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Goldbach Pair Calculator

Enter an even number (4 or greater) to find two primes that sum to it.

How to use

  1. Enter your values in the fields above.
  2. Press Calculate to see your result instantly.
  3. Use the Share button to copy a link to your result.

About this calculator

The Goldbach conjecture, proposed by Christian Goldbach in a 1742 letter to Leonhard Euler, states that every even integer greater than 2 can be expressed as the sum of two prime numbers — for example, 28 = 5 + 23 or 11 + 17. Despite being one of the oldest unsolved problems in number theory, it has been verified by computer for all even numbers up to extremely large limits, far beyond four quintillion, even though no general mathematical proof exists.

Finding a Goldbach pair for a given even number is a classic exercise in number theory and computer science courses, typically solved by testing candidate primes smaller than the number and checking whether the remainder is also prime, and it is often used to illustrate prime-testing algorithms like trial division or the Sieve of Eratosthenes.

This calculator takes any even number of 4 or greater and searches for a matching pair of prime numbers that sum to it.

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