Goldbach Conjecture Calculator
Verify Goldbach's conjecture: every even integer greater than 2 is the sum of two primes.
Input
Goldbach's Conjecture:
Every even integer greater than 2 can be expressed as the sum of two prime numbers.
Unproven since 1742, but verified for all even numbers up to 4×10¹⁸.
Goldbach Verified for 100
YES
6 prime pairs found
Best Pair (closest to n/2)
47 + 53 = 100
All Prime Pairs
Prime Pairs
6
Primes < n
25
About Goldbach's Conjecture
History
Proposed by Christian Goldbach in a letter to Euler in 1742. One of the oldest unsolved problems in number theory.
Examples
4 = 2+2, 6 = 3+3, 8 = 3+5, 10 = 3+7 = 5+5
12 = 5+7, 14 = 3+11 = 7+7
Help us improve!
How would you rate the Goldbach Conjecture Calculator?
الآلات الحاسبة ذات الصلة
Editorial Note
MyCalcBuddy Editorial Team
This page is maintained as an educational calculator reference.
Formula Source: Handbook of Mathematical Functions
by Abramowitz & Stegun