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ID 115943
Author
Furuya, Naoki Tokushima University
Nishioka, Yuki Tokushima University
Content Type
Departmental Bulletin Paper
Description
A pentagonal square triangular number is a number which is a pentagonal number P5(ℓ), a square y2 and a triangular number P3(m) at the same time. It would be well known for the specialists that there exists no pentagonal square triangular number except for P3(1) = 12 = P5(1) = 1. But we don’t know any simple reference of the proof of this fact in print. The object of this note is to provide a such reference. Here we shall present three independent proofs of this fact one of which was already referred in the net article [24].
Journal Title
Journal of Mathematics
ISSN
13467387
NCID
AA11595324
Publisher
TOKUSHIMA UNIVERSITY
Volume
54
Start Page
1
End Page
12
Sort Key
1
Published Date
2020
EDB ID
FullText File
jm_54_1.pdf 363 KB
language
eng
TextVersion
Publisher
departments
Science and Technology