Economical numbers

Richard G. E. Pinch

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arXiv · math/9802046

Economical numbers

Richard G. E. Pinch

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Abstract

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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Richard G. E. Pinch. 1998-02-09. Economical numbers. https://arxiv.org/abs/math/9802046

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