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Talk:First power of 2 that has leading decimal digits of 12: Difference between revisions
Talk:First power of 2 that has leading decimal digits of 12 (view source)
Revision as of 19:23, 20 January 2020
, 4 years ago→is there an easy way to get those delta 2^i (delta = i-Last_i ) ?: Get value of delta and counting them. Only 3 different for a number
(→is there an easy way to get those delta 2^i (delta = i-Last_i ) ?: Added some comments.) |
(→is there an easy way to get those delta 2^i (delta = i-Last_i ) ?: Get value of delta and counting them. Only 3 different for a number) |
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:though, given the substantial speed-up you've already achieved with your 'alternative' version, I don't know whether considering patterns as well is going to give a worthwhile improvement. --[[User:PureFox|PureFox]] ([[User talk:PureFox|talk]]) 14:47, 20 January 2020 (UTC)
::I counted the count of occurrences of deltas.There maximal 3 and one with 1 for the first occurrence.There many long existing deltas like 485/2136 and there are so much different deltas.
<pre>
The 9,999th occurrence of 2 raised to a power whose product starts with "1" is 33,216
3 6780| 4 3219| // delta=3 6780 times and delta = 4 3219x
The 9,999th occurrence of 2 raised to a power whose product starts with "2" is 56,770
1 1| 3 4496| 7 3913| 10 1589|
The 9,999th occurrence of 2 raised to a power whose product starts with "3" is 80,047
3 2241| 5 1| 7 1417| 10 6340|
The 9,999th occurrence of 2 raised to a power whose product starts with "4" is 103,168
2 1| 10 8936| 13 1062|
The 9,999th occurrence of 2 raised to a power whose product starts with "5" is 126,269
9 1| 10 8698| 23 362| 33 938|
The 9,999th occurrence of 2 raised to a power whose product starts with "6" is 149,330
6 1| 10 8460| 33 141| 43 1397|
The 9,999th occurrence of 2 raised to a power whose product starts with "7" is 172,484
10 8222| 43 391| 46 1| 53 1385|
The 9,999th occurrence of 2 raised to a power whose product starts with "8" is 195,442
3 1| 10 7985| 53 1123| 63 890|
The 9,999th occurrence of 2 raised to a power whose product starts with "9" is 218,543
10 7748| 53 75| 63 2176|
The 9,999th occurrence of 2 raised to a power whose product starts with "10" is 241,491
10 7512| 63 1518| 73 969|
The 9,999th occurrence of 2 raised to a power whose product starts with "11" is 264,625
10 7273| 50 1| 63 708| 73 2017|
The 9,999th occurrence of 2 raised to a power whose product starts with "12" is 287,583
7 1| 10 7036| 73 2863| 83 99|
The 9,999th occurrence of 2 raised to a power whose product starts with "13" is 310,614
10 6799| 17 1| 73 2291| 83 908|
The 9,999th occurrence of 2 raised to a power whose product starts with "14" is 333,738
10 6561| 47 1| 73 1719| 83 1718|
The 9,999th occurrence of 2 raised to a power whose product starts with "15" is 356,799
10 6324| 73 1146| 77 1| 83 2528|
The 9,999th occurrence of 2 raised to a power whose product starts with "16" is 379,717
4 1| 10 6087| 73 577| 83 3334|
The 9,999th occurrence of 2 raised to a power whose product starts with "17" is 402,758
10 5850| 34 1| 73 6| 83 4142|
The 9,999th occurrence of 2 raised to a power whose product starts with "18" is 425,882
10 5612| 54 1| 83 3819| 93 567|
The 9,999th occurrence of 2 raised to a power whose product starts with "19" is 448,923
10 5375| 83 3485| 84 1| 93 1138|
The 9,999th occurrence of 2 raised to a power whose product starts with "20" is 471,758
1 1| 10 5139| 83 3152| 93 1707|
... 83 vanishes 103 arises
The 9,999th occurrence of 2 raised to a power whose product starts with "29" is 679,193
10 3003| 68 1| 83 144| 93 6851|
The 9,999th occurrence of 2 raised to a power whose product starts with "30" is 702,214
10 2766| 78 1| 93 7042| 103 190|
... 10 vanishes 196 arises
The 9,999th occurrence of 2 raised to a power whose product starts with "41" is 955,269
10 159| 22 1| 93 5976| 103 3863|
The 9,999th occurrence of 2 raised to a power whose product starts with "42" is 978,383
32 1| 93 5879| 103 4040| 196 79|
... 103 vanishes 289 arises
The 9,999th occurrence of 2 raised to a power whose product starts with "70" is 1,622,964
46 1| 93 3165| 103 115| 196 6718|
The 9,999th occurrence of 2 raised to a power whose product starts with "71" is 1,646,274
93 3067| 149 1| 196 6905| 289 26|
... 93 vanishes 485 arises
The 9,999th occurrence of 2 raised to a power whose product starts with "102" is 2,360,602
10 1| 93 59| 196 5562| 289 4377|
The 9,999th occurrence of 2 raised to a power whose product starts with "103" is 2,381,673
113 1| 196 5522| 289 4447| 485 29|
... 289 vanishes 681 arises
The 9,999th occurrence of 2 raised to a power whose product starts with "185" is 4,269,695
196 1975| 260 1| 289 45| 485 7978|
The 9,999th occurrence of 2 raised to a power whose product starts with "186" is 4,293,872
196 1930| 456 1| 485 8057| 681 11|
The 9,999th occurrence of 2 raised to a power whose product starts with "187" is 4,316,594
... 196 vanishes 1166 arises
The 9,999th occurrence of 2 raised to a power whose product starts with "230" is 5,306,685
61 1| 196 26| 485 7599| 681 2373|
The 9,999th occurrence of 2 raised to a power whose product starts with "231" is 5,329,696
257 1| 485 7589| 681 2392| 1166 17|
... 681 vanishes 1651 arises
The 9,999th occurrence of 2 raised to a power whose product starts with "303" is 6,987,488
274 1| 485 6839| 681 27| 1166 3132|
The 9,999th occurrence of 2 raised to a power whose product starts with "304" is 7,010,014
470 1| 485 6829| 1166 3164| 1651 5|
... 1166 vanishes 2136 arises
The 9,999th occurrence of 2 raised to a power whose product starts with "444" is 10,236,012
485 5371| 1166 20| 1600 1| 1651 4607|
The 9,999th occurrence of 2 raised to a power whose product starts with "445" is 10,257,372
485 5361| 630 1| 1651 4635| 2136 2|
... 1651 vanishes 2621 arises
The 9,999th occurrence of 2 raised to a power whose product starts with "830" is 19,117,769
116 1| 485 1355| 1651 2| 2136 8641|
The 9,999th occurrence of 2 raised to a power whose product starts with "831" is 19,143,401
485 1344| 1767 1| 2136 8644| 2621 10|
... 485 vanishes 4757 arises
The 9,999th occurrence of 2 raised to a power whose product starts with "959" is 22,091,629
485 11| 1342 1| 2136 8435| 2621 1552|
The 9,999th occurrence of 2 raised to a power whose product starts with "960" is 22,115,610
857 1| 2136 8433| 2621 1565|
The 9,999th occurrence of 2 raised to a power whose product starts with "961" is 22,130,562
372 1| 2136 8432| 2621 1559| 4757 7|
##### 4 Digits
... 2621 vanishes 6893 arises
The 9,999th occurrence of 2 raised to a power whose product starts with "1,138" is 26,210,262
1608 1| 2136 8144| 2621 3| 4757 1851|
The 9,999th occurrence of 2 raised to a power whose product starts with "1,139" is 26,234,243
1123 1| 2136 8142| 4757 1850| 6893 6|
... 4757 vanishes 9029 arises
The 9,999th occurrence of 2 raised to a power whose product starts with "1,397" is 32,170,665
2136 7723| 3442 1| 4757 5| 6893 2270|
The 9,999th occurrence of 2 raised to a power whose product starts with "1,398" is 32,192,510
821 1| 2136 7721| 6893 2275| 9029 2|
... 6893 vanishes 11165 arises
The 9,999th occurrence of 2 raised to a power whose product starts with "1,809" is 41,649,940
250 1| 2136 7052| 6893 6| 9029 2940|
The 9,999th occurrence of 2 raised to a power whose product starts with "1,810" is 41,685,086
2136 7050| 6658 1| 9029 2947|11165 1|
... 9029 vanishes 13301 arises
The 9,999th occurrence of 2 raised to a power whose product starts with "2,566" is 59,093,850
2136 5818| 3310 1| 9029 3|11165 4177|
The 9,999th occurrence of 2 raised to a power whose product starts with "2,567" is 59,113,559
2136 5817| 7582 1|11165 4181|
The 9,999th occurrence of 2 raised to a power whose product starts with "2,568" is 59,122,103
689 1| 2136 5816|11165 4179|13301 3|
... 11165 vanishes 15437 arises
The 9,999th occurrence of 2 raised to a power whose product starts with "4,412" is 101,586,005
723 1| 2136 2812|11165 1|13301 7185|
The 9,999th occurrence of 2 raised to a power whose product starts with "4,413" is 101,603,578
2136 2811| 2859 1|13301 7186|15437 1|
... 2136 vanishes 12354 arises
The 9,999th occurrence of 2 raised to a power whose product starts with "6,138" is 141,314,661
2136 2| 3969 1|13301 6087|15437 3909|
The 9,999th occurrence of 2 raised to a power whose product starts with "6,139" is 141,343,399
6105 1|13301 6087|15437 3911|
The 9,999th occurrence of 2 raised to a power whose product starts with "6,140" is 141,374,273
8241 1|12354 2|13301 6086|15437 3910|
....
The 9,999th occurrence of 2 raised to a power whose product starts with "9,999" is 230,241,843
12354 6288|13301 3628|15437 83|</pre>
--[[User:Horst.h]]19:22, 20 January 2020 (UTC)~
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