Kyle Harrison
research-paper
Crazy Sequential Representation: Numbers from 0 to 11111 in Terms of Increasing and Decreasing Orders of 1 to 9
TL;DR — 161 pages writing every number from 0 to 11111 using the digits 1 through 9 in order, and in reverse. Only 10958 resists.
arXiv:1302.1479 (v5, January 2014). Using addition, multiplication, subtraction, exponentiation, division and brackets, Taneja expresses each number with the digits 1–9 in increasing order and again in decreasing order. Every number has an increasing representation except 10958, which later became a small internet puzzle.
What it is: recreational mathematics, essentially a very long table.
Where this came from
- r/obscurePDFs post, October 2024 — “Inder J. Taneja - Numbers from 0 to 11111 in terms of Increasing and Decreasing Orders of 1 to 9”. Routing record: The obscurePDFs Subreddit
- Archived copy (Google Drive): Google Drive
161 pages. A copy is archived locally against link rot; the header links the original source.