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On the Diophantine equation \(x (x + 1) \dots (x + n) + 1 = y^2\)

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Publication:1570241
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DOI10.3792/PJAA.76.16zbMath0996.11022OpenAlexW2041772319MaRDI QIDQ1570241

Nobuhisa Abe

Publication date: 4 November 2002

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.76.16


zbMATH Keywords

Runge's methodconsecutive integers


Mathematics Subject Classification ID

Higher degree equations; Fermat's equation (11D41)


Related Items (2)

On the Diophantine equation \(x(x+1) \cdots (x+n)+1= y^2\) \((17\leq n= \text{odd}\leq 27)\) ⋮ Cover times for sequences of reversible Markov chains on random graphs




Cites Work

  • The product of consecutive integers is never a power




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