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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 17:19, 15 March 2021
, 3 years ago→Why does the title limit the task to starting 12?: added a comment.
(→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) |
m (→Why does the title limit the task to starting 12?: added a comment.) |
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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 not so much different deltas.
<pre>
The 9,999th occurrence of 2 raised to a power whose product starts with "1" is 33,216
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12354 6288|13301 3628|15437 83|</pre>
--[[User:Horst.h]]19:22, 20 January 2020 (UTC)~
:Taking the sequence Log<sub>10</sub> 2..Log<sub>10</sub> 2..infinity, then the task is to find values of this sequence whose decimal part is greater than or equal to the decimal part of Log<sub>10</sub> 1.2 and less than the decimal part of Log<sub>10</sub> 1.3. This can of course be calculated without considering every value of Log<sub>10</sub> 2..Log<sub>10</sub> 2..infinity.--[[User:Nigel Galloway|Nigel Galloway]] ([[User talk:Nigel Galloway|talk]]) 15:11, 15 March 2021 (UTC)
==Why does the title limit the task to starting 12?==
Many of the solutions solve the general case of starting say 99 etc. There is a particular significance to 12 but the task description does not emphasize this.--[[User:Nigel Galloway|Nigel Galloway]] ([[User talk:Nigel Galloway|talk]]) 14:59, 15 March 2021 (UTC)
: What would you suggest to emphasize that particular significance? -- [[User:Gerard Schildberger|Gerard Schildberger]] ([[User talk:Gerard Schildberger|talk]]) 17:18, 15 March 2021 (UTC)
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