Determine all triples (a,b,c) of positive integers for which ab−c,bc−a, and ca−b are powers of 2.

Asked Apr 08 '22 at 09:04

Active Apr 08 '22 at 18:29

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Determine all triples $(a, b, c)$ of positive integers for which $a b-c, b c-a$, and $c a-b$ are powers of $2 .$

Explanation, I realized that A power of 2 is an integer of the form $2^{n}$, where $n$ denotes some nonnegative integer, but I can't solve it as well

edited Apr 08 '22 at 18:29

Bill Dubuque

asked Apr 08 '22 at 09:04

Vandam

1

Certain it is that any correct solution has to include ${2,2,2}$ and ${3,5,7}$. – Oscar Lanzi Apr 08 '22 at 09:30
And ${2,2,3}$. – David Apr 08 '22 at 10:51

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