JavaScript: Get all prime numbers from 0 to a specified number

JavaScript Math: Exercise-43 with Solution

List Prime Numbers Up to N

Write a JavaScript function to get all prime numbers from 0 to a specified number

Test Data:
console.log(primeFactorsTo(5));
[2, 3, 5]
console.log(primeFactorsTo(15));
[2, 3, 5, 7, 11, 13]

Visual Presentation:

Sample Solution-1:

JavaScript Code:

// Define a function named primeFactorsTo that generates an array of prime numbers up to a given maximum value.
function primeFactorsTo(max)
{
    // Initialize an array to store whether each number is prime.
    var store  = [], 
        i, j, 
        primes = [];
    
    // Iterate through numbers from 2 to the maximum value.
    for (i = 2; i <= max; ++i) 
    {
        // If the current number is not marked as composite (not prime), add it to the primes array.
        if (!store[i]) 
        {
            primes.push(i);
            // Mark all multiples of the current prime as composite.
            for (j = i << 1; j <= max; j += i) 
            {
                store[j] = true;
            }
        }
    }
    // Return the array of prime numbers.
    return primes;
}

// Output the result of finding prime numbers up to 5 to the console.
console.log(primeFactorsTo(5));

// Output the result of finding prime numbers up to 15 to the console.
console.log(primeFactorsTo(15));

Output:

[2,3,5]
[2,3,5,7,11,13].

Flowchart:

Sample Solution-2:

Generates primes up to a given number, using the Sieve of Eratosthenes.

• Generate an array from 2 to the given number.
• Use Array.prototype.filter() to filter out the values divisible by any number from 2 to the square root of the provided number.

JavaScript Code:

// Define a function named primes that generates an array of prime numbers up to a given number.
// Source: https://bit.ly/3hEZdCl
const primes = num => {
  // Create an array of numbers from 2 to 'num'.
  let arr = Array.from({ length: num - 1 }).map((x, i) => i + 2),
    // Calculate the square root of 'num'.
    sqroot = Math.floor(Math.sqrt(num)),
    // Create an array of numbers from 2 to the square root of 'num'.
    numsTillSqroot = Array.from({ length: sqroot - 1 }).map((x, i) => i + 2);
  // Iterate through each number from 2 to the square root of 'num'.
  numsTillSqroot.forEach(x => (arr = arr.filter(y => y % x !== 0 || y === x)));
  // Return the array of prime numbers.
  return arr;
};
 
// Output the result of generating prime numbers up to 5 to the console.
console.log(primes(5));
// Output the result of generating prime numbers up to 10 to the console.
console.log(primes(10));
// Output the result of generating prime numbers up to 15 to the console.
console.log(primes(15));

Output:

[2,3,5]
[2,3,5,7]
[2,3,5,7,11,13]

Flowchart:

Live Demo:

See the Pen javascript-math-exercise-43 by w3resource (@w3resource) on CodePen.

For more Practice: Solve these Related Problems:

• Write a JavaScript function that generates all prime numbers up to a specified number using the Sieve of Eratosthenes.
• Write a JavaScript function that lists primes up to N using trial division for each candidate number.
• Write a JavaScript function that returns an array of prime numbers by checking each number with a helper isPrime function.
• Write a JavaScript function that recursively generates prime numbers up to a limit and returns the list.

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