This is very interesting! It might also be fun to also generalize the question to higher powers, like the squarefree part of (a^6 + b^6 + c^6)^(1/3). But also it might be fun to look at the same question in other number systems, like the fields Z/p. —Dan Bill Gosper wrote: ----- the squarefree part of integers of the form sqrt(a^4+b^4+c^4). -----