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Prove Goldbach's "Weak" Conjecture

OBJECTIVE

On June 7, 1742, Prussian mathematician Christian Goldbach wrote a letter to Leonhard Euler proposing the following conjecture: "Every integer greater than 2 can be written as the sum of three primes." (The number 1 is no longer considered to be prime, so the modern version stipulates “even numbers greater than 5”.) In the 350 years since it was first conceived, no one’s been able to provide a proof for it.

An easer conjecture has been subsequently proposed stating that “every odd number greater than 7 can be expressed as the sum of three odd primes.” While significant progress has been made to prove Goldbach's “weak” conjecture, the solution is still elusive.

REQUIREMENTS

Mathematical proof either proving or disproving Goldbach's “weak” conjecture must be published by a peer review journal with a circulation greater than 5,000 readers.

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