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Yes they do. Python is a good resource for quick back-of-the-envelope calculations like this, I just tested the first digit of the powers of 2 from 0 to 9999. T
by mark-r 9y ago
Yes they do. Python is a good resource for quick back-of-the-envelope calculations like this, I just tested the first digit of the powers of 2 from 0 to 9999. The percentages were 30.10, 17.61, 12.49, 9.70, 7.91, 6.70, 5.79, 5.12, and 4.58. These agree almost precisely with the Wikipedia numbers. Ditto for powers of 5.
- madcaptenor 9y agoI agree. But for powers from 1 to 50 those same percentages are 30, 20, 10, 10, 10, 8, 2, 10, 0. In particular there is only one power of 2 in this range starting in 7 and none that ends in 9. This might make someone doing hand computation suspicious. (But really you can't tell much from such a small sample.)