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On the largest prime factor of \((ab+1)(ac+1)(bc+1)\)

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Publication:1429069
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zbMath1108.11030MaRDI QIDQ1429069

Florian Luca, Santos Hernández

Publication date: 30 March 2004

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)


zbMATH Keywords

subspace theoremS-units


Mathematics Subject Classification ID

Diophantine inequalities (11D75) Approximation in non-Archimedean valuations (11J61)


Related Items (10)

On the Multiplicative Group Generated by Two Primes in Z∕Q Z ⋮ Carmichael numbers in the sequence $(2^n k+1)_{n\geq 1}$ ⋮ On the existence of S-Diophantine quadruples ⋮ Greatest common divisors for polynomials in almost units and applications to linear recurrence sequences ⋮ Quantitative versions of the subspace theorem and applications ⋮ Greatest common divisors with moving targets and consequences for linear recurrence sequences ⋮ Greatest common divisors and Vojta's conjecture for blowups of algebraic tori ⋮ Common factors of shifted Fibonacci numbers ⋮ A note on the number of $S$-Diophantine quadruples ⋮ Sierpiński and Carmichael numbers







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