Goldbach Conjecture and the least prime number in an arithmetic progression |
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Authors: | Shaohua Zhang |
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Institution: | School of Mathematics, Shandong University, Jinan, Shandong, 250100, China |
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Abstract: | In this Note, we try to study the relations between the Goldbach Conjecture and the least prime number in an arithmetic progression. We give a new weakened form of the Goldbach Conjecture. We prove that this weakened form and a weakened form of the Chowla Hypothesis imply that every sufficiently large even integer may be written as the sum of two distinct primes. |
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