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Perfect roots (
Posted on 2024-10-28
)
Find the smallest positive integer n, such that (5n)
1/5
, (6n)
1/6
, (7n)
1/7
are integers.
No Solution Yet
Submitted by
Danish Ahmed Khan
No Rating
Comments: (
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re: solution
Comment 2 of 2 |
(In reply to
solution
by Charlie)
I got the same result without need of calculator.
The three roots have some nice patterns:
5^17 * 6^7 * 7^18
5^14 * 6^6 * 7^15
5^12 * 6^5 * 7^13
Posted by
Jer
on 2024-10-28 09:00:24
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