On the greatest prime factor of (ab + 1)(bc + 1)(ca + 1)

Yann Bugeaud

Acta Arithmetica (1998)

  • Volume: 86, Issue: 1, page 45-49
  • ISSN: 0065-1036

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Yann Bugeaud. "On the greatest prime factor of (ab + 1)(bc + 1)(ca + 1)." Acta Arithmetica 86.1 (1998): 45-49. <http://eudml.org/doc/207180>.

@article{YannBugeaud1998,
author = {Yann Bugeaud},
journal = {Acta Arithmetica},
keywords = {effectively computable lower bonds; greatest prime factor; Baker's method},
language = {eng},
number = {1},
pages = {45-49},
title = {On the greatest prime factor of (ab + 1)(bc + 1)(ca + 1)},
url = {http://eudml.org/doc/207180},
volume = {86},
year = {1998},
}

TY - JOUR
AU - Yann Bugeaud
TI - On the greatest prime factor of (ab + 1)(bc + 1)(ca + 1)
JO - Acta Arithmetica
PY - 1998
VL - 86
IS - 1
SP - 45
EP - 49
LA - eng
KW - effectively computable lower bonds; greatest prime factor; Baker's method
UR - http://eudml.org/doc/207180
ER -

References

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  1. [1] B. Brindza, Thue equations and multiplicative independence, in: Number Theory and Cryptography (Sydney, 1989), London Math. Soc. Lecture Note Ser. 154, Cambridge Univ. Press, Cambridge, 1990, 213-220. 
  2. [2] B. Brindza and K. Győry, On unit equations with rational coefficients, Acta Arith. 53 (1990), 367-388. Zbl0705.11014
  3. [3] K. Győry and A. Sárközy, On prime factors of integers of the form (ab+1)(bc+1)×(ca+1), Acta Arith. 79 (1997), 163-171. Zbl0869.11071
  4. [4] K. Győry, A. Sárközy and C. L. Stewart, On the number of prime factors of integers of the form ab+1, Acta Arith. 74 (1996), 365-385. Zbl0857.11047
  5. [5] J. H. Loxton, Some problems involving powers of integers, Acta Arith. 46 (1986), 113-123. Zbl0549.10012
  6. [6] A. Schinzel, On two theorems of Gelfond and some of their applications, Acta Arith. 13 (1967), 177-236. Zbl0159.07101
  7. [7] C. L. Stewart and R. Tijdeman, On the greatest prime factor of (ab+1)(ac+1)×(bc+1), Acta Arith. 79 (1997), 93-101. Zbl0869.11072

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