Economical numbers

Details Economical numbers Economical numbers

1998-02-09

arxiv.org/abs/math/9802046v1

Mathematics

Number Theory

6 pages

Scientific paper

A number $n$ is said to be economical if the prime power factorisation of $n$
can be written with no more digits than $n$ itself. We show that under a
plausible hypothesis, related to the twin prime conjecture, there are
arbitrarily long sequences of consecutive economial numbers, and exhibit such a
sequence of length 9.

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