Talk:Rare numbers: Difference between revisions
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Thanks again '''Nigel Galloway''', for the improved F# version. (I find it even more delightfully terse, and I understand it even less that the first version.) However, I gave it a couple of shortcuts and got this result on the core i7:
<pre>nth Rare Number total time digs (et per dig)
1 65
1 ms 2 ( 0 ms)
1 ms 3 ( 0 ms)
2 ms 5 ( 0 ms)
2 621,770
5 ms 6 ( 2 ms)
6 ms 7 (
3 281,089,082
4 2,022,652,202
5 2,042,832,002
6 872,546,974,178
7 872,568,754,178
8 868,591,084,757
9 6,979,302,951,885
10 20,313,693,904,202
11 20,313,839,704,202
12 20,331,657,922,202
13 20,331,875,722,202
14 20,333,875,702,202
15 40,313,893,704,200
16 40,351,893,720,200
17 200,142,385,731,002
18 221,462,345,754,122
19 816,984,566,129,618
20 245,518,996,076,442
21 204,238,494,066,002
22 248,359,494,187,442
23 244,062,891,224,042
24 403,058,392,434,500
25 441,054,594,034,340
26 2,133,786,945,766,212 478386 ms
27 2,135,568,943,984,212 499689 ms
28 8,191,154,686,620,818 503747 ms
29 8,191,156,864,620,818 506482 ms
30 2,135,764,587,964,212 507132 ms
31 2,135,786,765,764,212 509065 ms
32 8,191,376,864,400,818 513368 ms
33 2,078,311,262,161,202 532418 ms
34 8,052,956,026,592,517 893558 ms
35 8,052,956,206,592,517 896814 ms
36 8,650,327,689,541,457 962029 ms
37 8,650,349,867,341,457 963704 ms
38 6,157,577,986,646,405 965923 ms
39 4,135,786,945,764,210 1333750 ms
40 6,889,765,708,183,410 2225840 ms
2251017 ms 16 (2020751 ms)
41 86,965,750,494,756,968 2446863 ms
42 22,542,040,692,914,522 2447002 ms
43 67,725,910,561,765,640 3995397 ms
4106524 ms 17 (1855506 ms)
44 284,684,666,566,486,482 7761433 ms
45 225,342,456,863,243,522 7887401 ms
46 225,342,458,663,243,522 7930157 ms
47 225,342,478,643,243,522 8019971 ms
48 284,684,868,364,486,482 8085227 ms
49 871,975,098,681,469,178 8439579 ms
50 865,721,270,017,296,468 9124567 ms
51 297,128,548,234,950,692 9135222 ms
52 297,128,722,852,950,692 9145493 ms
53 811,865,096,390,477,018 9249578 ms
54 297,148,324,656,930,692 9286388 ms
55 297,148,546,434,930,692 9306517 ms
56 898,907,259,301,737,498 9679708 ms
57 631,688,638,047,992,345 16317159 ms
58 619,431,353,040,136,925 16376430 ms
59 619,631,153,042,134,925 16559935 ms
60 633,288,858,025,996,145 16629165 ms
61 633,488,632,647,994,145 16685653 ms
62 653,488,856,225,994,125 18768151 ms
63 497,168,548,234,910,690 24649427 ms
</pre>
Tested up to 15 digits in under 4 minutes.
<br/>
Tio.run [https://tio.run/##dVRtb@M2DP6eX8EFaCEnts5276VJagPDvRQHeN3hcsA@BMGgxowjTJZTS7m01/S3d5TsZu12C5JAJEXy4UOKaxOtmhYfH5stapjfGYv14NmZf/79hfhBiko3xsqVGQxevYJPUpcglIKvokXQu/oaWwN7aTcgoJSVtIbDlaxQwSVda/bibgpz3FIsugnJud3wENI4mXBg3/Yo/sLS2zmkE7sJBgottBT7alcbENkAwGlEGoLYul8KGYg8z5MQts1eQxIXwESUBC9kdyHofeWPL3OoMnfUGVurRtg8Nzct/Utt374OKpAa9EhnVe@hs8W6aUE7/SLmXKRRsoSygTuJqgTGnmfWlDuI/lHpIFge8kIay1v83kdscQXrK5BQAWYGb@5rYVcbwI65OMq7yBUcMMqPueUx5y/OexFNCs7PiyUwPZ1WATCk3A@HfI43fC2VxZatdxqqKHc5q8zpa6KMjQIKWHUXza52saucsJ6e9uwEz3FeuuwOKSiPlWwAHWDlAXvFZjq1HVbl4tXiFhwhcRFtAs5rUk1InDjRlSHXgHlSHA4qi@nfoF3ExSwpZq@L2Zti9rZY8veNtkJqwxhTFxcXSTDeBCdEaQB2QxP5RMQllT9WIxwzRRdGjgdJctXLSHL1yrsxHHXuHvDhzygnFDoX2y7gETsjtTg9PU2yuLMQtCWgMuhOnE@Kpa@hY1WN3BS69qw79hirOrh6LJ9jJTJCPa6CB6D8rn//KhgWSxpsOOTg@rJqlMKVZU@TA3nuaiVO6UuQkyIY@Ndh9vQE5rbZ7l1L@NyK1l7hnnVvp95Zca0QVs1O00DQ1djrty0N@1yXzO6n3/DW/tFKMgdsbWxodBlknqMnr4voeBxD4k12z70PG97HYfoA92mYvpnq@IFs92fhuweozTDsvcI@bGj2/KMSW4Plb1IpaXDV6NL0lVg07rH1s2f/ryyA44tgx9WgfUd8VWs9PBEwfKoQNHn0BhienCXm5F1J4AjnSVq6UlinCIYwHMLPEVI6@zP9YLC4@Khte/eloQT5suOcphZEW32HjkWn222pHDdXpOYF6oreeQ79fHnlIl663lOYbtSSc@9MPv/dvfwDXu@qClv@2fxqrVhtaG36UJ7DdAb0eEyjkL9XKFoWzFxdX8lGLDrpWWNjoD3ud7MBR3sD/hYICz@wbTyII32aYL/4@L1/5fe@G4rGCgVW1kgCrX8imblhIyNJwdAHW6Sc77bLp0F3c@dhe6NH06LdtUSL67FFKhPwVloCXeLg8fExOfsb (link)] version results:
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