Suman's attempted proof of zeta(5) irrationality fails because it mistakes the existence of integer solutions to a Diophantine equation for the rationality of zeta(5).
Zudilin, One of the numbers ζ(5), ζ(7), ζ(9), ζ(11) is irrational, Uspekhi Mat
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A Note on a Recent Attempt to Prove the Irrationality of $\zeta(5)$
Suman's attempted proof of zeta(5) irrationality fails because it mistakes the existence of integer solutions to a Diophantine equation for the rationality of zeta(5).