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31
Project-Euler/Problem7.js
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31
Project-Euler/Problem7.js
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// https://projecteuler.net/problem=7
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// My approach does not use the Sieve of Eratosthenes but that is another common way to approach this problem. Sieve of Atkin is another possibility as well.
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const num = 10001
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const primes = [2, 3, 5, 7, 11, 13] // given list of primes you start with
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const calculatePrime = (num) => {
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// Calculate each next prime by checking each number to see what it's divisible by
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let count = primes.length // count number of primes calculated
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let current = primes[count - 1] + 1 // current number being assessed if prime
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while (count < num) { // repeat while we haven't reached goal number of primes
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// go through each prime and see if divisible by the previous primes
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let prime = false
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primes.some((n, i) => {
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if (current % n === 0) {
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return true
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}
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if (i === count - 1) {
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prime = true
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}
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})
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if (prime) { // if prime, add to prime list and increment count
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primes.push(current)
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count += 1
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}
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current += 1
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}
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return primes[num - 1]
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}
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console.log(calculatePrime(num))
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