[seqfan] Re: Balanced Sophie Germain primes of zero order.
Zak Seidov
zakseidov at mail.ru
Tue Sep 20 16:06:59 CEST 2016
Yes, you are right:
for some crazy reason I excluded 5 as summand :(
>Понедельник, 19 сентября 2016, 16:31 +03:00 от Emmanuel Vantieghem <emmanuelvantieghem at gmail.com>:
>
>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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