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

[юрий герасимов]

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: