The Riemann Hypothesis is a conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers with real part $\frac{1}{2}$. We state the conjecture that $\frac{\pi^2}{6.4} \times \prod_{q \leq q_{n}} \left(1 + \frac{1}{q} \right) > e^{\gamma} \times \log\theta(q_{n})$ is satisfied for infinitely many prime numbers $q_{n}$, where $\theta(x)$ is the Chebyshev function and $\gamma\approx 0.57721$ is the Euler-Mascheroni constant. Under the assumption of

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... this conjecture and the Riemann Hypothesis, we prove that there is not any odd perfect number at all.