On 7 June, 1742, Christian Goldbach wrote a letter to Leonhard Euler, stating a conjecture he discovered. In this conjecture, he stated that every integer greater than 2 can be written as the sum of three primes. Note that at that time, Goldbach considered 1 to be a prime, a convention no longer followed, so the present equivalent of his conjecture would be: every integer greater than 5 can be written as the sum of three primes. This conjecture is known today as the “ternary” Goldbach’s conjecture.
Upon receiving this conjecture, Euler became interested in the problem and replied with a similar conjecture: every integer greater than 2 can be written as the sum of two primes. This conjecture is known today as the “strong” or “binary” Goldbach’s conjecture.
2007-01-13
22:22:07
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3 answers
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Iceman҂
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Mathematics