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Mathematics
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mathlove
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answer
144
How do people perform mental arithmetic for complicated expressions? (In particular, $\frac{10^2+11^2+12^2+13^2+14^2}{365}$)
Aug 10, 2015
question
83
Numbers $n$ such that the digit sum of $n^2$ is a square
Jan 6, 2015
answer
82
How to prove that the Fibonacci sequence is periodic mod 5 without using induction?
Jul 12, 2015
question
74
Representing every positive rational number in the form of $(a^n+b^n)/(c^n+d^n)$
Mar 11, 2015
question
67
Arranging numbers from $1$ to $n$ such that the sum of every two adjacent numbers is a perfect power
Feb 28, 2015
answer
62
Trick with 3-digit numbers, always get 1089
Sep 18, 2014
question
56
Finding triplets $(a,b,c)$ such that $\sqrt{abc}\in\mathbb N$ divides $(a-1)(b-1)(c-1)$
Apr 25, 2015
question
54
Finite Sum $\sum\limits_{k=1}^{m-1}\frac{1}{\sin^2\frac{k\pi}{m}}$
Oct 29, 2013
question
48
$\lfloor \sqrt n+\sqrt {n+1}+\sqrt{n+2}+\sqrt{n+3}+\sqrt{n+4}\rfloor=\lfloor\sqrt {25n+49}\rfloor$ is true?
Aug 27, 2013
question
47
Why does this ratio of sums of square roots equal $1+\sqrt2+\sqrt{4+2\sqrt2}=\cot\frac\pi{16}$ for any natural number $n$?
Aug 10, 2013
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39
Arranging numbers from $1$ to $n$ such that the sum of every two adjacent numbers is a perfect power
34
About the ratio of the areas of a convex pentagon and the inner pentagon made by the five diagonals
33
Can we simplify $\int_{0}^{\infty}\frac{{\sin}^px}{x^q}dx$?
24
Letting $S(m)$ be the digit sum of $m$, then $\lim_{n\to\infty}S(3^n)=\infty$?
24
Does this sequence always give an integer?