Astonishing Numbers

• Published in 2001
• Added on 2020-08-28

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.

Links

• https://cms.math.ca/publications/crux/issue/?volume=27&issue=1
• https://cms.math.ca/wp-content/uploads/crux-pdfs/CRUXv27n1.pdf

Other information

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 = {2001-10-09},
	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}
}