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16 votes
2 answers
3k views

Thoughts on the Collatz conjecture; integers added to powers of 2

14 votes
3 answers
24k views

Symbol for the set of odd naturals?

10 votes
9 answers
704 views

Example of a conjecture/theorem which required an entirely new idea to prove

10 votes
2 answers
4k views

Compositions of homotopic maps are homotopic

9 votes
5 answers
1k views

Can the Identity Map be a repeated composition one other function?

8 votes
4 answers
2k views

Simple Set Theory Question

7 votes
3 answers
3k views

How to stay academically active during a Mathematics Gap Year? [closed]

7 votes
3 answers
1k views

Why bother showing $S^{1}$ covers itself?

6 votes
1 answer
3k views

Why do $n$ linearly independent vectors span $\mathbb{R}^{n}$?

6 votes
0 answers
124 views

Infinite Sums which turn out to be Riemann Integrals

5 votes
4 answers
918 views

Why do Topologies get "finer"?

5 votes
3 answers
746 views

Prove $x^{n}-5x+7=0$ has no rational roots

5 votes
3 answers
10k views

Integrating Reciprocals of Polynomials

5 votes
1 answer
171 views

2x2 Matrices and Differences of Fractions

5 votes
3 answers
589 views

Does the Abel-Ruffini Theorem contradict the Fundamental Theorem of Algebra?

5 votes
1 answer
200 views

On the differential equation $y''+y=0$

5 votes
7 answers
2k views

Show that $121^{n}-25^{n}+1900^{n}-(-4)^{n}$ is divisible by 2000.

5 votes
2 answers
623 views

Solving 4 Quadratic Simultaneous Equations

4 votes
3 answers
2k views

How does this prove AM-GM?

4 votes
3 answers
415 views

Solve $x=y\frac{dy}{dx}-\left(\frac{dy}{dx}\right)^{2}$

4 votes
1 answer
216 views

Which positive integers can be written in the following form?

4 votes
2 answers
158 views

Is this a helpful way of thinking about modular arithmetic?

4 votes
2 answers
2k views

Why is $|HK| = \frac{|H||K|}{|H \cap K|}$? [duplicate]

3 votes
2 answers
106 views

Is there a convention/rule-of-thumb for the order of writing numbers?

3 votes
2 answers
143 views

Notation for "function from a subset of $X$ into $Y$"?

3 votes
1 answer
105 views

Does 'bounded by convergent series' imply convergence?

3 votes
1 answer
183 views

Any $H \subset 2^{X}$ is a subbasis for the smallest topology containing $H$.

3 votes
3 answers
582 views

Is there a cute proof of (Hausdorff space iff diagonal closed)?

3 votes
1 answer
424 views

Is the first variation of a Jacobian determinant always zero?

3 votes
2 answers
1k views

Problem using Jensen's Inequality