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