[Golang] Sieve of Eratosthenes

package main

import (
      "fmt"
)

func SieveOfEratosthenes(n int) []int {
      // Create a boolean array "prime[0..n]" and initialize
      // all entries it as true. A value in prime[i] will
      // finally be false if i is Not a prime, else true.
      integers := make([]bool, n+1)
      for i := 2; i < n+1; i++ {
              integers[i] = true
      }

      for p := 2; p*p <= n; p++ {
              // If integers[p] is not changed, then it is a prime
              if integers[p] == true {
                      // Update all multiples of p
                      for i := p * 2; i <= n; i += p {
                              integers[i] = false
                      }
              }
      }

      // return all prime numbers <= n
      var primes []int
      for p := 2; p <= n; p++ {
              if integers[p] == true {
                      primes = append(primes, p)
              }
      }

      return primes
}

func main() {
      fmt.Println(SieveOfEratosthenes(20))
      fmt.Println(SieveOfEratosthenes(30))
      fmt.Println(SieveOfEratosthenes(40))
}