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Euler's Proof on Infinitude of Number of Primes

I've taken this screenshot from this Brilliant Wiki Page.

I don't understand how (2) follows from (1).

Can anyone help me, please, with some details?

Note by Muhammad Rasel Parvej
8 months, 3 weeks ago

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I agree that this proof is poorly written up. The explanation should go something like this (see page 1 and 2).

@Calvin Lin@Eli Ross you might want to look into this. Pi Han Goh · 8 months, 3 weeks ago

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@Pi Han Goh Thank you very much! Muhammad Rasel Parvej · 8 months, 3 weeks ago

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@Muhammad Rasel Parvej Do you follow the proof? If so, can you help us add more explanation into the wiki so that others who are new to it can likewise read and understand? Calvin Lin Staff · 8 months, 3 weeks ago

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@Calvin Lin I'll try to do so. Muhammad Rasel Parvej · 8 months, 2 weeks ago

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