Strongly semiprimes p
* q for which p <= q < p^3 are explained in the sequence
A362910.
Let SP(A,B) the number
of strongly semiprimes between A and B and PI(A,B) the number of primes
also between A and B. We conjecture that:
The ratio R(A,B) =
SP(A,B) / PI(A,B) is converging to log(3) = 1.0986.. (with a
sufficiently representative sample [A,B]).
For example, I
computed with B-A = 2*10^6 :
A=10^9 ;
SP=104445 ; PI=96417 ; R=1.08326
A=10^12 ;
SP=79196 ; PI=72413 ; R=1.09367
A=10^18 ;
SP=52850 ; PI=48427 ; R=1.09133
A=10^30 ;
SP=31729 ; PI=29054 ; R=1.09207
Q1. Send your
own verifications.
Q2. Can you
prove this conjecture?
