User Old John

425 votes

Can't argue with success? Looking for "bad math" that "gets away with it"

examples-counterexamples big-list

answered Dec 17, 2012 at 11:58

74 votes

What are some examples of notation that really improved mathematics?

answered Nov 7, 2013 at 18:56

65 votes

Accepted

Expressing $2002^{2002}$ as a sum of cubes

number-theory

answered Jun 26, 2012 at 12:56

45 votes

Too old to start math

soft-question self-learning advice learning

answered Nov 15, 2012 at 0:17

45 votes

Infiniteness of non-twin primes.

elementary-number-theory prime-numbers prime-twins

answered Dec 20, 2013 at 18:21

40 votes

Accepted

A real solution to a cubic equation

algebra-precalculus

answered Aug 27, 2013 at 2:05

35 votes

Variation of Pythagorean triplets: $x^2+y^2 = z^3$

number-theory diophantine-equations

answered Mar 19, 2013 at 15:51

34 votes

Accepted

"Negative" versus "Minus"

algebra-precalculus soft-question education

answered Jun 11, 2012 at 21:36

33 votes

Accepted

Give an example of a noncyclic Abelian group all of whose proper subgroups are cyclic.

abstract-algebra abelian-groups cyclic-groups

answered Aug 22, 2012 at 17:15

31 votes

Accepted

How to define the $0^0$?

real-analysis

answered Dec 15, 2012 at 21:15

31 votes

Accepted

Is there any nonconstant function that grows (at infinity) slower than all iterations of the (natural) logarithm?

real-analysis limits logarithms asymptotics

answered Nov 21, 2013 at 16:19

30 votes

Accepted

Evaluate $\int_0^\pi xf(\sin x)dx$

integration definite-integrals

answered Jun 17, 2012 at 8:49

22 votes

Is there any simple method to calculate $\sqrt x$ without using logarithm

logarithms arithmetic radicals

answered Oct 24, 2013 at 10:40

21 votes

Example of an infinite sequence of irrational numbers converging to a rational number?

sequences-and-series

answered Jul 1, 2012 at 8:33

21 votes

'Linux' math program with interactive terminal?

matrices modular-arithmetic math-software computer-algebra-systems

answered Aug 3, 2012 at 10:04

19 votes

Proofs that every mathematician should know.

soft-question big-list

answered Aug 5, 2012 at 5:46

19 votes

Accepted

Why is it legit to evaluate $\lim_{x\rightarrow 1} \frac{(x-1)(x+1)}{x-1}$ by cancelling common factors?

limits

answered Jun 22, 2012 at 7:13

18 votes

Accepted

Why the number e(=2.71828) was chosen as the natural base for logarithm functions?

logarithms exponential-function

answered Jul 29, 2012 at 7:56

17 votes

Prove that there does not exist any positive integers pair $(m, n)$ satisfying: $n(n + 1)(n + 2)(n + 3) = m{(m + 1)^2}{(m + 2)^3}{(m + 3)^4}$

number-theory

answered Jul 10, 2012 at 17:05

17 votes

Accepted

Write down the sum of sum of sum of digits of $4444^{4444}$

number-theory

answered Jul 12, 2012 at 5:48

17 votes

Accepted

What is the easy way to calculate the roots of $z^4+4z^3+6z^2+4z$?

calculus real-analysis complex-analysis self-learning

answered Oct 29, 2013 at 21:47

15 votes

In plain English, why does conversion from hexadecimal to binary work so cleanly?

binary

answered Dec 7, 2013 at 17:12

14 votes

The Best of Dover Books (a.k.a the best cheap mathematical texts)

reference-request education big-list book-recommendation

answered Apr 12, 2013 at 19:57

14 votes

Do we have always $f(A \cap B) = f(A) \cap f(B)$?

functions elementary-set-theory examples-counterexamples

answered Jul 14, 2012 at 13:14

13 votes

What are rational integer coefficients?

commutative-algebra terminology

answered Jul 18, 2012 at 14:14

13 votes

Accepted

What is the prerequisite knowledge for learning Galois theory?

abstract-algebra reference-request soft-question galois-theory

answered Jun 2, 2012 at 12:12

13 votes

Accepted

Conjecture similar to Fermat's Theorem.

abstract-algebra number-theory contest-math

answered Nov 21, 2013 at 12:03

12 votes

Accepted

What are the coordinates of the vertices of a regular tetrahedron, relative to its centroid?

geometry 3d

answered Nov 11, 2013 at 17:49

12 votes

How to find the equation of a line, tangent to a circle, that passes through a given external point

circles tangent-line

answered Oct 29, 2013 at 0:12

12 votes

Big List of Fun Math Books

big-list recreational-mathematics

answered Jul 7, 2012 at 22:40

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295 Answers

Can't argue with success? Looking for "bad math" that "gets away with it"

What are some examples of notation that really improved mathematics?

Expressing $2002^{2002}$ as a sum of cubes

Too old to start math

Infiniteness of non-twin primes.

A real solution to a cubic equation

Variation of Pythagorean triplets: $x^2+y^2 = z^3$

"Negative" versus "Minus"

Give an example of a noncyclic Abelian group all of whose proper subgroups are cyclic.

How to define the $0^0$?

Is there any nonconstant function that grows (at infinity) slower than all iterations of the (natural) logarithm?

Evaluate $\int_0^\pi xf(\sin x)dx$

Is there any simple method to calculate $\sqrt x$ without using logarithm

Example of an infinite sequence of irrational numbers converging to a rational number?

'Linux' math program with interactive terminal?

Proofs that every mathematician should know.

Why is it legit to evaluate $\lim_{x\rightarrow 1} \frac{(x-1)(x+1)}{x-1}$ by cancelling common factors?

Why the number e(=2.71828) was chosen as the natural base for logarithm functions?

Prove that there does not exist any positive integers pair $(m, n)$ satisfying: $n(n + 1)(n + 2)(n + 3) = m{(m + 1)^2}{(m + 2)^3}{(m + 3)^4}$

Write down the sum of sum of sum of digits of $4444^{4444}$

What is the easy way to calculate the roots of $z^4+4z^3+6z^2+4z$?

In plain English, why does conversion from hexadecimal to binary work so cleanly?

The Best of Dover Books (a.k.a the best cheap mathematical texts)

Do we have always $f(A \cap B) = f(A) \cap f(B)$?

What are rational integer coefficients?

What is the prerequisite knowledge for learning Galois theory?

Conjecture similar to Fermat's Theorem.

What are the coordinates of the vertices of a regular tetrahedron, relative to its centroid?

How to find the equation of a line, tangent to a circle, that passes through a given external point

Big List of Fun Math Books