Counting Polydivisible Numbers
We can find the actual values of F(n) by counting the number of polydivisible numbers with a given length :
| Length n | F(n) | Estimate of F(n) | Length n | F(n) | Estimate of F(n) | Length n | F(n) | Estimate of F(n) | ||
|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 9 | 9 | 11 | 2225 | 2255 | 21 | 18 | 17 | ||
| 2 | 45 | 45 | 12 | 2041 | 1879 | 22 | 12 | 8 | ||
| 3 | 150 | 150 | 13 | 1575 | 1445 | 23 | 6 | 3 | ||
| 4 | 375 | 375 | 14 | 1132 | 1032 | 24 | 3 | 1 | ||
| 5 | 750 | 750 | 15 | 770 | 688 | 25 | 1 | 1 | ||
| 6 | 1200 | 1250 | 16 | 571 | 430 | |||||
| 7 | 1713 | 1786 | 17 | 335 | 253 | |||||
| 8 | 2227 | 2232 | 18 | 180 | 141 | |||||
| 9 | 2492 | 2480 | 19 | 90 | 74 | |||||
| 10 | 2492 | 2480 | 20 | 44 | 37 |
There are 20,456 polydivisible numbers altogether, and the longest polydivisible number, which has 25 digits, is :
- 360 852 885 036 840 078 603 672 5
Read more about this topic: Polydivisible Number
Famous quotes containing the words counting and/or numbers:
“What culture lacks is the taste for anonymous, innumerable germination. Culture is smitten with counting and measuring; it feels out of place and uncomfortable with the innumerable; its efforts tend, on the contrary, to limit the numbers in all domains; it tries to count on its fingers.”
—Jean Dubuffet (1901–1985)
“The land cannot be cleansed of the blood that is shed therein, but by the blood of him that shed it.”
—Bible: Hebrew Numbers 35:33.