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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)


Prime values of polynomials and irreducibility testing

Author: Kevin S. McCurley
Journal: Bull. Amer. Math. Soc. 11 (1984), 155-158
MSC (1980): Primary 10H20, 12A20, 68C25
MathSciNet review: 741729
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  • 1. L. M. Adleman and A. M. Odlyzko, Irreducibility testing and factorization of polynomials, Math. Comp. 41 (1983), 699-709. MR 717715
  • 2. L. M. Adleman, C. Pomerance and R. Rumely, On distinguishing prime numbers from composite numbers, Ann. of Math. (2) 117 (1983), 173-206. MR 683806
  • 3. P. T. Bateman and R. Horn, A heuristic asymptotic formula concerning the distribution of prime numbers, Math Comp. 16 (1962), 363-367. MR 148632
  • 4. P. T. Bateman and R. Horn, Primes represented by irreducible polynomials in one variable, Proc. Sympos. Pure Math., vol. 8, Amer. Math. Soc., Providence, R.I., 1965, pp. 119-135. MR 176966
  • 5. J. Brillhart, Note on irreducibility testing, Math. Comp. 35 (1980), 1379-1381. MR 583515
  • 6. V. Bouniakowski, Sur les diviseurs numeriques invariables des fonctions rationelles entieres, Mem. Acad. Sci. St. Petersburg 6 (1857), 305-329.
  • 7. A. K. Lenstra, H. W. Lenstra and L. Lovasz, Factoring polynomials with rational coefficients, Math. Ann. 261 (1982), 515-534. MR 682664
  • 8. C. Pomerance, A note on the least prime in an arithmetic progression, J. Number Theory 12 (1980), 218-223. MR 578815

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Additional Information

PII: S 0273-0979(1984)15247-9

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