Originally Posted by

**Vlasev** I'm not quite sure of the following steps but, if for every positive number N, we consider the product over all primes smaller than N, we get that

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Since they agree for every number N they must agree in the limiting case, i.e.

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Here we have that [LaTeX ERROR:
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diverges for s with real part between 1/2 and 1. Hence the absolute value squared must also diverge and thus [LaTeX ERROR:
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must also diverge.