质数分布、素数分布:在某一最大数字范围内里存在的质数或素数的个数,呈现规律性的变化,随着数字越大,所括的质数或素数所占的百分比就越小。
最大整数 |
质数个数 |
百分比(%) |
10 (一十) |
4 |
40.000000% |
100 (一百) |
25 |
25.000000% |
1,000 (一千) |
168 |
16.800000% |
10,000 (一万) |
1,229 |
12.290000% |
100,000 (一十万) |
9,592 |
9.592000% |
1,000,000 (一百万) |
78,498 |
7.849800% |
10,000,000 (一千万) |
664,579 |
6.645790% |
100,000,000 (一亿) |
5,761,455 |
5.761455% |
1,000,000,000 (一十亿) |
50,847,534 |
5.084754% |
10,000,000,000 (一百亿) |
455,052,511 |
4.550525% |
100,000,000,000 (一千亿) |
4,118,054,813 |
4.118055% |
1,000,000,000,000 (一兆) |
37,607,912,018 |
3.760791% |
10,000,000,000,000 (一十兆) |
346,065,536,839 |
3.460655% |
100,000,000,000,000 (一百兆) |
3,204,941,750,802 |
3.204942% |
1,000,000,000,000,000 (一千兆) |
29,844,570,422,669 |
2.984457% |
10,000,000,000,000,000 (一万兆) |
279,238,341,033,925 |
2.792383% |
40,000,000,000,000,000 (四万兆) |
1,075,292,778,753,150 |
2.688232% |