Zagorax
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 Jun21 comment number prime to $bc$ with system of congruences Actually it was part of a problem that demonstrates that $\phi(bc)$ is equal to $\phi(b)$$\phi(c)$. That was suggested as a starting point for this demonstration, so I thought that all and only the solution of that system were prime to $bc$. But it seems false since your remark. Jun19 comment number prime to $bc$ with system of congruences Thank you for your edit. I just fixed a typo. :) Jun19 revised number prime to $bc$ with system of congruences added 1 characters in body Jun19 awarded Supporter Jun19 awarded Student Jun19 awarded Scholar Jun19 accepted number prime to $bc$ with system of congruences Jun19 awarded Editor Jun19 revised number prime to $bc$ with system of congruences edited tags Jun19 comment number prime to $bc$ with system of congruences Sorry both for my very basic math knowledge. And my bad english. Question modified, you both were right. Jun19 asked number prime to $bc$ with system of congruences