having this problem where i was working on an interesting math problem last night and now i'm at work and my brain really wants to keep working on the interesting math problem, but i'd feel guilty doing that instead of working so now i'm tooting about it instead

also this is the lamest problem in the world, like "yeah can't work today, was doing math last night" wtf

@josh i had a similar issue today, tried to figure out how factorising a cubic equation in physics class, i think i've almost got it down. in gur process i realised that adding 2 positive integers gets you a result who's factors include gur overlap between gur 2 added numbers, i just wrote a program to test it for all combos from 1 - 128 and it seems im right ?
am verry pleased to have done some fun math

@bx I'm curious what you mean. I don't think adding integers says anything about the results factors (and if it did we couldn't have primes, since any number n+1 would have to have some factor). I imagine I'm misunderstanding you

@josh @bx I'm not sure, but I think what he's saying is that if you have two numbers that share a factor, then their sum also shares the same factor. which seems true (and should be provable with some basic algebra)

@magical @bx oh sure, if they aren't coprime then it's clearly true.

@josh @bx and if they are coprime then the only factor they share is 1, which works too

@magical @bx and I think that will be the *only* shared factor! If a is coprime to b then a, b, and a + b are all coprime. I think. I'm not going to bother to prove it :p

@josh @magical yeah, like magical said, any factors two positive ints have in common they also have in common with their sum. if i could figure out where gur new factors come from it'd be cool to redefine addition in terms of sets of factors instead of normal numbers

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