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The opinion of the mathematician Christian Goldbach, stated in correspondence with Euler in 1742, that every even number greater than 2 can be expressed as the sum of two primes, seems to be true in the sense that no one has ever found a counterexample (Boyer & Merzbach, 1989, p.
He wrote about it in a letter to Christian Goldbach. The four-square identity was also used by Joseph Lagrange (1736-1813) to prove what is called Lagrange's Four-Square Theorem, namely, that every positive integer can be expressed as the sum of four squares.
A more famous conjecture regarding primes is the Goldbach Conjecture, named after Christian Goldbach (1690-1764), a German mathematician who later became Russia's foreign affair minister.
The Goldbach conjecture, devised by historian and mathematician Christian Goldbach in 1742, proposes that every even number is the sum of two primes; for example, 8 = 3 + 5.
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