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Cubic Summation divisibility (
Posted on 2023-07-13
)
For any positive integers n and m satisfying the equation n
3
+(n+1)
3
+(n+2)
3
=m
3
, prove that n+1 is divisible by 4.
No Solution Yet
Submitted by
Danish Ahmed Khan
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Solution
Comment 1 of 1
The only solution to the equation is 3^3+4^3+5^3=6^3
n+1=4 which is divisible by 4.
I didn't prove this, but it's not an uncommon question.
https://math.stackexchange.com/questions/120254/sum-of-three-consecutive-cubes
Posted by
Jer
on 2023-07-14 18:52:01
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