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Multiples of Powers (Posted on 2023-10-12) Difficulty: 3 of 5
Determine the smallest positive integer which is 2 times a square, 3 times a cube, 5 times a fifth power, 7 times a seventh power, and 11 times an eleventh power.

For example, 648 is 2 times the square of 18, and 3 times the cube of 6.

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): solution Comment 4 of 4 |
(In reply to re: solution by Math Man)

You are correct, I neglected the effect of, for example, the multiple 7's affecting whether the rest after one seven, was a square.


And my arithmetic error was the result of including 7*330 instead of 7^330 in the calculation of what was an erroneous  formula anyway.



  Posted by Charlie on 2023-10-15 22:21:45
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