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Keywords
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Arithmetic Progression
Prime Number
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Goldbach Conjecture and the least prime number in an arithmetic progression
Goldbach Conjecture and the least prime number in an arithmetic progression,10.1016/j.crma.2010.02.011,Comptes Rendus Mathematique,Shaohua Zhang
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Goldbach Conjecture and the least prime number in an arithmetic progression
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Citations: 2
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Shaohua Zhang
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.
Journal:
Comptes Rendus Mathematique  C R MATH
, vol. 348, no. 5, pp. 241242, 2010
DOI:
10.1016/j.crma.2010.02.011
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References
(3)
Sur certaines hypoth`eses concernant les nombres premiers
(
Citations: 52
)
A. Schinzel
,
W. Sierpi'nski
ZeroFree Regions for Dirichlet LFunctions, and the Least Prime in an Arithmetic Progression
(
Citations: 72
)
D. R. HeathBrown
Journal:
Proceedings of The London Mathematical Society  PROC LONDON MATH SOC
, 1991
On the least prime in an arithmetical progression
(
Citations: 6
)
S. Chowla
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Citations
(2)
The problem of the least prime number in an arithmetic progression and its applications to Goldbach's conjecture
Shaohua Zhang
Published in 2009.
A new inequality involving primes
Shaohua Zhang
Published in 2009.