this post was submitted on 09 Aug 2023
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You're mostly right, i misremembered some stuff. My phone keyboard or my client were not capable of adding a small + to the R. With general prime elements I meant prime elements in a ring. But regarding 3.: Not all reducible elements are prime nor vice versa.
That's why I wrote prime number instead of prime element to not add more confusion. I know that in general prime and irreducible are not equivalent.