Prime Number in R Language (CloudStat)

November 28, 2011

(This article was first published on CloudStat, and kindly contributed to R-bloggers)

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 = 2L
   fsqr = floor(sqrt(n))
   while ( <= fsqr)
      primes[*, n,] = FALSE
      sel = which(primes[(])
      if(any(sel)){ = + min(sel)
      }else = fsqr+1

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


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)


Enjoy ^^

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