Goldbach conjecture and the least prime number in an arithmetic progression.
Shaohua Zhang
posted in Mathematics on Thursday, October 15th, 2009
In this paper, we try to study the relations between Goldbach Conjecture and the least prime number in an arithmetic progression. We give a new weakened form of Goldbach Conjecture. We prove that this weakened form and a weakened form of Chowla Hypothesis imply that every sufficiently large even integer may be written as the sum of two distinct primes.
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