Acta Scientiarum Naturalium Universitatis Pekinensis

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A Note on the Least Prime in an Arithmetic Progression

MENG Zaizhao   

  1. Mathematics Department, Southwest Normal University, Chongqing, 400715
  • Received:2000-04-05 Online:2001-01-20 Published:2001-01-20

关于算术级数中最小素数的注记

蒙在照   

  1. 北京大学数学研究所,北京,100871

Abstract: It is proved that the least prime in an arithmetic progression with difference q(has bounded cubic part) is <<q4.5.

Key words: The L-function, the least prime

摘要: 对以q(立方部分有界)为公差的算术级数中的最小素数P(a, q),证明了:P(a, q)<<q4.5

关键词: L-函数, 最小素数

CLC Number: