This post mentions an equation from Ender’s shadow
2+2=π√2+n
Which kind of annoys me because either:
It’s trivial to solve using algebra
The joke is that the answer is irrational so it takes “forever” to solve
So the question I have is:
What is the best problem you know of having the following properties:
Can be expressed as a short formula using “high school” math or less
Has an integer (or rational I guess) answer
..which is less than 10**100
And cannot be solved using contemporary mathematics
The first “almost” example I came up with was something along the lines of
x1∗x2∗...∗xn=⌊π∗1010000⌋
Where xi are all prime. This should have a couple of large prime factors and hence be hard to factor, but notice it doesn’t satisfy criterion 3 (since we can easily factor numbers ~10**100**2)
Does anyone have a better example?
My other instinct was Ramsey Numbers but these seem to fail criterion 1 since I didn’t learn the definition in any high school math class.
Also thought of Collatz Conjecture which I guess would count if it had a counter-example < 10**100.
[Question] 2+2=π√2+n
This post mentions an equation from Ender’s shadow
2+2=π√2+nWhich kind of annoys me because either:
It’s trivial to solve using algebra
The joke is that the answer is irrational so it takes “forever” to solve
So the question I have is:
What is the best problem you know of having the following properties:
Can be expressed as a short formula using “high school” math or less
Has an integer (or rational I guess) answer
..which is less than 10**100
And cannot be solved using contemporary mathematics
The first “almost” example I came up with was something along the lines of
x1∗x2∗...∗xn=⌊π∗1010000⌋
Where xi are all prime. This should have a couple of large prime factors and hence be hard to factor, but notice it doesn’t satisfy criterion 3 (since we can easily factor numbers ~10**100**2)
Does anyone have a better example?
My other instinct was Ramsey Numbers but these seem to fail criterion 1 since I didn’t learn the definition in any high school math class.
Also thought of Collatz Conjecture which I guess would count if it had a counter-example < 10**100.