logical fallacy of Euler's product formula

$ζ(s) = 1+ 1 / 2 s + 1 3 s$ $+\dots$

$1 / 2 s$ $ζ(s) = 1 / 2 s + 1 4 s$ $+\dots$

$(1- 1 / 2 s$ $)ζ(s) = 1+ 1 / 3 s +\dots$

$(1- 1 / 2 s)(1- 1 / 3 s)ζ(s) = 1+ 1 /4 5 s$ $+\dots$

$・$

$ζ(s) \neq Π 1 / 1- 1 / p s$

$T.theodor 2022.9.30.$