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Topic: 2017 (Read 4288 times) |
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towr
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Re: 2017
« Reply #25 on: Jan 3rd, 2017, 10:20pm » |
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Oh yeah, wolfram alpha interprets log() as ln(), but it does have log10().
I suppose I could try to find ones without log. One the one hand, it does supply the function, but on the other hand only in a form that contains digits.
And in many cases I need to put parenthesis around percentages, so 94 = (2^0) / (1%) - totient(7) should work.
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rloginunix
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Re: 2017
« Reply #26 on: Jan 4th, 2017, 7:05pm » |
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Aah, an international pool of (interdisciplinary) confusion - logarithmic notation ...
Separately, not hugely interesting, just some trivia I thought of while driving: if we construct a sum of powers of two then we get a nicely ordered set of initial odd integers:
22 + 20 + 21 + 27 = 135
The sum of (decimal) digits in bases 2 and 6 are equal (to 7), ditto bases 3 and 5 (9):
(2017)2 = 11111100001, sums to 7
(2017)6 = 13201, sums to 7
(2017)3 = 2202201, sums to 9
(2017)5 = 31032, sums to 9
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towr
wu::riddles Moderator
Uberpuzzler
Some people are average, some are just mean.
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Posts: 13730
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Re: 2017
« Reply #27 on: Jan 4th, 2017, 10:35pm » |
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In bases 10, 19, 22, 25, 29, 33, 37, 43, 49, 57, 64, 73, 85, 97, 113, 127, 145, 169, 225, 253, 289, 337, 505, 673, 1009 the digits sum to 10 (in the same base)
e.g 201710 = [1][1008]1009 => 11009+10081009=101009 = 100910
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| « Last Edit: Jan 4th, 2017, 10:59pm by towr » |
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