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I could use some help please (link references, references to Mathematicians, Forumlas... Anything really)

I'm trying to dig head-first on some Factorial patterns and potential Prime Powers patterns' possible relation (not aiming anything, just playing) but i was thinking of something not so calculator-dependant, something more "formulaic" maybe is the word. I want to be able to "Prime Factorize" numbers above 30 digits on paper too for example. That would be very helpful.

I understand it's a silly request but that's the point, i want the material i will face during the process not the results (which are one Google Search away with details included, after all).

Any help is highly appreciated, thank you.
Ps: Have mercy on me with high level notations please, i'm a noob lol.

 Apr 12, 2019

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