Question

Counting the number of integers less than $x$ that are relatively prime to a primorial $p\#$

score 174 · Answer 1 · 2026-03-25 13:57:04

174

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Counting the number of integers less than $x$ that are relatively prime to a primorial $p\#$

Published on 25 Mar 2026 - 13:57

score 216 · Answer 2 · 2026-03-25 13:56:57

216

Views

Factors of primorial of number

Published on 25 Mar 2026 - 13:56

score 91 · Answer 3 · 2026-03-25 13:57:05

91

Views

Estimating the number of integers in a sequence of consecutive integers that are relatively prime to a given primorial

Published on 25 Mar 2026 - 13:57

score 34 · Answer 4 · 2026-03-25 13:57:51

34

Views

Is there a standard notation for $(p_i-k)(p_{i-1}-k)(p_{i-2}-k)\cdots$ where $k$ is a small positive integer

Published on 25 Mar 2026 - 13:57

score 109 · Answer 5 · 2026-05-10 20:40:31

109

Views

Estimating the number of elements with a given least prime factor in a sequence of consecutive integers

Published on 10 May 2026 - 20:40

score 122 · Answer 6 · 2026-03-25 13:53:19

122

Views

Does $\log(p \#)\approx p$ hold for large $p$?

Published on 25 Mar 2026 - 13:53

score 102 · Answer 7 · 2026-03-25 13:56:28

102

Views

For which $k$ with $0<k<210637$ is $k\times 3571\# \pm 1$ a twin-prime-pair?

Published on 25 Mar 2026 - 13:56

score 96 · Answer 8 · 2026-04-16 03:33:43

96

Views

Reasoning about Chinese Remainder Theorem relative a primorial where for all primes some number $k \equiv 1 \pmod {p_i}$

Published on 16 Apr 2026 - 3:33

score 73 · Answer 9 · 2026-04-08 12:12:19

73

Views

Reasoning about the congruence classes modulo $p_n\#$ related to $(\frac{p_n\#}{p_i})^k$

Published on 08 Apr 2026 - 12:12

score 264 · Answer 10 · 2026-05-10 11:19:47

264

Views

Is every primorial number squarefree?

Published on 10 May 2026 - 11:19

score 119 · Answer 11 · 2026-04-20 05:04:07

119

Views

Would this sequence (OEIS A068374) be somehow attached to the twin prime conjecture?

Published on 20 Apr 2026 - 5:04

score 72 · Answer 12 · 2026-04-04 00:34:37

72

Views

Is there a standard mathematical way to analyze the gaps between elements of a reduced residue system modulo a primorial?

Published on 04 Apr 2026 - 0:34

score 209 · Answer 13 · 2016-02-03 07:03:39

209

Views

Asymptotic bounds on sum of primes

Published on 03 Feb 2016 - 7:03

score 90 · Answer 14 · 2026-04-21 02:49:17

90

Views

Prove that for $n \ge 3$, for any integer $w$, $\exists x$ such that $w < x < w + p_n\#$ and lpf$(x) \ge p_{n+3}$

Published on 21 Apr 2026 - 2:49

score 330 · Answer 15 · 2026-05-10 11:21:54

330

Views

Prime conjecture containing primorial: the difference between the primorial $n\#$ and the smallest prime $p > n\# + 1$ is always a prime

Published on 10 May 2026 - 11:21

List Question

Counting the number of integers less than $x$ that are relatively prime to a primorial $p\#$

Factors of primorial of number

Estimating the number of integers in a sequence of consecutive integers that are relatively prime to a given primorial

Is there a standard notation for $(p_i-k)(p_{i-1}-k)(p_{i-2}-k)\cdots$ where $k$ is a small positive integer

Estimating the number of elements with a given least prime factor in a sequence of consecutive integers

Does $\log(p \#)\approx p$ hold for large $p$?

For which $k$ with $0<k<210637$ is $k\times 3571\# \pm 1$ a twin-prime-pair?

Reasoning about Chinese Remainder Theorem relative a primorial where for all primes some number $k \equiv 1 \pmod {p_i}$

Reasoning about the congruence classes modulo $p_n\#$ related to $(\frac{p_n\#}{p_i})^k$

Is every primorial number squarefree?

Would this sequence (OEIS A068374) be somehow attached to the twin prime conjecture?

Is there a standard mathematical way to analyze the gaps between elements of a reduced residue system modulo a primorial?

Asymptotic bounds on sum of primes

Prove that for $n \ge 3$, for any integer $w$, $\exists x$ such that $w < x < w + p_n\#$ and lpf$(x) \ge p_{n+3}$

Prime conjecture containing primorial: the difference between the primorial $n\#$ and the smallest prime $p > n\# + 1$ is always a prime

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