n+k)+3; or -1 if no such k exists.
I put a link to Mike's initial post to the SeqFan list.
I also propose a link to that sequence in A002145 .
I'm not sure what precisely is meant by "It is conjectured", feel free
to amend if there's an earlier reference to that conjecture.

Maximilian

On Fri, Jul 11, 2014 at 2:09 AM, Tw Mike <mt.kongtong at gmail.com> wrote:
> Thanks. A002145 is very interesting. I'll try to add this conjecture to
> A002145.
>
> Yours mike,
>
>
> 2014-07-10 23:24 GMT+08:00 Frank Adams-Watters <franktaw at netscape.net>:
>
>> I would think that A002145 would be a better place for it.
>>
>> Franklin T. Adams-Watters
>>
>>
>> -----Original Message-----
>> From: Tw Mike <mt.kongtong at gmail.com>
>> To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
>> Sent: Thu, Jul 10, 2014 7:41 am
>> Subject: [seqfan] Could I add this conjecture to A004767 4*n+3?
>>
>>
>> Dear seqfans,
>>
>> A004767 4*n+3:
>> 3, 7, 11, 15, 19, 23, 27, 31, 35, 39, ...
>>
>> It is conjectured that A004767(n) either is a prime or is the average of
>> two primes which are terms of this sequence.
>>
>> Joerg says this sequence is hardly about primes. Could I add this
>> conjecture to A004767?
>>
>> Yours mike,