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$$\frac{1}{1-x}=1+x+x^2+\cdots$$

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15
Factorization of a $116$-digit number
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9
show that number theory inequality $a_{1}+a_{2}+\cdots+a_{k}<\frac{5}{2}n$
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8
How many massively palindromic primes exist?
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8
How to prove? $e^2<8$
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7
Find $A=+\frac{3}{4×8}-\frac{3×5}{4×8×12}+\frac{3×5×7}{4×8×12×16}-···$
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7
Inequality in number theory
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6
Which of the following $u=\sqrt{c+1} - \sqrt{c}$ and $v=\sqrt{c} - \sqrt{c-1}$ is greater?
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6
Prove that $\sum\limits_{cyc}\frac{a-b}{\sqrt{b+c}}\geq0$
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6
convergence of $\sum\limits_{n=1}^\infty \frac{(-1)^{\lfloor \sqrt{n}\rfloor}}{\sqrt{n}}$
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6
Are all values of the totient function for composite numbers between two consecutive primes smaller than the totient values of those primes?
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6
A $\frac{1}{3}$ Conjecture?
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6
Does the prime sequence satisfy $p_n+p_m \le p_{n+m} < p_n p_m$?
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6
Solve $7^x+x^4+47=y^2$
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6
Wordle solver challenge
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5
Proving that $2^{744}-1$ is a multiple of $2^{248}+2^{124}+1$ and $2^{93}+2^{47}+1$
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5
Find solution for $|p^q-q^p|\leq 2$
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5
How does one evaluate $\lim _{n\to \infty }\left(\sqrt[n]{\int _0^1\:\left(1+x^n\right)^ndx}\right)$?
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5
Number theory: divisors of $|2016^m - 36^n|$.
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5
How to prove this inequality? Thanks
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5
Why $\left(\sum_{p\leq \sqrt x}\frac{1}{p}\right)^2\leq \sum_{p_1p_2\leq x}\frac{1}{p_1p_2}\leq\left(\sum_{p\leq x}\frac{1}{p}\right)^2$?
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