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40
Is Kumar Eswaran's proposed proof of the Riemann Hypothesis correct?
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13
Find $f(x)$ such that it maximizes $\int_0^1 \left(f(f(x))-f(x)\right) dx$
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11
Investigating the recurrence relation $x_{n+1}=\frac{x_{n}+x_{n-1}}{(x_{n},\,x_{n-1})}+1$
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11
Is $a$ bigger than $0$ or not?
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10
Find $\lim_{x\rightarrow 0}x^{x^{x^x}}$
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9
If $a^2-a-1=0$ where $a\gt0$, then what does $a^6$ equal? (Olympiad question)
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9
Why is $0^i$ undefined?
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8
Convergence of $\sum\frac{1}{n(\ln n)^c}$
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8
Sum of the series $\sum_{n=0}^{\infty} \lfloor nr \rfloor x^n$ where $r$ is rational?
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8
Is Stephen Marshall's 2017 "Elementary Proof of the Goldbach Conjecture" correct?
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8
How to assign 3 rooms to 3 people with 1 coin randomly?
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8
Find $\lim\limits_{n \to \infty} \int\limits_0^1t^n \cdot e^t dt$.
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8
Let $A,B$ be $2\times 2$ matrices, $AB-BA=A^2$, and $\mathrm{Tr}(B) = 0$. Show that $B^2=0$.
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8
True or False?: There are infinitely many continuous functions $f$ for which $\int_0^1f(x)(1-f(x))dx=\frac{1}{4}$
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8
Issue with Cantor's proof of the Unaccountability of the Reals
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7
Show that $\sum_{n=1}^{\infty} \frac{(-1)^{n}}{\sqrt{n}}\sin(1 + \frac{x}{n})$ converges uniformly on $\mathbb{R}$
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7
If $\frac{x^2+y^2+x+y-1}{xy-1}$ is an integer for positive integers $x$ and $y$, then its value is $7$.
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7
Find $n$ and $m$, if $n,m$ are natural numbers, such that $m^6 + 279 = 2^n$.
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7
If $f(x)>0$ is increasing and $g(x)>0$ is decreasing, then, is it clear if $f(x)g(x)$ is increasing or decreasing?
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6
True or false: For every $n\in\mathbb{Z^+}$, there exist $a,b,c$ such that $y=(x-a)^2+b$ and $y=c$ enclose exactly $n$ lattice points.
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6
Is this real numbers proof formal enough?
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6
Does $\ \sum_{n=1}^{\infty} \frac{\sin(2^n x)}{n}\ $ converge for all $x\ ?$
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6
Why do calculus textbooks gloss over absolute values?
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6
Why is the set of real numbers non-enumerable?
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6
Prove that $a_{n+1} = a_n^2 - a_n+1$ for all $n$ large enough
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6
Proof of $(\sin x)' = \cos x$ through trigonometric identity and definition of derivative
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6
How can we show that there is a zero of $f$
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6
Proving $\def\n#1{\left(\frac12+\sum\limits_{k=1}^n{#1}^{k^2}\right)}\n{a}\n{b}\ge{\n{(ab)}}^2$
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6
Is $2^n$ always a sum of exactly $n$ primes for $n \geq 2$?
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6
Polynomial that indicates whether or not $x = 1 \pmod n$.
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