Goldbach put forward the following conjecture in his letter 1742 to Euler: any integer greater than 2 can be written as the sum of three prime numbers. But Goldbach himself could not prove it, so he wrote to the famous mathematician Euler to help him prove it, but until his death, Euler could not prove it.
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It can be inferred from Goldbach's conjecture about even numbers that any odd number greater than 7 can be expressed as the sum of three odd prime numbers. The latter is called "weak Goldbach conjecture" or "Goldbach conjecture on odd numbers".
If the Goldbach conjecture about even numbers is right, then the Goldbach conjecture about odd numbers will also be right. In May 20 13, Harold Horovgott, a researcher at Paris Teachers College, published two papers, announcing that the weak Goldbach conjecture was completely proved.
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