Title data
Geißer, Michael ; Körner, Theresa ; Kurz, Sascha ; Zahn, Anne:
Squares with three digits.
Bayreuth
,
2022
.  42 p.
DOI: https://doi.org/10.15495/EPub_UBT_00005938
This is the latest version of this item.
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 

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:  13 Jan 2022 07:28 
Last Modified:  13 Jan 2022 07:28 
URI:  https://eref.unibayreuth.de/id/eprint/68351 
Available Versions of this Item

Squares with three digits. (deposited 04 Dec 2021 22:00)
 Squares with three digits. (deposited 13 Jan 2022 07:28) [Currently Displayed]