ID | 115943 |
Author |
Katayama, Shin-ichi
Tokushima University
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Furuya, Naoki
Tokushima University
Nishioka, Yuki
Tokushima University
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Content Type |
Departmental Bulletin Paper
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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].
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Journal Title |
Journal of Mathematics
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ISSN | 13467387
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NCID | AA11595324
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Publisher | TOKUSHIMA UNIVERSITY
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Volume | 54
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Start Page | 1
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End Page | 12
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Sort Key | 1
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Published Date | 2020
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EDB ID | |
FullText File | |
language |
eng
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TextVersion |
Publisher
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departments |
Science and Technology
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