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Mirko
  • Member for 7 years, 9 months
  • Last seen more than a month ago
740 votes
12 answers
209k views

Does $\pi$ contain all possible number combinations?

  • 7,401
616 votes
8 answers
42k views

Why is $1 - \frac{1}{1 - \frac{1}{1 - \ldots}}$ not real?

  • 5,720
536 votes
0 answers
19k views

Does there exist a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?

  • 69.4k
430 votes
23 answers
68k views

How can I evaluate $\sum_{n=0}^\infty(n+1)x^n$?

  • 4,515
189 votes
9 answers
15k views

"Advice to young mathematicians"

  • 7,716
186 votes
4 answers
23k views

Some users are mind bogglingly skilled at integration. How did they get there?

  • 7,311
160 votes
15 answers
330k views

Is there a general formula for solving Quartic (Degree $4$) equations?

  • 3,311
153 votes
3 answers
24k views

The square roots of different primes are linearly independent over the field of rationals

  • 1,633
124 votes
1 answer
4k views

Is There An Injective Cubic Polynomial $\mathbb Z^2 \rightarrow \mathbb Z$?

  • 58.9k
113 votes
1 answer
3k views

Gross-Zagier formulae outside of number theory

  • 52.5k
110 votes
4 answers
4k views

Least prime of the form $38^n+31$

  • 79k
104 votes
1 answer
3k views

Can we remove any prime number with this strange process?

  • 25.7k
102 votes
3 answers
8k views

Cardioid in coffee mug?

  • 3,812
94 votes
4 answers
63k views

Alternative proof that $(a^2+b^2)/(ab+1)$ is a square when it's an integer

  • 12k
87 votes
4 answers
36k views

Why is $e^{\pi \sqrt{163}}$ almost an integer?

  • 2,466
86 votes
11 answers
31k views

What is a simple example of an unprovable statement?

76 votes
1 answer
11k views

How to solve fifth-degree equations by elliptic functions?

  • 7,513
73 votes
2 answers
3k views

Representing every positive rational number in the form of $(a^n+b^n)/(c^n+d^n)$

  • 122k
70 votes
2 answers
2k views

Let, $A\subset\mathbb{R}^2$. Show that $A$ can contain at most one point $p$ such that $A$ is isometric to $A \setminus \{p\}$.

  • 5,432
69 votes
7 answers
7k views

Do there exist pairs of distinct real numbers whose arithmetic, geometric and harmonic means are all integers?

67 votes
4 answers
16k views

Integrals of the form ${\large\int}_0^\infty\operatorname{arccot}(x)\cdot\operatorname{arccot}(a\,x)\cdot\operatorname{arccot}(b\,x)\ dx$

62 votes
7 answers
2k views

Let $k$ be a natural number . Then $3k+1$ , $4k+1$ and $6k+1$ cannot all be square numbers.

  • 5,778
61 votes
2 answers
2k views

On Ramanujan's curious equality for $\sqrt{2\,(1-3^{-2})(1-7^{-2})(1-11^{-2})\cdots} $

60 votes
2 answers
2k views

The most effective windshield-wiper setup. (Packing a square with sectors)

  • 7,958
60 votes
2 answers
3k views

What does it take to divide by $2$?

  • 18k
59 votes
5 answers
3k views

Colliding Bullets

  • 1,031
59 votes
2 answers
1k views

Mirror algorithm for computing $\pi$ and $e$ - does it hint on some connection between them?

  • 30.4k
58 votes
2 answers
20k views

Geometric interpretation for sum of fourth powers

  • 51.7k
57 votes
6 answers
7k views

Does $\zeta(3)$ have a connection with $\pi$?

  • 3,310
56 votes
3 answers
2k views

Is $29$ the only prime of the form $p^p+2$?

  • 2,367
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