Economical numbers
Number Theory
2007-05-23 v1
Abstract
A number is said to be economical if the prime power factorisation of can be written with no more digits than 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.
Cite
@article{arxiv.math/9802046,
title = {Economical numbers},
author = {Richard G. E. Pinch},
journal= {arXiv preprint arXiv:math/9802046},
year = {2007}
}
Comments
6 pages