Check if a given integer is a prime number

Trial division up to the square root, without allocating an array.

JavaScript Version 1.0.0 · MIT · .md

check-if-a-given-integer-is-a-prime-number.js
function isPrime(n) { if (n < 2) return false; for (let i = 2; i * i <= n; i++) if (n % i === 0) return false; return true; }

Input & expected output

Input

97

Expected output

true

The edge case

Input

1

Expected output

false

Know the limits

  • The original built an array of candidates; a loop stops at the first divisor and allocates nothing.
  • Fine for numbers up to the lab’s one billion; use a sieve for many queries.

The function above is the implementation used by the lab. The lab validates JSON types and caps size before execution; include equivalent validation when accepting untrusted input in your application.

Source & maintenance

Based on Check if a given integer is a prime number from the original 1loc collection by Nguyen Huu Phuoc. Copyright (c) 2020 phuoc-ng. MIT licensed.

Replaced the candidate array with an allocation-free loop. Original MDX retained as inert source evidence.

Maintained by Oveyon. Source commit: 14b481cf60df. Read the license.

Local fixture scope · Node.js 22.23.2 · reviewed October 28, 2026. No external service is required.

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