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104
Visually deceptive "proofs" which are mathematically wrong
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37
A fair coin is flipped 2k times. What is the probability that it comes up tails more often than it comes up heads?
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20
What are some theorems that currently only have computer-assisted proofs?
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18
Definition: rational prime, rational integer
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14
Rolling a die until obtaining the face 6. Whats the expected amout of the sum?
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14
Doubt regarding divisibility of the expression: $1^{101}+2^{101} \cdot \cdot \cdot +2016^{101}$
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14
Explanation of a joke on abelian groups (grapes).
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13
Is $\infty / \infty = 1$?
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11
Evaluating $\sum_{n=1}^{\infty} \frac{1}{n^2+1}$
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10
Is it true that $2^n$ is $O(n!)$?
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9
Can a queue automaton recognize palindromes?
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9
How many 6 digit numbers are possible with no digit appearing more than thrice?
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9
How to solve this algorithmic math olympiad problem?
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9
Is the integer $0$ a deficient number?
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7
Example of a very simple math statement in old literature which is (verbatim) a pain to understand
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7
Is $\frac{0}{0}$ different from $\frac{1}{0}$?
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7
Visual explanation of the following statement:
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7
Prove that the equation $x^3 + 10000 = y^3$ has no solutions
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7
Calculate the last digit of $3^{347}$
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7
Does $p = x^2 + 9y^2$ for some $x$, $y \in \mathbb{Z}$ if and only if $p \equiv 1 \text{ mod }12$?
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7
Is there a set $A$ such that power set of $A $ has a bijection with $\mathbb{N}$?
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6
Evaluation of $\lim_{x\to 0} \frac{(1+x)^{1/x}-e+\frac{ex}{2}}{x^2}$
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6
Let $H\unlhd G$ with $[G:H]=p$, prime. Let $K\le G$ and $K\not\subseteq H$. Then is $G=HK$?
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6
Divisibility Of $(2^{32} +1)$
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6
The value of an integral of a piecewise defined function
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6
Find the value of this series
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6
In the expansion of $(x_1+x_2+x_3+...+x_k)^n$ , the coefficient of $(x_1^{n_1} x_2^{n_2} ... x_k^{n_k} )$?
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6
How to figure out if $x,y,z$ are postive reals and $x(1+y)+y(1+z)+z(1+x)=6\sqrt{xyz}$ then $xyz=1$
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6
Find the value of a+b+c
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6
What is zero times infinity?
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