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Powerful Parade (Posted on 2023-09-03)

If
4^a + 5^b + 6^c = 8^8 + 9^9 + 10^10

then what is the sum S=a+b+c (each a positive integer)?

No Solution Yet Submitted by Ady TZIDON

Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

With a slight change ... solution

| Comment 3 of 5 |

I also find no solution.

But if the '+' signs are replaced with '*', then

4^8 * 5^10 * 6^18 = 8^8 * 9^9 * 10^10

(both sides = 64998372267786240000000000)

(a,b,c) = (8,10,18) for the changed problem

Posted by Larry on 2023-09-03 11:13:36

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