Interesting math fact of the day #563:
The largest probable prime (number that satisfies Fermat’s little theorem for some nontrivial base) is (10^8177207 - 1) / 9, or the concatenation of 8177207 ones.

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@sqrt-73
Interesting math fact of the day #563:
The largest probable prime (number that satisfies Fermat’s little theorem for some nontrivial base) is (10^8177207 - 1) / 9, or the concatenation of 8177207 ones.

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black and white = black
black or white = white
black xor white = white
black nor white = black
fun fact! before black and white movies, there were black or white movies, where the screen was either pitch black or completely bright! colloquially, they were known known as “lightbulbs”, and were a major step to movies we know today!
Interesting math fact of the day #562:
where Γ(x) is the gamma function
spiders georg is an anagram of greed gossipr

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Some of you will come on my math posts and "correct" me but the thing you will say is very plainly the opposite of true. I understand how you come up with fully incoherent opinions about most things in the world and then be an ass about it on the internet. I understand how that happens, I really do. But y'all will come up in notes like "actually a tetrahedron isn't a platonic solid" "actually op 2+2 is 7" ??? "op should be ashamed of thinking 12<20" ????? This is how y'all sound and I just wanna know if you're okay because I don't understand how this happens
These comments are significantly more hinged than some of the shit people say on my posts @hereticalteapot @weaponized-mathematics
2 is not prime
7 is not prime
12 is prime 🎉🎉🎉
20 is prime 🎉🎉🎉
For fuck's sake
Interesting math fact of the day #561:
Interesting Poll Idea
The 2nd option will get more votes than the 3rd option
The 3rd option will get more votes than the 1st option
The 1st option will get more votes than the 2nd option
Interesting math fact of the day #560:
The red hexagon is 1/10 the area of triangle ABC (the sides of the triangle are trisected)
Interesting math fact of the day #559:
For triangles
where r is the inradius of the triangle.

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i feel really bad for the dot product, it deserved more respect when i learnt about it in high school.
how i learnt it: ok so there are vectors, and they can multiply with each other!!!! here’s the formula (derivation: ????). but ☝️ there’s another formula!!!! and there the same!!!! (optional: prove this)
how i understand it now: wow, vectors are neat, but one thing is weird about them… they’re expressable as xy points and lines with a distance! i wonder if there’s a relation between the two… well, what if there were 2 vectors, and hey this looks like a triangle!
[one proof later]
wow, I can’t believe that formula is so nice! we should give a name to these formulae! well, since we’re using 2 vectors and it’s not addition, why don’t we call this a product! we’ll use a dot! a dot product! how wonderful!
i feel really bad for the dot product, it deserved more respect when i learnt about it in high school.
Interesting math fact of the day #558:
Every integer can be written as A² + B² - C³ with A, B, and C being integers.
Interesting math fact of the day #557:
For any general plane quartic, the number of bitagents (lines that are tangent to 2 points) is 28, 16, or a number less than nine.
the sunk cost fallacy has been my favorite fallacy for as long as I can remember. so at this point it's probably too late to pick a different one
I just heard about the recency bias, and honestly I think it's gotta be the best one ever
Everyone is saying that the bandwagon effect is the best bias, so they have to be right
I once had this one logic professor who said that appeal to authority is the best fallacy. She's an expert in logic, so she must be right.
ad Hominem fallacy is such a total bitch. She's ugly too. I call her ad Homely fallacy
the either-or fallacy is either the worst fallacy ever or the greatest out there. and it sure isn’t the worst.

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Interesting math fact of the day #556:
If p is a prime > 3, then the (p - 1)th harmonic number (1 + 1/2 + 1/3 + … + 1/(p - 1)) has a numerator divisible by p² and (1 + 1/4 + 1/9 + … + 1/(p - 1)²) has a numerator divisible by p. These imply
Interesting math fact of the day #555:
for triangles like