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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Greatest of the least primes in arithmetic progressions having a given modulus


Author: Samuel S. Wagstaff
Journal: Math. Comp. 33 (1979), 1073-1080
MSC: Primary 10H20; Secondary 10-04
MathSciNet review: 528061
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Abstract: We give a heuristic argument, supported by numerical evidence, which suggests that the maximum, taken over the reduced residue classes modulo k, of the least prime in the class, is usually about $ \phi (k)\log k\log \phi (k)$, where $ \phi $ is Euler's phi-function.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1979-0528061-7
PII: S 0025-5718(1979)0528061-7
Keywords: Least prime in an arithmetic progression
Article copyright: © Copyright 1979 American Mathematical Society