中文

Economical numbers

数论 2007-05-23 v1

摘要

A number nn is said to be economical if the prime power factorisation of nn can be written with no more digits than nn 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.

引用

@article{arxiv.math/9802046,
  title  = {Economical numbers},
  author = {Richard G. E. Pinch},
  journal= {arXiv preprint arXiv:math/9802046},
  year   = {2007}
}

备注

6 pages