Title data
Geißer, Michael ; Körner, Theresa ; Kurz, Sascha ; Zahn, Anne:
Squares with three digits.
Bayreuth
,
2021
. - 42 p.
DOI: https://doi.org/10.15495/EPub_UBT_00005912
There is a more recent version of this item available. |
Abstract in another language
We consider integers whose squares have just three decimal digits. Examples are e.g. given by 2108436491907081488939581538<sup>2</sup> = 4445504440405440505004450045555054500055550554550445444 and
10100000000010401000000000101<sup>2</sup> = 102010000000210100200000110221001000002101002000000010201. The aim of this paper is to summarize the current knowledge on squares with three digits, scattered around webpages and newsgroup postings, and to add a few new insights. While we will mostly focus on the base B=10, several results are presented for general values of B. The used mathematical tools are completely elementary. However, we give complete proofs of all statements or explicitly state them as conjectures.
Further data
Item Type: | Preprint, postprint |
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Keywords: | radix representation; digital problems; squares; recreational mathematics |
Subject classification: | Mathematics Subject Classification Code: 11A63 (00A08) |
Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematical Economics Faculties |
Result of work at the UBT: | Yes |
DDC Subjects: | 000 Computer Science, information, general works > 004 Computer science 500 Science > 510 Mathematics |
Date Deposited: | 04 Dec 2021 22:00 |
Last Modified: | 13 Jan 2022 07:24 |
URI: | https://eref.uni-bayreuth.de/id/eprint/68082 |
Available Versions of this Item
- Squares with three digits. (deposited 04 Dec 2021 22:00) [Currently Displayed]