How to resolve the algorithm Almost prime step by step in the Odin programming language

Published on 12 May 2024 09:40 PM

How to resolve the algorithm Almost prime step by step in the Odin programming language

Table of Contents

Problem Statement

A   k-Almost-prime   is a natural number

n

{\displaystyle n}

that is the product of

k

{\displaystyle k}

(possibly identical) primes.

1-almost-primes,   where

k

1

{\displaystyle k=1}

,   are the prime numbers themselves. 2-almost-primes,   where

k

2

{\displaystyle k=2}

,   are the   semiprimes.

Write a function/method/subroutine/... that generates k-almost primes and use it to create a table here of the first ten members of k-Almost primes for

1 <= K <= 5

{\displaystyle 1<=K<=5}

.

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Almost prime step by step in the Odin programming language

Source code in the odin programming language

package almostprime
import "core:fmt"
main :: proc() {
	i, c, k: int
	for k in 1 ..= 5 {
		fmt.printf("k = %d:", k)
		for i, c := 2, 0; c < 10; i += 1 {
			if kprime(i, k) {
				fmt.printf(" %v", i)
				c += 1
			}
		}
		fmt.printf("\n")
	}
}
kprime :: proc(n: int, k: int) -> bool {
	p, f: int = 0, 0
	n := n
	for p := 2; f < k && p * p <= n; p += 1 {
		for (0 == n % p) {
			n /= p
			f += 1
		}
	}
	return f + (n > 1 ? 1 : 0) == k
}


  

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