isPrime.js
thoward37@gmail.com/shirt[create-new-file-named-isprime-js] / isPrime.js
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changed.
+/**
+ * Determines if a given integer is a prime number.
+ *
+ * @param n - The number to check.
+ * @returns true if n is a prime, false otherwise.
+ */
+export function isPrime(n) {
+ // Reject non-number or non-integer inputs
+ if (typeof n !== "number" || !Number.isInteger(n)) {
+ return false;
+ }
+ // Negative numbers, 0 and 1 are not prime
+ if (n <= 1) {
+ return false;
+ }
+ // 2 and 3 are prime
+ if (n <= 3) {
+ return true;
+ }
+ // Eliminate multiples of 2 and 3 early
+ if (n % 2 === 0 || n % 3 === 0) {
+ return false;
+ }
+ // Check divisibility by numbers of the form 6k ± 1 up to sqrt(n)
+ for (let i = 5; i * i <= n; i += 6) {
+ if (n % i === 0 || n % (i + 2) === 0) {
+ return false;
+ }
+ }
+ return true;
+}