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Goldbach’s conjecture On 7 June 1742, the German mathematician Christian Goldbach wrote a letter to Leonhard Euler, in which he proposed the following conjecture. Goldbach’s conjecture is one of the oldest and best-known unsolved problems in number theory and all of mathematics. Every even integer greater than 2 can be expressed as the sum of two primes What is a conjecture ?😕😕😕 A Conjecture is a conclusion or proposition based on incomplete information, for which no proof or disproof has yet been found. Goldbach number A Goldbach number is a positive even integer that can be expressed as the sum of two odd primes. Since 4 is the only even number greater than 2 that requires the even prime 2 in order to be written as the sum of two primes, another form of the statement of Goldbach’s conjecture is that all even integers greater than 4 are goldbach numbers. The conjecture has been shown to hold for all integers less than 4⨯〖10〗^18, but remains unproven considera...
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