In 1742, German mathematician Christian Goldbach wrote, in a letter to famed mathematician Leonhard Euler, that he believed “Every integer greater than two can be written as the sum of three primes.” In subsequent correspondence, the stronger version “Every even integer can be expressed as the sum of two primes” was suggested, as well as some other variants. The “odd” variant of the Goldbach conjecture is that every odd number greater than 7 can be expressed as the sum of three odd primes.

To this date, although extensive computer tests have found no counter-examples to these conjectures, no proofs are

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