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10 hours ago comment added Dan FYI, I edited my question after I found some related sequences on OEIS.
22 hours ago comment added SmileyCraft Very nice! This seems to generalize to showing that any solution $(a,b,d)$ for $t=xp$ with $p$ prime and $x^2\leq p$ must be of the form $(pa',pb',pd')$ with $(a',b',d')$ a solution for $t=x$.
yesterday history answered Blue CC BY-SA 4.0