[seqfan] Re: Goldbach-Yamada conjecture: a(n) > 0 for n >= 6.

Joerg Arndt arndt at jjj.de
Fri Jan 4 18:41:20 CET 2019


What about checking whether your message makes any sense whatsoever
before sending it to a list with many subscribers?

Helpfully yours,  jj

* юрий герасимов <2stepan at rambler.ru> [Jan 01. 2019 14:59]:
> Where a(n): 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 4, 4, 1, 1, 2, 3, 2, 4, ... is
> the number of products of 2 successive primes of the form 2*n-(some prime) and
> 2*n-(some semiprime). This conjecture represents the strengthening of Goldbach's
> conjecture and the explict version of Yamada's teorem (2015). Dear SeqFans, the
> proposed reformulation is useful or useless? Thanks You.
> 
> P.S. a(3) = 1 because if 2*3-3(some prime)=3 and 2*3-4(some semiprime)=2 then
> 3*2=6;
> 
> a(4) = 1 because if 2*4-5(some prime)=3 and 2*4-6(some semiprime)=2 then 3*2=6;
> 
> a(6) = 1 because if 2*6-7(some prime)=5 and 2*6-9(some semiprime)=3 then 5*3=15;
> 
> a(7) = 2 because if 2*7-11(some prime)=3 and 2*7-9(some semiprime)=5.
> 
> 2*7-7(some prime)=7 and 2*7-9(some semiprime)=5 then 3*5=15, 7*5=35, ...
> 
> EXAMPLE
> 
> Triangle begins:
> 
> --
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