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
3 + 97diff: 94
11 + 89diff: 78
17 + 83diff: 66
29 + 71diff: 42
41 + 59diff: 18
47 + 53diff: 6
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