>probability that a prime is also a Sophie Germain primesee section 3.5 and Table 6 of Chris Caldwell's note:
> see section 3.5 and Table 6 of Chris Caldwell's note:cool - I see how they got the predicted # less than N (after figuring
out to use ln instead of log on my graph calc). Now I'm just
wondering what program you guys use to calculate these equations - on
my graphing clac I get infinity or undef for a lot of answers bc. the
#'s are so large.
Right now I'm working on Sophie Germain primes with 10544 digits, so
I was going to calculate the # of Sophie Germain primes w/ 10544
digits = 2C * $(ln(y)*ln(2y))^-1 dy (where $ = integral) w/ limits
10^10543 (lower) and 10^10544 (upper) to estimate the # of s.g.
primes between 10^10543 and 10^10544 (ie out of a possible 9 *
10^10543), then divide 9 * 10^10543 by the answer the see how many
#'s I'd have to search through on average before I found a s.g.
prime. Unfortunately my calc gives me garbage answers - any
> Unfortunately my calc gives me garbage answersWith such a narrow range (on a logarithmic scale)
you make safely estimate the integral
as the integrand times the increment.