PRP in base 79 and 83

For (40^n+39^n)/79, I found hitherto:
(40^5+39^5)/79
(40^19+39^19)/79
(40^47+39^47)/79
(40^463+39^463)/79
(40^997+39^997)/79
(40^1237+39^1237)/79
(40^14449+39^14449)/79

To be completed...