A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself.

**R Language Code**

The Prime Function

prime = function(n)

{

n = as.integer(n)

if(n > 1e8) stop(“n too large”)

primes = rep(TRUE, n)

primes[1] = FALSE

last.prime = 2L

fsqr = floor(sqrt(n))

while (last.prime <= fsqr)

{

primes[seq.int(2L*last.prime, n, last.prime)] = FALSE

sel = which(primes[(last.prime+1):(fsqr+1)])

if(any(sel)){

last.prime = last.prime + min(sel)

}else last.prime = fsqr+1

}

which(primes)

}

To list out the primes within 100, simply type the command:

prime(100)

Now, question is

*By listing the first six prime numbers: 2, 3, 5, 7, 11, and 13, we can see that the 6th prime is 13.*

*What is the 10 001st prime number?*

We simply accessing the elements of vector by using **[ and ]**

We first concatenate more than 10001 primes into prime2 variable by command prime(2000000). Then accessing the 10001st element of the vector and we get the 10001st prime number!

prime2 = prime(200000)

prime2[10001]

Result

Enjoy ^^

*Related*

To

**leave a comment** for the author, please follow the link and comment on their blog:

** CloudStat**.

R-bloggers.com offers

**daily e-mail updates** about

R news and

tutorials on topics such as:

Data science,

Big Data, R jobs, visualization (

ggplot2,

Boxplots,

maps,

animation), programming (

RStudio,

Sweave,

LaTeX,

SQL,

Eclipse,

git,

hadoop,

Web Scraping) statistics (

regression,

PCA,

time series,

trading) and more...

If you got this far, why not

__subscribe for updates__ from the site? Choose your flavor:

e-mail,

twitter,

RSS, or

facebook...

**Tags:** cloudstat, prime, prime number, primes, R, R Language, R Programming