Problem number 29
Consider all the numbers generated by the formula a b , where a , b are integers: 2 ≤ a ≤ 5 and 2 ≤ b ≤ 5:
If you place them in a row in ascending order without repeating, they form a sequence of 15 elements:
4, 8, 9, 16, 25, 27, 32, 64, 81, 125, 243, 256, 625, 1024, 3125
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How many elements will be in the sequence generated by the following condition a b , where 2 ≤ a ≤ 100 and 2 ≤ b ≤ 100?
original
UPD : According to the analysis of criticism in the form of minuses, I propose to publish decisions in a personal blog. An example of a solution. It is interesting?
2 2 = 4, 2 3 = 8, 2 4 = 16, 2 5 = 32
3 2 = 9, 3 3 = 27, 3 4 = 81, 3 5 = 243
4 2 = 16, 4 3 = 64, 4 4 = 256, 4 5 = 1024
5 2 = 25, 5 3 = 125, 5 4 = 625, 5 5 = 3125
If you place them in a row in ascending order without repeating, they form a sequence of 15 elements:
4, 8, 9, 16, 25, 27, 32, 64, 81, 125, 243, 256, 625, 1024, 3125
')
How many elements will be in the sequence generated by the following condition a b , where 2 ≤ a ≤ 100 and 2 ≤ b ≤ 100?
original
UPD : According to the analysis of criticism in the form of minuses, I propose to publish decisions in a personal blog. An example of a solution. It is interesting?
Source: https://habr.com/ru/post/38126/
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