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Consecutive power sum (Posted on 2021-05-12)

Find all positive integers n such that 3ⁿ+4ⁿ+...+(n+2)ⁿ=(n+3)ⁿ

No Solution Yet Submitted by Danish Ahmed Khan

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Puzzle Answer

| Comment 5 of 8 |

n=6 is the only possible value that satisfies all the given conditions.

*** I sincerely hope to posit a suitable semi-analytic explanation for it in the future.

Posted by K Sengupta on 2022-04-21 00:29:51

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