Question Number 135537 by metamorfose last updated on 13/Mar/21
$${x}\:{and}\:{n}\:{are}\:{integers} \\ $$$${p}\:{is}\:{a}\:{prime}\:{number} \\ $$$${find}\:\left({x},{p},{n}\right)\:{so}\:{that}\::\:{x}^{\mathrm{2020}} +\mathrm{3}={p}^{{n}} \\ $$
Answered by Olaf last updated on 14/Mar/21
$$\mathrm{If}\:{x}\:=\:\mathrm{0},\:{p}\:=\:\mathrm{3}\:\mathrm{and}\:{n}\:=\:\mathrm{1} \\ $$$$\mathrm{If}\:{x}\:=\:\mathrm{1},\:{p}\:=\:\mathrm{2}\:\mathrm{and}\:{n}\:=\:\mathrm{2} \\ $$