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

Acta Arithmetica (1998)

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

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top## How to cite

topYann 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

top- [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] B. Brindza and K. Győry, On unit equations with rational coefficients, Acta Arith. 53 (1990), 367-388. Zbl0705.11014
- [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] 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] J. H. Loxton, Some problems involving powers of integers, Acta Arith. 46 (1986), 113-123. Zbl0549.10012
- [6] A. Schinzel, On two theorems of Gelfond and some of their applications, Acta Arith. 13 (1967), 177-236. Zbl0159.07101
- [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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