it was simply a construction, which happened to be good to as far as I could take it (on some online calculator, as I recall) to the "heuristic" value in Ribbenboim. in other words, it was just lucky that I was serious student o'Bucky Fuller ... unlike most followers, because they believe Bucky's say-so, that math was unnecessary, even though he could do spherical trig, as the commander of a Naval vessel before radio.
do you find it surprising, that phi is involved?...
I wonder if the other guy has not already gotten a recurrence relation to generate the twin primes, akin to Lucas sequences.
yes, I'm sure it is the correct formula, although I would now put it somehwat differently, as an explicit "constitutional equation for Big Phi or Brun's constant," or how ever it should be said.