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Volumn 35, Issue 152, 1980, Pages 1391-1417

Lucas pseudoprimes

Author keywords

Euler pseudoprime; Lucas pseudoprime; Lucas sequence; Primality testing; Pseudoprime; Strong pseudoprime

Indexed keywords


EID: 84966237268     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-1980-0583518-6     Document Type: Article
Times cited : (87)

References (27)
  • 1
    • 84966218651 scopus 로고
    • New primality criteria andfactorizations of 2m1
    • JOHN BRILLHART, D. H. LEHMER J. L. SELFRIDGE, "New primality criteria and factorizations of 2m1," Math. Comp., v. 29, 1975, p. 620-647.
    • (1975) Math. Comp , vol.29 , pp. 620-647
    • John Brillhart, D.1    Selfridge, J.L.2
  • 2
    • 0002168132 scopus 로고
    • On the number of positive integers x and free of prime factors
    • N. G. DE BRUIJN, "On the number of positive integers x and free of prime factors," Indag. Math., v. 13, 1951, p. 50-60.
    • (1951) Indag. Math , vol.13 , pp. 50-60
    • Bruijn, N.1
  • 3
    • 84963079072 scopus 로고
    • On character sums and L-series
    • D. A. BURGESS, "On character sums and L-series," Proc. London Math. Soc. (3), v. 12, 1962, p. 193-206.
    • (1962) Proc. London Math. Soc , vol.12 , Issue.3 , pp. 193-206
    • Burgess, D.A.1
  • 4
    • 49849129314 scopus 로고
    • A conjecture of Erdb's concerning character sums
    • P. D. T. A. ELLIOTT, "A conjecture of Erdb's concerning character sums," Indag. Math., v. 31, 1969, p. 164-171.
    • (1969) Indag. Math , vol.31 , pp. 164-171
    • Elliott, P.1
  • 5
    • 84963009349 scopus 로고
    • On the mean value of f(p)
    • P. D. T. A. ELLIOTT, "On the mean value of f(p)," Proc. London Math. Soc. (3), v. 21, 1970, p. 28-96.
    • (1970) Proc. London Math. Soc , vol.21 , Issue.3 , pp. 28-96
    • Elliott, P.1
  • 6
    • 0000617693 scopus 로고
    • The Gaussian law of errors in the theory of additive numbertheoretic functions
    • P. ERDOS M. KAC, "The Gaussian law of errors in the theory of additive number theoretic functions," Amer. J. Math., v. 62, 1940, p. 738-742.
    • (1940) Amer. J. Math , vol.62 , pp. 738-742
    • Erdos, P.1    Kac, M.2
  • 7
    • 0009929886 scopus 로고
    • On pseudoprimes and Carmichael numbers
    • P. ERDOS, "On pseudoprimes and Carmichael numbers," Publ. Math. Debrecen, v. 4, 1956, p. 201-206.
    • (1956) Publ. Math. Debrecen , vol.4 , pp. 201-206
    • Erdos, P.1
  • 8
    • 38349016214 scopus 로고
    • Szmelmleti megjegyzsek I
    • P. ERDOS, "Szmelmleti megjegyzsek I," Afar. Lapok, v. 12, 1961, p. 10-17.
    • (1961) Afar. Lapok , vol.12 , pp. 10-17
    • Erdos, P.1
  • 10
    • 0000261818 scopus 로고
    • An extended theory of Lucas' functions
    • D. H. LEHMER, "An extended theory of Lucas' functions," Ann. of Math., v. 31, 1930, p. 419-448.
    • (1930) Ann. Of Math , vol.31 , pp. 419-448
    • Lehmer, D.H.1
  • 11
    • 33645946022 scopus 로고
    • On the infinitude of Fibonacci pseudo-primes
    • EMMA LEHMER, "On the infinitude of Fibonacci pseudo-primes," Fibonacci Quart., v. 2, 1964, p. 229-230.
    • (1964) Fibonacci Quart , vol.2 , pp. 229-230
    • Emma, L.1
  • 12
    • 0001352203 scopus 로고
    • Theorie des fonctions numriques simplement priodiques
    • E. LUCAS, "Theorie des fonctions numriques simplement priodiques," Amer. J. Math., v. 1, 1878, p. 184-240.
    • (1878) Amer. J.Math , vol.1 , pp. 184-240
    • Lucas, E.1
  • 13
    • 84966221424 scopus 로고    scopus 로고
    • On Monte-Carlo primality tests
    • D. E. G. MALM, "On Monte-Carlo primality tests," Notices Amer. Math. Soc, v. 24, 1977, p. 520-529.
    • Notices Amer. Math. Soc , vol.24 , pp. 520-529
    • Malm, D.1
  • 14
    • 85015281689 scopus 로고
    • Riemann's Hypothesis and tests for primality
    • Albuquerque, N.M
    • G. L. MILLER, "Riemann's Hypothesis and tests for primality," Proc. of the Seventh Annual ACM Symposium on the Theory of Computing, 1975, Albuquerque, N.M., p. 234-239.
    • (1975) Proc. Of the Seventh , pp. 234-239
    • Miller, G.L.1
  • 16
    • 33645950050 scopus 로고
    • On primes and pseudo-primes related to the Fibonacci sequence
    • E. A. PARBERRY, "On primes and pseudo-primes related to the Fibonacci sequence," Fibonacci Quart., v. 8, 1970, p. 49-60.
    • (1970) Fibonacci Quart , vol.8 , pp. 49-60
    • Parberry, E.A.1
  • 19
    • 84966224154 scopus 로고
    • On pseudoprimes which are products of distinct primes
    • K. SZYMICZEK, "On pseudoprimes which are products of distinct primes," Amer. Math. Monthly., v. 74, 1967, p. 35-37.
    • (1967) Amer.Math. Monthly , vol.74 , pp. 35-37
    • Szymiczek, K.1
  • 20
    • 84966221533 scopus 로고
    • Determination of the primality of N by using factorsof AT2 I
    • H. C. WILLIAMS J. S. JUDD, "Determination of the primality of N by using factors of AT2 I," Math. Comp., v. 30, 1976, p. 157-172.
    • (1976) Math. Comp , vol.30 , pp. 157-172
    • Williams, H.C.1    Judd, J.S.2
  • 21
    • 84966208063 scopus 로고
    • Some algorithms for prime testing using generalizedLehmer functions
    • H. C. WILLIAMS J. S. JUDD, "Some algorithms for prime testing using generalized Lehmer functions," Math. Comp., v. 30, 1976, p. 867-886.
    • (1976) Math. Comp , vol.30 , pp. 867-886
    • Williams, H.C.1    Judd, J.S.2
  • 22
    • 0000091891 scopus 로고
    • On numbers analogous to the Carmichael numbers
    • H. C. WILLIAMS, "On numbers analogous to the Carmichael numbers," Canad. Math. Bull, v. 20, 1977, p. 133-143.
    • (1977) Canad. Math.Bull , vol.20 , pp. 133-143
    • Williams, H.C.1
  • 23
    • 84966216256 scopus 로고
    • Some observations on primality testing
    • H. C. WILLIAMS R. HOLTE, "Some observations on primality testing," Math. Comp., v. 32, 1978, p. 905-917.
    • (1978) Math. Comp , vol.32 , pp. 905-917
    • Williams, H.C.1    Holte, R.2
  • 24
    • 84966220840 scopus 로고
    • A technique of numerical production of a sequence of pseudo-primenumbers
    • M. YORINAGA, "A technique of numerical production of a sequence of pseudo-prime numbers," Math. J. Okayama Univ., v. 19, 1976, p. 1-4.
    • (1976) Math. J. Okayama Univ. , vol.19 , pp. 1-4
    • Yorinaga, M.1
  • 25
    • 84966220028 scopus 로고
    • On a congruencial property of Fibonacci numbers-numerical experiments
    • M. YORINAGA, "On a congruencial property of Fibonacci numbers-numerical experiments," Math. J. Okayama Univ., v. 19, 1976, p. 5-10.
    • (1976) Math. J. Okayama Univ. , vol.19 , pp. 5-10
    • Yorinaga, M.1
  • 26
    • 84966238689 scopus 로고
    • On a congruencial property of Fibonacci numbers considerationsand remarks
    • M. YORINAGA, "On a congruencial property of Fibonacci numbers considerations and remarks," Math. J. Okayama Univ., v. 19, 1976, p. 11-17.
    • (1976) Math. J. Okayama Univ. , vol.19 , pp. 11-17
    • Yorinaga, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.