# Dismal Arithmetic

• Published in 2011
In the collections
Dismal arithmetic is just like the arithmetic you learned in school, only simpler: there are no carries, when you add digits you just take the largest, and when you multiply digits you take the smallest. This paper studies basic number theory in this world, including analogues of the primes, number of divisors, sum of divisors, and the partition function.

### BibTeX entry

@article{DismalArithmetic,
title = {Dismal Arithmetic},
abstract = {Dismal arithmetic is just like the arithmetic you learned in school, only
simpler: there are no carries, when you add digits you just take the largest,
and when you multiply digits you take the smallest. This paper studies basic
number theory in this world, including analogues of the primes, number of
divisors, sum of divisors, and the partition function.},
url = {http://arxiv.org/abs/1107.1130v2 http://arxiv.org/pdf/1107.1130v2},
author = {David Applegate and Marc LeBrun and N. J. A. Sloane},
comment = {},
urldate = {2016-05-19},
archivePrefix = {arXiv},
eprint = {1107.1130},
primaryClass = {math.NT},
collections = {Unusual arithmetic,Easily explained,Integerology},
year = 2011
}