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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.)

I might be wrong but...

| Comment 1 of 5

Using an Excel spreadsheet to explore all possibilities, I cannot find positive integers a,b,c that satisfy the equation.

Caveat - my spreadsheets have been wrong before.

Posted by Kenny M on 2023-09-03 10:26:20

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