Misha Lavrov Pythagorean triples Euler totient

(*start*)
p = 1;
t = 2;

a = 3;
b = 4;
c = 5;

d = a*b*c

a = a*d^p;
b = b*d^p;
c = c*d^p;


a^t + b^t
c^t
%% - %

EulerPhi[a^t] + EulerPhi[b^t]
EulerPhi[c^t]
%% - %

EulerPhi[EulerPhi[a^t]] + EulerPhi[EulerPhi[b^t]]
EulerPhi[EulerPhi[c^t]]
%% - %

EulerPhi[EulerPhi[EulerPhi[a^t]]] + EulerPhi[EulerPhi[EulerPhi[b^t]]]
EulerPhi[EulerPhi[EulerPhi[c^t]]]
%% - %

EulerPhi[EulerPhi[EulerPhi[EulerPhi[a^t]]]] +
 EulerPhi[EulerPhi[EulerPhi[EulerPhi[b^t]]]]
EulerPhi[EulerPhi[EulerPhi[EulerPhi[c^t]]]]
%% - %
EulerPhi[EulerPhi[EulerPhi[EulerPhi[EulerPhi[a^t]]]]] +
 EulerPhi[EulerPhi[EulerPhi[EulerPhi[EulerPhi[b^t]]]]]
EulerPhi[EulerPhi[EulerPhi[EulerPhi[EulerPhi[c^t]]]]]
%% - %
(*end*)