Tuesday, February 02, 2010
JSH: Twin primes literature, Ribenboim
It's weird how mathematicians screwed up twin primes. Looking at MathWorld on their twin primes article I can find the probabilistic formula wrapped up in an equation attributed to Ribenboim:
http://mathworld.wolfram.com/TwinPrimes.html
eqn: (3)
Looking at it, it appears that they tossed in the prime distribution, clearly seen squared, of all things, with x/ln x. And you have the probability formula wrapped up in there:
((p_j - 2)/(p_j -1))*((p_{j-1} - 2)/(p_{j-1} - 1))*…*(1/2)
where you can see it by simplifying 1 - 1/(p-1)^2, as that's p(p-2)/(p-1)^2, so you get this excess p/(p-1).
What a nutty mess!
How did that dingbat come up with that crap?
http://mathworld.wolfram.com/TwinPrimes.html
eqn: (3)
Looking at it, it appears that they tossed in the prime distribution, clearly seen squared, of all things, with x/ln x. And you have the probability formula wrapped up in there:
((p_j - 2)/(p_j -1))*((p_{j-1} - 2)/(p_{j-1} - 1))*…*(1/2)
where you can see it by simplifying 1 - 1/(p-1)^2, as that's p(p-2)/(p-1)^2, so you get this excess p/(p-1).
What a nutty mess!
How did that dingbat come up with that crap?
# posted by James Harris @ 22:17 
