User Angela Pretorius

36 votes

1 answer

4k views

A continued fraction involving prime numbers

asked Sep 12, 2011 at 11:09

35 votes

3 answers

1k views

Will 3 lights illuminate any convex solid?

asked Jan 9, 2012 at 9:22

18 votes

3 answers

2k views

Closed form for a pair of continued fractions

asked Oct 3, 2011 at 11:21

15 votes

3 answers

10k views

Is there any way to integrate $\frac1{f(x)}$ in terms of the integral of $f(x)$?

asked Sep 6, 2011 at 15:12

12 votes

4 answers

534 views

For which $n$ are there primitive Pythagorean triples with legs of lengths $a$ and $a+n$?

asked Oct 7, 2011 at 12:22

8 votes

2 answers

2k views

rational angles with sines expressible with radicals [duplicate]

asked Sep 20, 2011 at 15:32

8 votes

1 answer

2k views

Can $x^{n}-1$ be prime if $x$ is not a power of $2$ and $n$ is odd?

asked Oct 20, 2011 at 12:16

8 votes

1 answer

258 views

cyclic permutations of periods of recurring fractions

asked Jan 17, 2012 at 11:59

7 votes

2 answers

822 views

Closed form for $(p-n)!\pmod{p}$ where $p$ is prime [duplicate]

asked Jan 17, 2012 at 15:53

7 votes

1 answer

722 views

cake cutting puzzle: why do finitely many cuts suffice?

asked May 20, 2013 at 10:10

6 votes

3 answers

394 views

Does an uncountable Golomb ruler exist?

asked Nov 3, 2014 at 19:18

6 votes

0 answers

800 views

curve which crosses itself at every point

asked Jul 13, 2013 at 7:34

6 votes

3 answers

8k views

probabilty of random points on perimeter containing center

asked Jul 18, 2012 at 7:03

6 votes

2 answers

198 views

square squares with diagonals also squares

asked Nov 9, 2011 at 9:53

5 votes

2 answers

620 views

Integer solutions to $(a_1+a_2+\cdots+a_n)^n=a_1a_2\cdots a_n$?

asked Sep 11, 2011 at 7:01

5 votes

1 answer

121 views

powers of $\frac{1+\sqrt a}2$

asked Mar 14, 2012 at 8:57

5 votes

3 answers

110 views

sequence $U_k=a_0U_{k-1}+a_1U_{k-2}+\cdots+a_{k-1}U_0$

asked Mar 23, 2012 at 13:24

5 votes

2 answers

813 views

square that can be written as mean of as many pairs of squares as possible

asked Dec 27, 2011 at 8:03

5 votes

1 answer

174 views

Eratosthenes-like sieve - infinitely many left unstruck?

asked May 23, 2013 at 12:54

5 votes

1 answer

218 views

area ratios when random line cuts regular polygon

asked Jan 2, 2012 at 4:49

5 votes

0 answers

149 views

divisibility by powers of $2$ of diagonal sums of infinite latin square

asked Nov 9, 2012 at 21:14

4 votes

1 answer

88 views

Do primes modulo k form a normal sequence?

asked Nov 25, 2014 at 22:58

4 votes

2 answers

139 views

Direct product of a finite group with an infinite symmetric group

asked Apr 9, 2015 at 7:18

4 votes

1 answer

97 views

Is the free product of $\mathbb{Z}$ with $C_2$ virtually torsion-free?

asked May 2, 2019 at 15:13

4 votes

1 answer

562 views

What is the expected root mean square determinant of an $n\times n$ matrix?

asked Feb 6, 2012 at 10:06

4 votes

2 answers

1k views

powers of 2 in base 3

asked Apr 3, 2012 at 7:00

4 votes

0 answers

174 views

max number of times integer $>1$ appears in pascals triangle

asked Apr 13, 2012 at 6:34

4 votes

0 answers

1k views

sum of $n^{th}$ powers of prime factors of $x$

asked Jun 2, 2012 at 5:05

4 votes

0 answers

136 views

how many numbers of irrationality measure $x$

asked Jul 6, 2012 at 6:51

3 votes

1 answer

378 views

integral apollonian sphere packing

asked May 22, 2012 at 8:06

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49 Questions

A continued fraction involving prime numbers

Will 3 lights illuminate any convex solid?

Closed form for a pair of continued fractions

Is there any way to integrate $\frac1{f(x)}$ in terms of the integral of $f(x)$?

For which $n$ are there primitive Pythagorean triples with legs of lengths $a$ and $a+n$?

rational angles with sines expressible with radicals [duplicate]

Can $x^{n}-1$ be prime if $x$ is not a power of $2$ and $n$ is odd?

cyclic permutations of periods of recurring fractions

Closed form for $(p-n)!\pmod{p}$ where $p$ is prime [duplicate]

cake cutting puzzle: why do finitely many cuts suffice?

Does an uncountable Golomb ruler exist?

curve which crosses itself at every point

probabilty of random points on perimeter containing center

square squares with diagonals also squares

Integer solutions to $(a_1+a_2+\cdots+a_n)^n=a_1a_2\cdots a_n$?

powers of $\frac{1+\sqrt a}2$

sequence $U_k=a_0U_{k-1}+a_1U_{k-2}+\cdots+a_{k-1}U_0$

square that can be written as mean of as many pairs of squares as possible

Eratosthenes-like sieve - infinitely many left unstruck?

area ratios when random line cuts regular polygon

divisibility by powers of $2$ of diagonal sums of infinite latin square

Do primes modulo k form a normal sequence?

Direct product of a finite group with an infinite symmetric group

Is the free product of $\mathbb{Z}$ with $C_2$ virtually torsion-free?

What is the expected root mean square determinant of an $n\times n$ matrix?

powers of 2 in base 3

max number of times integer $>1$ appears in pascals triangle

sum of $n^{th}$ powers of prime factors of $x$

how many numbers of irrationality measure $x$

integral apollonian sphere packing