Question

On the conjecture that, for every $n$, $\lfloor e^{\frac{p_{n^2}\#}{p_{n^2 + 1}}}\rfloor $ is a square number.

score 428 · Answer 1 · 2026-04-29 12:44:28

428

Views

On the conjecture that, for every $n$, $\lfloor e^{\frac{p_{n^2}\#}{p_{n^2 + 1}}}\rfloor $ is a square number.

Published on 29 Apr 2026 - 12:44

score 149 · Answer 2 · 2026-04-29 12:53:10

149

Views

A conjecture about the asymptotic of the absolute value of $\sum_{k=1}^n\sin\left(N_k\right)$, where $N_k$ is the primorial of order $k$

Published on 29 Apr 2026 - 12:53

score 136 · Answer 3 · 2026-04-23 08:43:59

136

Views

How many zeroes end 2718#? [Primorial Prime Topic]

Published on 23 Apr 2026 - 8:43

score 74 · Answer 4 · 2026-05-10 13:12:50

74

Views

|$q^2$-$p*r$|=prime(n)#

Published on 10 May 2026 - 13:12

score 813 · Answer 5 · 2026-04-23 07:55:48

813

Views

What about of $\sum_{n=1}^\infty 1/10^{N_n}$ as transcendental number?

Published on 23 Apr 2026 - 7:55

score 68 · Answer 6 · 2026-04-23 11:44:19

68

Views

On numbers of the form $\pm x^2\pm N_k$, with $x\geq 1$ integer and $N_k$ denoting primorials

Published on 23 Apr 2026 - 11:44

score 851 · Answer 7 · 2026-04-23 21:44:28

851

Views

Does the sum of reciprocals of primorials converge?

Published on 23 Apr 2026 - 21:44

score 505 · Answer 8 · 2026-05-07 14:00:58

505

Views

What's the sum of the inverses of the Primorial numbers?

Published on 07 May 2026 - 14:00

score 66 · Answer 9 · 2026-04-23 10:16:56

66

Views

A first encounter with the diophantine equations $P(x)=p_n\#$, where $P(X)\in\mathbb{Z}[X]$ has $\deg(P)=2$ and $p_n\#$ is a primorial: an example

Published on 23 Apr 2026 - 10:16

score 90 · Answer 10 · 2026-04-23 01:49:41

90

Views

Does c#k + i actually generate all primes above c# (plus some composites)?

Published on 23 Apr 2026 - 1:49

score 85 · Answer 11 · 2026-04-23 23:28:15

85

Views

Show that $\lim_{n\to\infty}\mathcal I\left(\exp\left(\frac{2\pi\cdot i}{\log_n(p_n\#)}\right)\right)=0$

Published on 23 Apr 2026 - 23:28

score 349 · Answer 12 · 2026-05-10 12:54:05

349

Views

Is there an elementary argument for $\prod\limits_{p \le n}p < 3^n$ where $p$ is prime.

Published on 10 May 2026 - 12:54

score 581 · Answer 13 · 2026-05-10 12:53:36

581

Views

Counting integers less than $n$ that are relatively prime to $x\#$

Published on 10 May 2026 - 12:53

score 311 · Answer 14 · 2026-05-10 12:55:10

311

Views

Why is counting the number of least prime factors of a sequence of consecutive integers insufficient to resolve Legendre's Conjecture?

Published on 10 May 2026 - 12:55

score 150 · Answer 15 · 2026-05-10 12:52:53

150

Views

Inequality involving prime numbers

Published on 10 May 2026 - 12:52

List Question

On the conjecture that, for every $n$, $\lfloor e^{\frac{p_{n^2}\#}{p_{n^2 + 1}}}\rfloor $ is a square number.

A conjecture about the asymptotic of the absolute value of $\sum_{k=1}^n\sin\left(N_k\right)$, where $N_k$ is the primorial of order $k$

How many zeroes end 2718#? [Primorial Prime Topic]

|$q^2$-$p*r$|=prime(n)#

What about of $\sum_{n=1}^\infty 1/10^{N_n}$ as transcendental number?

On numbers of the form $\pm x^2\pm N_k$, with $x\geq 1$ integer and $N_k$ denoting primorials

Does the sum of reciprocals of primorials converge?

What's the sum of the inverses of the Primorial numbers?

A first encounter with the diophantine equations $P(x)=p_n\#$, where $P(X)\in\mathbb{Z}[X]$ has $\deg(P)=2$ and $p_n\#$ is a primorial: an example

Does c#k + i actually generate all primes above c# (plus some composites)?

Show that $\lim_{n\to\infty}\mathcal I\left(\exp\left(\frac{2\pi\cdot i}{\log_n(p_n\#)}\right)\right)=0$

Is there an elementary argument for $\prod\limits_{p \le n}p < 3^n$ where $p$ is prime.

Counting integers less than $n$ that are relatively prime to $x\#$

Why is counting the number of least prime factors of a sequence of consecutive integers insufficient to resolve Legendre's Conjecture?

Inequality involving prime numbers

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