Created
December 12, 2018 04:42
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eratosthenes algorithm for prime numbers
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const eratosthenes = n => { | |
const output = [] | |
const upperLimit = Math.sqrt(n) | |
// new array with n values of true i.e. [true, true, true...] | |
const array = Array(n).fill(true) | |
// loop from 2 to square root of n | |
for (let i = 2; i <= upperLimit; i++) { | |
// if i has been marked false, skip | |
if (array[i]) { | |
console.log(`i = ${i}`) | |
// for inner loop, mark all multiples of i as false | |
for (let j = i * i; j < n; j += i) { | |
console.log(`${j} is not a prime`) | |
array[j] = false; | |
} | |
} | |
} | |
// loop through array and push all true values into output | |
array.forEach((e, i) => { | |
if (e) output.push(i) | |
}) | |
// slice 0 and 1 because those are not prime | |
return output.slice(2) | |
}; | |
console.log(eratosthenes(10)) // [ 2, 3, 5, 7 ] | |
console.log(eratosthenes(50)) // [ 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47 ] |
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