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Squares with three digits

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

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Official URL: Volltext

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.uni-bayreuth.de/id/eprint/68351

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