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

JavaScript Math: Exercise-43 with Solution

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]

Pictorial Presentation:

Sample Solution-1:

JavaScript Code:

function primeFactorsTo(max)
{
    var store  = [], i, j, primes = [];
    for (i = 2; i <= max; ++i) 
    {
        if (!store [i]) 
          {
            primes.push(i);
            for (j = i << 1; j <= max; j += i) 
            {
                store[j] = true;
            }
        }
    }
    return primes;
}

console.log(primeFactorsTo(5));

console.log(primeFactorsTo(15));

Sample 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:

//Source:https://bit.ly/3hEZdCl
//primes
const primes = num => {
  let arr = Array.from({ length: num - 1 }).map((x, i) => i + 2),
    sqroot = Math.floor(Math.sqrt(num)),
    numsTillSqroot = Array.from({ length: sqroot - 1 }).map((x, i) => i + 2);
  numsTillSqroot.forEach(x => (arr = arr.filter(y => y % x !== 0 || y === x)));
  return arr;
};
 
console.log(primes(5));
console.log(primes(10));
console.log(primes(15));

Sample 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.

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