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Zbl 1117.11005
Farhi, Bakir
Nontrivial lower bounds for the least common multiple of some sequences of integers. (Minorations non triviales du plus petit commun multiple de certaines suites finies d'entiers.) (French)
[J] C. R., Math., Acad. Sci. Paris 341, No. 8, 469-474 (2005). ISSN 1631-073X

A method to obtain nontrivial lower bounds for the least common multiple of $n$ consecutive terms of some sequences of integers, including arithmetic progressions and sequences with general term $u_n=an(n+t)+b$, where $a,b,t$ are integers, $a\ge 5$, $t\ge 0$, $(a,b)=1$, is presented.
[László Tóth (Pécs)]

MSC 2000:: *11A05 Multiplicative structure of the integers

Keywords: least common multiple; sequence of integers

Cited in: Zbl 1157.11001 Zbl 1156.11004

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