Quote:
Originally Posted by unconnected
Why so much difference between 1M3M and 4M6M ranges? Usually difference no more than 57%. For example, for k=33:
Code:
45919 1M/t17_b2_k33.npg
46129 2M/t17_b2_k33.npg
46271 3M/t17_b2_k33.npg
44182 4M/t17_b2_k33.npg
43896 5M/t17_b2_k33.npg
43877 6M/t17_b2_k33.npg

1M3M was sieved to p=100P, while 4M6M has been sieved to p=400P.
The number of factors for a given sieve range (from p1 to p2) can be estimated by N1*(1log(p1)/log(p2)), where N1 is the number of candidates at sieve level p1. Then the number of candidates surviving the sieve up to p2 should be roughly N2 = N1*log(p1)/log(p2).
By taking N1=46000 at p1=100P (=100*10^15) we get N2=44427 at p2=400P.
This makes the counts given above for k=33 (and all the other k's except k=5) quite plausible for me...