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TheSimpliFire

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Discussions/answers to conjectures (may or may not be original), interesting maths problems in/out of MSE, and any random stuff.

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Top Questions
44 votes

Can we remove any prime number with this strange process?

number-theory prime-numbers recreational-mathematics recursive-algorithms asked Jul 8 at 9:20
math.stackexchange.com

31 votes

Conjecture: Is $100$ the only square number of the form $a^b+b^a$?

number-theory modular-arithmetic square-numbers conjectures pythagorean-triples asked Jul 14 at 10:19
math.stackexchange.com

30 votes

What is the maximum value of this nested radical?

functions recursion maxima-minima nested-radicals golden-ratio asked Jan 5 at 16:41
math.stackexchange.com

22 votes

Google's 20th Anniversary: Make 20 using 6 0 0 6 1 3

mathematics formation-of-numbers asked Sep 30 '18 at 18:47
puzzling.stackexchange.com

22 votes

Cubic programming and beyond?

reference-request nonlinear-programming asked Jul 11 at 18:41
or.stackexchange.com

20 votes

Simple Maths Riddle 2

riddle mathematics asked Apr 17 '18 at 13:07
puzzling.stackexchange.com

20 votes

Interesting patterns in $f(k,n)=k\pi-\sum\limits_{x=1}^n\tan^{-1}\left(\frac1{\sqrt[k]x}\right)$

sequences-and-series trigonometry optimization recreational-mathematics asked Aug 3 at 10:22
math.stackexchange.com

19 votes

On the integral $\int_{-\pi/2}^{\pi/2}\sin(x/\sin(x/\sin(x/\sin\cdots)))\,dx$

integration limits convergence regression asked Oct 7 '18 at 12:23
math.stackexchange.com

19 votes

Sum of digits of $a^b$ equals $ab$

number-theory decimal-expansion conjectures asked Feb 24 at 17:10
math.stackexchange.com

17 votes

On the integral $\int_0^\pi\sin(x+\sin(x+\sin(x+\cdots)))\,dx$

integration limits convergence asked Oct 6 '18 at 10:03
math.stackexchange.com

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Top Answers
62
Make 0 0 0 0 = 8
puzzling.stackexchange.com

29
Let $A=(a_{ij})$ be an $n\times n$ matrix. Suppose that $A^2$ is diagonal. Must $A$ be diagonal?
math.stackexchange.com

23
Why did I lose on time with 3 pawns vs Knight. Shouldn't it be a draw?
chess.stackexchange.com

22
Are there any OR challenges that are similar to kaggle's competitions?
or.stackexchange.com

20
Counter-intuitive results in OR
or.stackexchange.com

19
Polyhedra, Polyhedron, Polytopes and Polygon
or.stackexchange.com

16
How to write numbers and percentage?
english.stackexchange.com

16
Maximum value of $ab+bc+ca$ given that $a+2b+c=4$
math.stackexchange.com

15
Evaluating $\int_0^1\frac{3x^4+ 4x^3 + 3x^2}{(4x^3 + 3x^2 + 2x+ 1)^2}\, dx$
math.stackexchange.com

14
Are there any “nonstandard” special angles for which trig functions yield radical expressions?
math.stackexchange.com

14
Do they have to be integers?
puzzling.stackexchange.com

12
Is every $N$th Fibonacci number where $N$ is divisible by $5$ itself divisible by $5$
math.stackexchange.com

12
How to prove :$\sqrt{1!\sqrt{2!\sqrt{3!\sqrt{\cdots\sqrt{n!}}}}} <3$
math.stackexchange.com

12
Find $a$ and $b$ for which $\int_{0}^{1}( ax+b+\frac{1}{1+x^{2}} )^{2}\,dx$ takes its minimum possible value.
math.stackexchange.com

10
How to map interval $[0, 100]$ to the interval $[100, 350]$?
math.stackexchange.com

10
Can we express $\pi$ in terms of $\sum_{n=1}^\infty\frac1{n^2}$?
math.stackexchange.com

10
How to solve for $z$: $|z|=z+\bar{z}$
math.stackexchange.com

10
As easy as Three, Two, One… How fast can you go from Five to Four?
puzzling.stackexchange.com

10
What is quadratization?
or.stackexchange.com

10
Loss functions for specific probability distributions?
or.stackexchange.com

9
Great Unsolved Problems in O.R
or.stackexchange.com

9
Suggestion of some courses in sequential decision making
or.stackexchange.com

9
Use 2, 0, 1 and 8 to make 109
puzzling.stackexchange.com

9
Cubic programming and beyond?
or.stackexchange.com

9
Modeling the uncertainty of the input parameters
or.stackexchange.com

9
Minimum value of $\frac{b+1}{a+b-2}$
math.stackexchange.com

9
Prove that $a^{ab}+b^{bc}+c^{cd}+d^{da} \geq \pi$
math.stackexchange.com

8
Using the fact that $\sqrt{n}$ is an irrational number whenever $n$ is not a perfect square, show $\sqrt{3} + \sqrt{7} + \sqrt{21}$ is irrational.
math.stackexchange.com

8
Relationship between Catalan's constant and $\pi$
math.stackexchange.com

8
Limit as $x \to \infty$ of $\frac{\log(x)^{\log(\log(x))}}{x}$
math.stackexchange.com

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