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Power equation (Posted on 2025-02-05)

How many ordered triples (a, b, n) of positive integers would satisfy the equation a² + b⁴ = 5ⁿ?

No Solution Yet Submitted by Danish Ahmed Khan

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re: solution

Comment 3 of 3 |

(In reply to solution by Paul)

Nice!

I wonder if it is possible to prove that the two chains of solutions identified thus far are the only ones:

(a,b,n) = (2,1,1)

(a,b,n) = (3,2,2)

Posted by Larry on 2025-02-05 22:19:09

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