I like π pie, although I'm not sure about \( \pi^\pi \) pie

I wonder if some crazy mathematician ever thought of talking to a number as if it was a friend... (Because numbers are friends?)

"If life gives you lemons, that's really cool"

– Someone on Earth

philosophical thought Show more

Warning: Knowledges Show more

The story of Fermat's Last Theorem is truly fascinating... Was just reading about it and I'm truly stunned

In the same logic, I just found that for two consecutive numbers \( x \) and \( y \), where \( y = x - 1 \), the sum of their squares is equal to \(x^2 + y^2 = x \times 2y + 1\)

E.g.: \( 31^2 + 30^2 = 31 \times \left( 2\times 30 \right) + 1 = 1861\)

(Yes I know you can just substitute for \( y = x - 1 \), but again I was just randomly thinking of this)

I can't seem to find the original photographer, but kudos for the timing

and yes I know \( x^2 - y^2 = (x+y)(x-y) \), but I just wanted to share what I randomly thought of between my philosophical thoughts

So, I just found some interesting property of squared numbers by myself (which probably has been found already, but i just thought of it) which is that you can know the difference between two squares of consecutive numbers without knowing their values

E.g. I want to know \( 41^2 - 40^2 \). I don't know what their values are, but I can use this formula I just thought of: \( 2x - 1 \) (\( x \) is the higher number) so \( 2 * 41 - 1 = 81\) so \( 41^2 - 40^2 = 81 \)

really cool stuff

Let addition be an operation such that \( a + b = 1000 \). Therefore, \( 1 + 1 = 1000 \)

How to solve math *not* like a pro:

\[

\begin{split}

\frac{1}{n}\sin x =\\

\mathrm{(cancel\ n\ with\ n)}\operatorname{six} =\\

6

\end{split}

\]

I like π pie, although I'm not sure about \( \pi^\pi \) pie

Hello world 😀