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33rd Powers (Posted on 2021-01-25)

Prove that 3³³ + 4³³ + 5³³ < 6³³

No Solution Yet Submitted by Danish Ahmed Khan

Rating: 3.0000 (1 votes)

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Simple Solution

| Comment 3 of 5 |

Start with 3^3+4^3+5^3=6^3 and multiply both sides by 6^30.

Clearly 6^30 is greater than any of 3^30, 4^30, 5^30, so.

3³³ + 4³³ + 5³³ < 3³ 6³⁰ + 4³6³⁰+ 5³6³⁰ = 6³³

Posted by Jer on 2021-01-25 08:38:31

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