Large strings of consecutive smooth integers

Details Large strings of consecutive smooth integers Large strings of consecutive smooth integers

2011-08-18

arxiv.org/abs/1108.3710v1

Arch. Math. (Basel) 97 (2011), 319-324

Mathematics

Number Theory

7 pages, to appear in Arch. Math. (Basel)

Scientific paper

In this note we improve an algorithm from a recent paper by Bauer and Bennett
for computing a function of Erd\"os that measures the minimal gap size $f(k)$
in the sequence of integers at least one of whose prime factors exceeds $k$.
This allows us to compute values of $f(k)$ for larger $k$ and obtain new values
of $f(k)$.

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