Question

There exist infinitely many primes $p \equiv 1 \pmod {2^n}$

score 271 · Answer 1 · 2019-10-22 00:27:30

There exist infinitely many primes $p \equiv 1 \pmod {2^n}$

Published on 22 Oct 2019 - 0:27

score 45 · Answer 2 · 2026-04-12 14:12:17

Wäre es ein Fortschritt, die Anzahl der Primzahlen (Menge) bis zu einer gewählten Größe zu berechnen oder ist es bereits bekannt?

score 146 · Answer 3 · 2026-04-13 09:50:16

146

Views

Is the set of primes which can be represented as sum of different primes infinite?

Published on 13 Apr 2026 - 9:50

score 87 · Answer 4 · 2019-10-22 15:11:14

87

Views

Inequality:Prime between $\pi(x)$ and $\pi(x^{1-\epsilon})$ when $\epsilon>0$

Published on 22 Oct 2019 - 15:11

score 117 · Answer 5 · 2026-04-13 23:29:39

117

Views

$\frac{\log{x}}{x^{\epsilon}}$ Tends to 0 as x Tends to Infinity?

Published on 13 Apr 2026 - 23:29

score 87 · Answer 6 · 2026-04-15 01:04:20

87

Views

Growth rate of primes of the form $a n+1$, with $n$ fixed

Published on 15 Apr 2026 - 1:04

score 269 · Answer 7 · 2026-04-15 04:08:28

269

Views

A Wallis-like formula for $\pi$: $(\frac21)^2(\frac23)^2(\frac43)^2(\frac45)(\frac65)^2(\frac67)^2(\frac87)(\frac89)^2\cdots$

Published on 15 Apr 2026 - 4:08

score 45 · Answer 8 · 2019-10-23 15:02:56

45

Views

Prime-quadruples of the form $((2k)!-2k-1,(2k)!-1,(2k)!+1,(2k)!+2k+1)$

Published on 23 Oct 2019 - 15:02

score 302 · Answer 9 · 2026-03-27 05:41:49

302

Views

A Wallis-like formula for $\frac{\pi}{4}$: $(\frac45)(\frac87)(\frac{10}{11})(\frac{12}{13})(\frac{14}{13})(\frac{16}{17})(\frac{18}{17})\cdots$

Published on 27 Mar 2026 - 5:41

score 83 · Answer 10 · 2026-04-12 14:09:58

83

Views

How many prime $p$ that not satisfy with any integer $x$ in $x^3-2028x+2018\equiv 0 \pmod{p^3}$

Published on 12 Apr 2026 - 14:09

score 131 · Answer 11 · 2026-04-14 18:11:02

131

Views

Is the identity theorem for holomorphic functions being correctly applied here in the proof of this trivial claim?

Published on 14 Apr 2026 - 18:11

score 33 · Answer 12 · 2026-04-15 03:58:16

Why is that for $x = \frac{\sum_{n=1}^{(p-1)} n}{p}$, where $p$ is a prime number, $x$ is always a positive integer?

score 57 · Answer 13 · 2026-03-25 09:38:49

57

Views

A number theory problem: show $N_{x^2−n}(p^k) = 2$ for all $k = 1,2,3,...$

Published on 25 Mar 2026 - 9:38

score 51 · Answer 14 · 2026-04-13 08:14:04

51

Views

Is it the case that adjacent odd numbers being prime is statistically independent?

Published on 13 Apr 2026 - 8:14

score 168 · Answer 15 · 2026-04-14 06:23:24

168

Views

Prime integer p such that -1 is a square mod p

Published on 14 Apr 2026 - 6:23

List Question

There exist infinitely many primes $p \equiv 1 \pmod {2^n}$

Wäre es ein Fortschritt, die Anzahl der Primzahlen (Menge) bis zu einer gewählten Größe zu berechnen oder ist es bereits bekannt?

Is the set of primes which can be represented as sum of different primes infinite?

Inequality:Prime between $\pi(x)$ and $\pi(x^{1-\epsilon})$ when $\epsilon>0$

$\frac{\log{x}}{x^{\epsilon}}$ Tends to 0 as x Tends to Infinity?

Growth rate of primes of the form $a n+1$, with $n$ fixed

A Wallis-like formula for $\pi$: $(\frac21)^2(\frac23)^2(\frac43)^2(\frac45)(\frac65)^2(\frac67)^2(\frac87)(\frac89)^2\cdots$

Prime-quadruples of the form $((2k)!-2k-1,(2k)!-1,(2k)!+1,(2k)!+2k+1)$

A Wallis-like formula for $\frac{\pi}{4}$: $(\frac45)(\frac87)(\frac{10}{11})(\frac{12}{13})(\frac{14}{13})(\frac{16}{17})(\frac{18}{17})\cdots$

How many prime $p$ that not satisfy with any integer $x$ in $x^3-2028x+2018\equiv 0 \pmod{p^3}$

Is the identity theorem for holomorphic functions being correctly applied here in the proof of this trivial claim?

Why is that for $x = \frac{\sum_{n=1}^{(p-1)} n}{p}$, where $p$ is a prime number, $x$ is always a positive integer?

A number theory problem: show $N_{x^2−n}(p^k) = 2$ for all $k = 1,2,3,...$

Is it the case that adjacent odd numbers being prime is statistically independent?

Prime integer p such that -1 is a square mod p

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