[seqfan] A conjecture for double primes

[Vladimir Shevelev]

Dear Seqfans,

In new sequence A241535,  I posed a conjecture:  every even semiprime more than 22 is a sum of two semiprimes. 
If for a given sufficiently large two primes p_1 and p_2  there exists a number h such that either  p_1 - h, p_2+h
or p_1 + h, p_2 - h are both semiprimes, then the conjecture essentially follows from the Goldbach binary conjecture for even numbers. Maybe, simpler, at least for sufficiently large prime p, there exists h, such that
both of numbers p-h, p+h are semiprimes.

Best regards,
Vladimir