probability that a particular function of a prime would be prime
- For each of the odd primes p < 10 000, I calculated the number q as follows.
r = int(5 * p/12)
m = r - p%r
q is the largest odd factor of m.
There are 1228 odd primes < 10 000.
Given that I select only the numbers q which are > 14, what would you
guess would be the probability that q is prime?
The maximum value of q in this set is 2489. q is not distributed
uniformly. There are more q's in the range 1 to m, than in the range
m to 2m, for every positive m sufficiently large.
Would it surprise you to find that I counted
590 composite values of q in this range,
591 prime values of q > 14 in this range?
Kermit < kermit@... >