On diophantine triples containing a triangular number
Abstract
A general construction yielding infinitely many families of D(m2)-triples of triangular numbers is presented. Moreover, each triple obtained from this construction contains the same triangular number T n .
Funding source: Hrvatska Zaklada za Znanost
Award Identifier / Grant number: IP-2022-10-5008
Acknowledgments
The author is grateful to A. Dujella for bringing an important reference to their attention. This work was supported by the Croatian Science Foundation grant no. IP-2022-10-5008.
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Research ethics: Not applicable.
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Informed consent: Not applicable.
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Author contributions: The author has accepted responsibility for the entire content of this manuscript and approved its submission.
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Use of Large Language Models, AI and Machine Learning Tools: During the preparation of this work, the author used Gemini (Google) in order to improve language. After using this tool, the author reviewed and edited the content as needed and takes full responsibility for the content of the publication.
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Conflict of interest: The author states no conflict of interest.
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Research funding: Croatian Science Foundation grant no. IP-2022-10-5008.
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Data availability: Not applicable.
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