View Single Post
2015-10-17, 21:24   #5
ewmayer
2ω=0

Sep 2002
República de California

2D8A16 Posts

The prime-odds have just been raised! (Actually the odds remain the same, it is my estimate thereof which has increased.)

Quote:
 Originally Posted by ewmayer 3. The factorizations of the remaining not-div-by-3 terms appear to be 'random', i.e. modelable by the statistics of randomly chosen odd integers of similar size.
That statement neglects that by construction, the remaining terms are not divisible by 3 or 5, i.e. if the factorization is indeed random (or at least random as far as aggregate odds are concerned), it is so w.r.to primes > 5. Thus my Pari-loop estimates all need to multiplied by (3/2)*(5/4) = 15/8, i.e. are nearly doubled.

Of course those are the naive odds - the conditional odds given no primes found below 10^5 are still quite low for the 10^5 - 10^6 range, around 10%.

Last fiddled with by ewmayer on 2015-10-17 at 21:26