Interesting Esoterica

Astonishing Numbers

Article by Richard Hoshino
  • Published in 2001
  • Added on
We say that an ordered pair of positive integers \(a,b\) with \(a \lt b\) is astonishing if the sum of the integers from \(a\) to \(b\), inclusive, is equal to the digits of \(a\) followed by the digits of \(b\). Determine all astonishing ordered pairs.

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Other information

key
AstonishingNumbers
type
article
date_added
2020-08-28
date_published
2001-09-26

BibTeX entry

@article{AstonishingNumbers,
	key = {AstonishingNumbers},
	type = {article},
	title = {Astonishing Numbers},
	author = {Richard Hoshino},
	abstract = {We say that an ordered pair of positive integers \(a,b\) with \(a \lt b\) is astonishing if the sum of the integers from \(a\) to \(b\), inclusive, is equal to the digits of \(a\) followed by the digits of \(b\). Determine all astonishing ordered pairs.},
	comment = {},
	date_added = {2020-08-28},
	date_published = {2001-09-26},
	urls = {https://cms.math.ca/publications/crux/issue/?volume=27{\&}issue=1,https://cms.math.ca/wp-content/uploads/crux-pdfs/CRUXv27n1.pdf},
	collections = {attention-grabbing-titles,easily-explained,integerology},
	url = {https://cms.math.ca/publications/crux/issue/?volume=27{\&}issue=1 https://cms.math.ca/wp-content/uploads/crux-pdfs/CRUXv27n1.pdf},
	year = 2001,
	urldate = {2020-08-28}
}