List questions from primorial

Published on 30 Nov 2019 - 0:50

38

Views

Showing that for $p_k\ \ge 31, p_{k-1}\# > (p_{k+1})^2$

Published on 10 Dec 2019 - 1:36

96

Views

Evaluate $\lim_{n \to \infty} \frac{n \# \cdot n!}{p_{n}\#}$ and estimate the area under $f(x)=\frac{x \# \cdot x!}{p_{x}\#}$

Published on 23 Dec 2019 - 10:08

235

Views

Proof of infinitude of primes using ratio of n to its totient

Published on 29 Dec 2019 - 8:16

214

Views

Euler's function and primorial

Published on 04 Jan 2020 - 16:52

172

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Divisors of Primorials

Published on 04 Jan 2020 - 19:55

328

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Is there a lower bound for the nth primorial?

Published on 22 Feb 2020 - 17:16

36

Views

Does it follow that $\pi(p_k\#) > \frac{p_{k-1}\#}{3}$ for $k \ge 7$

Published on 04 Mar 2020 - 8:19

55

Views

When the summation is equal to factorial and primorial products?

Published on 04 Mar 2020 - 20:58

67

Views

Estimating the maximum number of primes in the sequence $x, x+p\#, x + 2p\#, \dots, x+ (p\#-1)p\#$ where $p$ is prime and $p\#$ is the primorial

Published on 07 Mar 2020 - 19:33

38

Views

Finding a simple upper bound for the number of primes in $x, x+p_k\#, x+2p_k\#, \dots, x+(p_k\#-1)p_k\#$

Published on 08 Mar 2020 - 10:08

83

Views

There is 1 power of $n$ between $(n)!$ and $(n+1)!$ except for $n=5$ ? same for primorial?

Published on 22 Mar 2020 - 17:03

117

Views

Collatz sequence lengths for Primorials

Published on 18 Apr 2020 - 7:41

107

Views

Prove that for an integer $x \ge 7$, it follows that $x\# > x^2+x$

Published on 30 May 2020 - 9:11

27

Views

A totient-like function relating to twin pairs

Published on 30 May 2020 - 19:08

List Question

Distribution of $p_{n+1}$ rough numbers

Showing that for $p_k\ \ge 31, p_{k-1}\# > (p_{k+1})^2$

Evaluate $\lim_{n \to \infty} \frac{n \# \cdot n!}{p_{n}\#}$ and estimate the area under $f(x)=\frac{x \# \cdot x!}{p_{x}\#}$

Proof of infinitude of primes using ratio of n to its totient

Euler's function and primorial

Divisors of Primorials

Is there a lower bound for the nth primorial?

Does it follow that $\pi(p_k\#) > \frac{p_{k-1}\#}{3}$ for $k \ge 7$

When the summation is equal to factorial and primorial products?

Estimating the maximum number of primes in the sequence $x, x+p\#, x + 2p\#, \dots, x+ (p\#-1)p\#$ where $p$ is prime and $p\#$ is the primorial

Finding a simple upper bound for the number of primes in $x, x+p_k\#, x+2p_k\#, \dots, x+(p_k\#-1)p_k\#$

There is 1 power of $n$ between $(n)!$ and $(n+1)!$ except for $n=5$ ? same for primorial?

Collatz sequence lengths for Primorials

Prove that for an integer $x \ge 7$, it follows that $x\# > x^2+x$

A totient-like function relating to twin pairs

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