Positive Integer Triplet

\hspace{-16}$Is There is any Positive Integer Triplet $\bf{(x,y,z)}$ for which $\bf{8^x+17=y^z}$

4 Answers

1057
Ketan Chandak ·

there are many....atleast i have found 3....dun know how to find a general result...

11
Sambit Senapati ·

Well, as you didnt ask for the triplets themselves, the answer is yes. i got 7 solutions.

21
Shubhodip ·

lol Sambit, awesome :D

·

is the no. of such triplets infinite?
for z=1, any value of x gives a value of y forming a triplet.

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