# The least prime primitive root and the shifted sieve

Acta Arithmetica (1997)

- Volume: 80, Issue: 3, page 277-288
- ISSN: 0065-1036

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topGreg Martin. "The least prime primitive root and the shifted sieve." Acta Arithmetica 80.3 (1997): 277-288. <http://eudml.org/doc/207043>.

@article{GregMartin1997,

author = {Greg Martin},

journal = {Acta Arithmetica},

keywords = {prime moduli; upper bound; least prime primitive root; linear sieve; shifted sieve; result of Shoup; composite moduli},

language = {eng},

number = {3},

pages = {277-288},

title = {The least prime primitive root and the shifted sieve},

url = {http://eudml.org/doc/207043},

volume = {80},

year = {1997},

}

TY - JOUR

AU - Greg Martin

TI - The least prime primitive root and the shifted sieve

JO - Acta Arithmetica

PY - 1997

VL - 80

IS - 3

SP - 277

EP - 288

LA - eng

KW - prime moduli; upper bound; least prime primitive root; linear sieve; shifted sieve; result of Shoup; composite moduli

UR - http://eudml.org/doc/207043

ER -

## References

top- [1] H. Davenport, Multiplicative Number Theory, 2nd ed., Springer, New York, 1980. Zbl0453.10002
- [2] P. D. T. A. Elliott, The distribution of primitive roots, Canad. J. Math. 21 (1969), 822-841. Zbl0205.34904
- [3] H. Halberstam and H.-E. Richert, Sieve Methods, Academic Press, London, 1974. Zbl0298.10026
- [4] H. Iwaniec, On the problem of Jacobsthal, Demonstratio Math. 11 (1978), 225-231.
- [5] G. Martin, Uniform bounds for the least almost-prime primitive root, submitted. Zbl0908.11046
- [6] A. Nongkynrih, On prime primitive roots, Acta Arith. 72 (1995), 45-53. Zbl0828.11049
- [7] V. Shoup, Searching for primitive roots in finite fields, Math. Comp. 58 (1992), 369-380. Zbl0747.11060
- [8] Y. Wang, On the least primitive root of a prime, Sci. Sinica 10 (1961), 1-14. Zbl0103.02801
- [9] W. P. Zhang, On the density of zeros of the Dirichlet L-function, Acta Math. Sinica 31 (1988), 326-331. Zbl0677.10027

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