Note on the diophantine equation $1 + 2p + (2p)^2 + · · · + (2p)^n = y^p$

Note on the diophantine equation $1 + 2 p + (2 p)^{2} + \cdot\cdot\cdot + (2 p)^{n} = y^{p}$

Tom Müller, Note on the diophantine equation $1 + 2 p + (2 p)^{2} + \cdot\cdot\cdot + (2 p)^{n} = y^{p}$ . Elem. Math. 60 (2005), no. 4, pp. 148–149