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z.I. It was asserted by GOLDBACH, in a letter to "EuLER dated 7 June, 1742 , that every even number 2m is the sum o/two odd primes, ai~d this propos ition has generally been described as 'Goldbach's Theorem'. There is no reasonable doubt that the theorem is correct, and that the number of representations is large when m is large; but all attempts to obtain a proof have been completely unsuccessful. Indeed it has never been shown that every number (or every large number, any number, that is to say, from a certain point onwards) is the sum of xo primes, or of i oooooo; and the problem was quite recently classified as among those 'beim gegenwiirtigen Stande der Wissensehaft unangreifbar'. ~
Hardy et al. (Mon,) studied this question.