ArticleOriginal scientific text

Title

On strong Lehmer pseudoprimes in the case of negative discriminant in arithmetic progressions

Authors 1, 2

Affiliations

  1. Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-950 Warszawa, Poland
  2. Technical University in Białystoki, Wiejska 45, 15-351 Białystok, Poland

Bibliography

  1. L. K. Durst, Exceptional real Lehmer sequences, Pacific J. Math. 9 (1959), 437-441.
  2. D. H. Lehmer, An extended theory of Lucas functions, Ann. of Math. (2) 31 (1930), 419-448.
  3. A. Rotkiewicz, On the pseudoprimes of the form ax+b with respect to the sequence of Lehmer, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 20 (1972), 349-354.
  4. A. Rotkiewicz, On Euler Lehmer pseudoprimes and strong Lehmer pseudoprimes with parameters L, Q in arithmetic progressions, Math. Comp. 39 (1982), 239-247.
  5. A. Schinzel, The intrinsic divisors of Lehmer numbers in the case of negative discriminant, Ark. Mat. 4 (1962), 413-416.
  6. C. L. Stewart, Primitive divisors of Lucas and Lehmer numbers, in: Transcendence Theory: Advances and Applications, Academic Press, 1977, 79-92.
  7. M. Ward, The intrinsic divisors of Lehmer numbers, Ann. of Math. (2) 62 (1955), 230-236.
Pages:
145-151
Main language of publication
English
Received
1993-08-04
Accepted
1994-04-13
Published
1994
Exact and natural sciences