User VividD - Mathematics Stack Exchange

45 votes

Accepted

Is ${F_{n}}^2 - 28$ always a composite number?

answered Jan 4, 2015 at 8:24

36 votes

Can you be 1/12th Cherokee?

answered Jan 18, 2015 at 21:00

32 votes

For the Fibonacci numbers, show for all $n$: $F_1^2+F_2^2+\dots+F_n^2=F_nF_{n+1}$

answered Sep 1, 2015 at 6:35

28 votes

Show me some pigeonhole problems

answered Jan 15, 2014 at 1:40

22 votes

Only 12 polynomials exist with given properties

answered Apr 19, 2015 at 8:28

18 votes

Accepted

Technique for proving four given points to be concyclic?

answered Apr 26, 2015 at 21:49

14 votes

Is an empty parenthesis a valid mathematical expression?

answered Apr 24, 2015 at 7:45

12 votes

Software to render formulas to ASCII art

answered Apr 15, 2015 at 6:50

11 votes

Is $n! + 1$ often a prime?

answered Jul 1, 2014 at 23:55

11 votes

Accepted

Prove or disprove that ${F_{n}}^2 + 41$ is always a composite (if $F_{n}$ is $n^{th}$ Fibonacci number)

answered Jan 6, 2015 at 0:08

10 votes

Can I represent groups geometrically?

answered May 17, 2015 at 9:52

9 votes

Accepted

A Geometric Proof of $\zeta(2)=\frac{\pi^2}6$? (and other integer inputs for the Zeta)

answered Sep 12, 2015 at 16:17

8 votes

King and knight moving on an infinite chess board

answered Jan 6, 2015 at 16:36

8 votes

Splitting a sandwich and not feeling deceived

answered Jul 18, 2014 at 11:15

7 votes

Are there any visual proofs for $\sum_{n=1}^\infty \frac{1}{n^2} = \frac{\pi^2}{6}$?

answered May 14, 2015 at 7:52

5 votes

Accepted

Effect on existing roots of polynomial when adding small higher-order term

answered Apr 21, 2015 at 9:39

5 votes

Visualization of Eratosthenes’ sieve

answered Jul 20, 2014 at 21:36

5 votes

Accepted

Well-posed vs Well-conditioned

answered May 8, 2015 at 8:52

4 votes

Identification of a quadrilateral as a trapezoid, rectangle, or square

answered May 21, 2015 at 7:28

4 votes

Smallest number of points on plane that guarantees existence of a small angle

answered Apr 20, 2015 at 17:48

4 votes

Why represent a complex number $a+ib$ as $[\begin{smallmatrix}a & -b\\ b & \hphantom{-}a\end{smallmatrix}]$?

answered May 4, 2015 at 6:04

4 votes

Accepted

Remarkable relation between Fibonacci numbers and its squares!

answered Sep 22, 2014 at 7:04

4 votes

Visual Proofs of Series Summations

answered May 14, 2015 at 8:17

3 votes

Unusual mathematical terms

answered Jan 20, 2015 at 22:25

3 votes

Accepted

What is it like to understand complicated/advanced mathematics?

answered Apr 21, 2015 at 0:32

3 votes

Visual Proofs of Series Summations

answered May 23, 2015 at 13:26

3 votes

Are there infinitely many primes of the form $n!+1$?

answered Sep 28, 2014 at 18:31

3 votes

Accepted

Pigeonhole principle and room full of flies

answered Nov 7, 2014 at 15:08

3 votes

Generalizations of the golden and silver ratios, and their significance

answered Jul 22, 2014 at 11:23

3 votes

Accepted

Are there 3D geometric proofs of Fibonacci identities?

answered Jan 23, 2015 at 17:05

Stack Exchange Network

49 Answers

Is ${F_{n}}^2 - 28$ always a composite number?

Can you be 1/12th Cherokee?

For the Fibonacci numbers, show for all $n$: $F_1^2+F_2^2+\dots+F_n^2=F_nF_{n+1}$

Show me some pigeonhole problems

Only 12 polynomials exist with given properties

Technique for proving four given points to be concyclic?

Is an empty parenthesis a valid mathematical expression?

Software to render formulas to ASCII art

Is $n! + 1$ often a prime?

Prove or disprove that ${F_{n}}^2 + 41$ is always a composite (if $F_{n}$ is $n^{th}$ Fibonacci number)

Can I represent groups geometrically?

A Geometric Proof of $\zeta(2)=\frac{\pi^2}6$? (and other integer inputs for the Zeta)

King and knight moving on an infinite chess board

Splitting a sandwich and not feeling deceived

Are there any visual proofs for $\sum_{n=1}^\infty \frac{1}{n^2} = \frac{\pi^2}{6}$?

Effect on existing roots of polynomial when adding small higher-order term

Visualization of Eratosthenes’ sieve

Well-posed vs Well-conditioned

Identification of a quadrilateral as a trapezoid, rectangle, or square

Smallest number of points on plane that guarantees existence of a small angle

Why represent a complex number $a+ib$ as $[\begin{smallmatrix}a & -b\\ b & \hphantom{-}a\end{smallmatrix}]$?

Remarkable relation between Fibonacci numbers and its squares!

Visual Proofs of Series Summations

Unusual mathematical terms

What is it like to understand complicated/advanced mathematics?

Visual Proofs of Series Summations

Are there infinitely many primes of the form $n!+1$?

Pigeonhole principle and room full of flies

Generalizations of the golden and silver ratios, and their significance

Are there 3D geometric proofs of Fibonacci identities?