[seqfan] Re: Balanced Sophie Germain primes of zero order.

Emmanuel Vantieghem emmanuelvantieghem at gmail.com
Mon Sep 19 15:31:04 CEST 2016


I think the SG primes  23, 28, 89  and  743  should not appear in the list.
Indeed :
23 = (5  + 41)/2
29 = (5  + 53)/2
89 = (5  + 173)/2
743 = (5  + 1481)/2.
But there are no further SG primes < 1700000000  that are balanced SG
primes of zero order.

2016-09-18 8:42 GMT+02:00 Zak Seidov via SeqFan <seqfan at list.seqfan.eu>:

>  Sophie Germain primes which are not the average of any pair of other SG
> primes.
>
> 2, 3, 5, 11, 23, 29, 89, 179, 239, 293, 359, 683, 743, 5639
>
> May be coined as  "Balanced SG primes of zero order".
> Is the sequence finite and full?
> What about SG primes which are not the average of three (or more) SG
> primes?
> Cf. A005384 Sophie Germain primes.
>
> --
> Zak  Seidov
>
> --
> Seqfan Mailing list - http://list.seqfan.eu/
>


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