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Alexander Kalmynin

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Top Questions
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23
Does the average primeness of natural numbers tend to zero?
mathoverflow.net

22
Find all positive integers $n$ such that $n+\tau{(n)}=2\varphi{(n)}$
mathoverflow.net

22
The constant $e$ represented by an infinite series
mathoverflow.net

22
Number of 1's in binary expansion of $a_n = \frac{2^{\varphi(3^n)}-1}{3^n}$
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20
Under a condition, $\frac{1}{b } = \sum_{n=1}^{\infty}\frac{1}{a_{n}}$ will never happen
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19
Are there any papers about this observation of the distribution of the zeros of the zeta function?
mathoverflow.net

18
Singularities of power series
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18
Can the equation $1+z+z^2=z^n$ for natural $n$ have multiple complex roots $z$?
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14
Probability that product is a perfect square
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14
Sum of the reciprocals of radicals
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14
Non trivial zeros of Riemann zeta function
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13
A sum involving Euler totient function
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13
on a strange character sum
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11
Are there more than two rational solutions to $a^b= b^a$?
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11
Asymptotics of $\operatorname{lcm} ((2-1), (3-1), (5-1), (7-1), (11-1), \dotsc, p_n-1 )$
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10
Must Mersenne numbers be divisible by arbitrary large primes with exponent one?
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10
$3\times 3$ magic squares consisting of entries of a dense set $D\subseteq \mathbb{N}$
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9
Eisenstein series $E_4(z)$ and $E_6(z)$ algebraically independent over $\mathbb{C}$
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9
Covering the primes with pairs of consecutive integers
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9
Condition for $8p+1$ divides $(2^p+1)/3$?
mathoverflow.net

8
Prove $ \sum_{i=0}^{2a+1} {2a+1 \choose i} B_{2a+1-i} [ (n+1)^i+(-n)^i ] =0 $ for Bernoulli numbers $B_{n}$
mathoverflow.net

8
Are there infinitely many nonzero Euler quotients $a(n)=\frac{2^{\phi(n)}-1}{n} \bmod n$?
mathoverflow.net

7
Is it true that $\det\big[\sin 2\pi\frac{(j-k)^2}p\big]_{1\le j,k\le p-1}=-\frac{p^{(p-1)/2}}{2^{p-1}}$ for each prime $p\equiv3\pmod4$?
mathoverflow.net

7
Is this Goldbach conjecture related quantity equal to the number of Goldbach decompositions up to a bounded quantity?
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7
Fourier transform of periodic distributions
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7
A conjecture concerning the equation $\sigma\left(\square\right)=\text{prime}$
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7
Factorising n! fitting $x^\frac{n}{k}$
mathoverflow.net

6
Estimating a sum over prime numbers
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6
Is the sequence $(\log(n!)\mod1)_{n\in\mathbb N}$ dense in the interval $[0,1]$?
mathoverflow.net

6
Counting squares modulo $p$ that are also prime in an interval
mathoverflow.net

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