The Goldbach conjecture declares that any even number 2m=2n+2>4 can be expressed as the sum of two prime numbers. The mathematical modeling of the conjecture is: any even number 2m=2n+2 greater than 4 can be expressed as 2n+2=a+b, 2≤a≤n+1, n+1≤b≤2n. With the modeling, let c be a composite number In 2～2n, a mapping number is 2m-c or 2n+2-c. A complete composite pair is a pair (c, 2m-c) that both c and 2m-c are composite numbers. The composite numbers one-to-one correspond to the mapping numbers. Using an induction to absurdity, suppose the Goldbach conjecture is wrong, so that 2n+2 cannot be expressed as the sum of two primes. With the mathematical modeling for the even number 2n+2, numbers 2～2n are all composite numbers or mapping numbers. A false inequation (C) can be obtained when n≥128. This means that the supposition does not stand when n≥128. Meanwhile, the Goldbach conjecture can be easily verified for the even numbers in 6～256. Hence, the Goldbach conjecture Is proved.
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