List questions from primorial

Published on 25 Mar 2026 - 6:12

115

Views

Frequency of integers $x, x+2$ such that gcd$\left(x(x+2),p\right)=1$

Published on 25 Mar 2026 - 9:28

82

Views

What is the maximum number of primes between $p_n$ and $p_n\#$ you can multiply together without the product exceeding $p_n\#$?

Published on 16 Apr 2026 - 3:52

54

Views

Reasoning about $x(x+2)$ relatively prime to $\dfrac{p\#}{w}$

Published on 25 Mar 2026 - 9:26

261

Views

A conjecture about primorials

Published on 10 Apr 2026 - 22:19

168

Views

Can we always find a prime of the form $\ p$#$+q\ $?

Published on 25 Mar 2026 - 6:12

37

Views

Another question about numbers of the form $p_i\#+p_{n+1}$

Published on 25 Mar 2026 - 6:12

225

Views

Reduced residue systems and prime k-tuple bijection

Published on 25 Mar 2026 - 6:11

75

Views

Infinitude of composite numbers of the form $n\# \pm 1$

Published on 25 Mar 2026 - 6:12

261

Views

How many regulars do the primorials 223092870 and 6469693230 have?

Published on 25 Mar 2026 - 7:47

462

Views

Is my conjecture true? : Every primorial is a superior highly regular number, and every superior highly regular number is a primorial.

Published on 25 Mar 2026 - 6:12

145

Views

Products of primes up to the $n$th prime

Published on 15 Apr 2026 - 5:14

862

Views

What is the product of $p_i-1 \over p_i$

Published on 11 Apr 2026 - 15:13

152

Views

The primorial version of $e^x$

Published on 11 Apr 2026 - 0:28

28

Views

Primes of the form $\frac{p_m\#}{2} \pm 2^j$

Published on 19 Apr 2026 - 0:09

List Question

Showing that for $x \ge 7$, $x\# \ge x^2+x$

Frequency of integers $x, x+2$ such that gcd$\left(x(x+2),p\right)=1$

What is the maximum number of primes between $p_n$ and $p_n\#$ you can multiply together without the product exceeding $p_n\#$?

Reasoning about $x(x+2)$ relatively prime to $\dfrac{p\#}{w}$

A conjecture about primorials

Can we always find a prime of the form $\ p$#$+q\ $?

Another question about numbers of the form $p_i\#+p_{n+1}$

Reduced residue systems and prime k-tuple bijection

Infinitude of composite numbers of the form $n\# \pm 1$

How many regulars do the primorials 223092870 and 6469693230 have?

Is my conjecture true? : Every primorial is a superior highly regular number, and every superior highly regular number is a primorial.

Products of primes up to the $n$th prime

What is the product of $p_i-1 \over p_i$

The primorial version of $e^x$

Primes of the form $\frac{p_m\#}{2} \pm 2^j$

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