Perfect squares as concatenation of consecutive integers
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Authors
Luca, Florian
Stănică, Pantelimon
Subjects
Advisors
Date of Issue
2019
Date
2019
Publisher
The Mathematical Association of America
Language
en_US
Abstract
We find an infinite family of positive integers a such that concatenating a and a − 1 in base 10 (from left to right) results in a number that is a perfect square and estimates for such concatenations.
Type
Article
Description
Series/Report No
Department
Applied Mathematics
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Funder
F. L. was supported in part by grant CPRR160325161141 and an A-rated scientist award both from the NRF of South Africa and by grant no. 17-02804S of the Czech Granting Agency.
Format
7 p.
Citation
F. Luca, P. Stanica, Perfect squares as concatenation of consecutive integers, American Math. Monthly 126:8 (2019), 728-734.
Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.