Question

Show $O\left(\sqrt x\right) + \int_{\sqrt{x}}^{x}\frac{\pi(t)}{t}dt <<\frac{x}{\ln x}$

score 44 · Answer 1 · 2026-04-15 10:00:22

44

Views

Show $O\left(\sqrt x\right) + \int_{\sqrt{x}}^{x}\frac{\pi(t)}{t}dt <<\frac{x}{\ln x}$

Published on 15 Apr 2026 - 10:00

score 253 · Answer 2 · 2026-04-22 03:42:21

253

Views

Galois cover ramified at some points

Published on 22 Apr 2026 - 3:42

score 64 · Answer 3 · 2026-04-13 23:53:26

64

Views

Discrepancy in Definition of Discriminant of Binary Quadratic Form

Published on 13 Apr 2026 - 23:53

score 49 · Answer 4 · 2026-04-15 05:33:04

49

Views

The solution of the equation $a + b \cdot k \equiv 0 \pmod{n}$ for given values $a$, $b$ and $n$ (we are looking for value $k$)

Published on 15 Apr 2026 - 5:33

score 166 · Answer 5 · 2026-04-14 20:52:07

166

Views

About the solutions of $x^{\varphi(yz)}+y^{\varphi(xz)}=z^{\varphi(xy)}$, being $\varphi(n)$ the Euler's totient

Published on 14 Apr 2026 - 20:52

score 1k · Answer 6 · 2026-04-23 13:36:16

1k

Views

Is it only the generator of the group that commutes with all the other elements?

Published on 23 Apr 2026 - 13:36

score 108 · Answer 7 · 2026-04-17 10:48:43

108

Views

How often is $d(n+1)\ge d(n)$?

Published on 17 Apr 2026 - 10:48

score 65 · Answer 8 · 2026-03-25 07:45:48

65

Views

Irrational and transcendental numbers of the form $\sum_{n=1}^\infty\frac{\operatorname{rad}(n)^\alpha}{s_n}$: proof verification and examples

Published on 25 Mar 2026 - 7:45

score 68 · Answer 9 · 2026-04-16 15:07:48

68

Views

Prove that $p^2 | (p!+p)$ for any prime $p.$

Published on 16 Apr 2026 - 15:07

score 220 · Answer 10 · 2026-04-11 15:24:10

220

Views

Question about notation in Hardy & Wright's Introduction to the Theory of Numbers

Published on 11 Apr 2026 - 15:24

score 89 · Answer 11 · 2026-04-17 12:06:36

89

Views

modular arithmetic, prime powers, existence and uniqueness

Published on 17 Apr 2026 - 12:06

score 27 · Answer 12 · 2026-04-15 05:07:12

27

Views

Bivariate expression in mod q with same roots as expression in mod p

Published on 15 Apr 2026 - 5:07

score 96 · Answer 13 · 2026-04-15 12:15:28

96

Views

Can we find all solutions to the equation $\frac{\phi(n)}{\phi(n-1)}=5$, where $\phi(n)$ denotes the totient function?

Published on 15 Apr 2026 - 12:15

score 202 · Answer 14 · 2026-04-12 02:34:38

202

Views

Possible number combinations within a range of sums

Published on 12 Apr 2026 - 2:34

score 142 · Answer 15 · 2026-04-16 15:14:30

142

Views

Is this a known formula? $ \prod_{k=0}^n \left(1 - \frac{a_k}{N}\right)$

Published on 16 Apr 2026 - 15:14

List Question

Show $O\left(\sqrt x\right) + \int_{\sqrt{x}}^{x}\frac{\pi(t)}{t}dt <<\frac{x}{\ln x}$

Galois cover ramified at some points

Discrepancy in Definition of Discriminant of Binary Quadratic Form

The solution of the equation $a + b \cdot k \equiv 0 \pmod{n}$ for given values $a$, $b$ and $n$ (we are looking for value $k$)

About the solutions of $x^{\varphi(yz)}+y^{\varphi(xz)}=z^{\varphi(xy)}$, being $\varphi(n)$ the Euler's totient

Is it only the generator of the group that commutes with all the other elements?

How often is $d(n+1)\ge d(n)$?

Irrational and transcendental numbers of the form $\sum_{n=1}^\infty\frac{\operatorname{rad}(n)^\alpha}{s_n}$: proof verification and examples

Prove that $p^2 | (p!+p)$ for any prime $p.$

Question about notation in Hardy & Wright's Introduction to the Theory of Numbers

modular arithmetic, prime powers, existence and uniqueness

Bivariate expression in mod q with same roots as expression in mod p

Can we find all solutions to the equation $\frac{\phi(n)}{\phi(n-1)}=5$, where $\phi(n)$ denotes the totient function?

Possible number combinations within a range of sums

Is this a known formula? $ \prod_{k=0}^n \left(1 - \frac{a_k}{N}\right)$

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