Question

Is my estimate of the number of primes less than N = n/LOGn + n/(LOGn*LOG(n/10)) always better than n/LOGn or even n/(LOGn-1)

score 67 · Answer 1 · 2026-04-17 05:06:42

67

Views

Is my estimate of the number of primes less than N = n/LOGn + n/(LOGn*LOG(n/10)) always better than n/LOGn or even n/(LOGn-1)

Published on 17 Apr 2026 - 5:06

score 440 · Answer 2 · 2026-04-17 14:49:47

440

Views

For the case n=200 use the Central Limit Theorem to approximate the probability.

Published on 17 Apr 2026 - 14:49

score 79 · Answer 3 · 2026-04-12 19:03:51

79

Views

RAM program, which compute $ \lfloor \log_3(n) \rfloor $.

Published on 12 Apr 2026 - 19:03

score 1.3k · Answer 4 · 2026-04-16 12:23:49

1.3k

Views

What is the answer to $ \log_5 (25\sqrt 5)$?

Published on 16 Apr 2026 - 12:23

score 445 · Answer 5 · 2026-04-15 11:27:47

445

Views

Solving $\ln$ equations with polynomial terms.

Published on 15 Apr 2026 - 11:27

score 44 · Answer 6 · 2026-04-16 07:39:28

44

Views

Prove that $\sum_{i=1}^{n} \frac{1}{i} = \mathcal{O}(\sqrt{n})$

Published on 16 Apr 2026 - 7:39

score 88 · Answer 7 · 2026-04-16 02:59:29

88

Views

Curved data in Log-Log space, can this be described?

Published on 16 Apr 2026 - 2:59

score 639 · Answer 8 · 2026-04-16 02:54:26

639

Views

What is $\log_{1}{(1)}$ ? Is it undefined or can be any real number?

Published on 16 Apr 2026 - 2:54

score 30 · Answer 9 · 2026-04-15 14:41:55

30

Views

Are $\frac{\ln x_n}n\xrightarrow{n\to\infty}x$ and $x_n^{\frac1n}\xrightarrow{n\to\infty}y$ equivalent?

Published on 15 Apr 2026 - 14:41

score 171 · Answer 10 · 2026-04-12 20:02:54

171

Views

How to prove that $\ln (N+1) - \ln (N) \geq \frac{1}{N+1}$

Published on 12 Apr 2026 - 20:02

score 35 · Answer 11 · 2026-04-12 22:30:35

35

Views

Is $g(x)$ a decreasing function toward a limit? If yes, what is the limit?

Published on 12 Apr 2026 - 22:30

score 53 · Answer 12 · 2026-04-17 09:55:37

53

Views

Rationality of $\log_b a$ when at least $a$ or $b$ is irrational and $a,b>1$

Published on 17 Apr 2026 - 9:55

score 156 · Answer 13 · 2026-04-16 16:42:00

156

Views

What would be the domain of the function $\sqrt{\frac{\log_{0.2}(x-1)}{x^2-2x-8}}$?

Published on 16 Apr 2026 - 16:42

score 74 · Answer 14 · 2026-04-15 19:16:14

74

Views

Counter-intuitive inequality : $a^{\frac{a^2}{a^2+b^2}}b^{\frac{b^2}{a^2+b^2}}+a^{\frac{a}{a+b}}b^{\frac{b}{a+b}}\leq \frac{2(a^2+b^2)}{a+b}$

Published on 15 Apr 2026 - 19:16

score 59 · Answer 15 · 2026-04-16 11:15:22

59

Views

What would be the range for the function $f(x)=\log_3(5+4x-x^2)$?

Published on 16 Apr 2026 - 11:15

List Question

Is my estimate of the number of primes less than N = n/LOGn + n/(LOGn*LOG(n/10)) always better than n/LOGn or even n/(LOGn-1)

For the case n=200 use the Central Limit Theorem to approximate the probability.

RAM program, which compute $ \lfloor \log_3(n) \rfloor $.

What is the answer to $ \log_5 (25\sqrt 5)$?

Solving $\ln$ equations with polynomial terms.

Prove that $\sum_{i=1}^{n} \frac{1}{i} = \mathcal{O}(\sqrt{n})$

Curved data in Log-Log space, can this be described?

What is $\log_{1}{(1)}$ ? Is it undefined or can be any real number?

Are $\frac{\ln x_n}n\xrightarrow{n\to\infty}x$ and $x_n^{\frac1n}\xrightarrow{n\to\infty}y$ equivalent?

How to prove that $\ln (N+1) - \ln (N) \geq \frac{1}{N+1}$

Is $g(x)$ a decreasing function toward a limit? If yes, what is the limit?

Rationality of $\log_b a$ when at least $a$ or $b$ is irrational and $a,b>1$

What would be the domain of the function $\sqrt{\frac{\log_{0.2}(x-1)}{x^2-2x-8}}$?

Counter-intuitive inequality : $a^{\frac{a^2}{a^2+b^2}}b^{\frac{b^2}{a^2+b^2}}+a^{\frac{a}{a+b}}b^{\frac{b}{a+b}}\leq \frac{2(a^2+b^2)}{a+b}$

What would be the range for the function $f(x)=\log_3(5+4x-x^2)$?

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