GOLDBACH'S CONJECTURE EXPLORER
EXPLORE A NUMBER
Even number n:
100
Goldbach pairs for
100
:
COMET VIEW
Max n for comet:
500
Compute Comet
THE CONJECTURE
"Every even integer greater
than 2 is the sum of two primes."
— Goldbach, 1742 (letter to Euler)
Verified for all even n ≤ 4×10¹⁸
(Oliveira e Silva, 2014).
Weak Goldbach (3 primes):
Proved by Helfgott (2013).
Strong Goldbach: OPEN.
Number of representations:
G(n) ~ 2C₂ n/ln(n)²
where C₂ ≈ 0.6601618
(twin prime constant)