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On the diophantine equation $x^2+x+1=yz$

Volume 141 / 2015

A. Schinzel Colloquium Mathematicum 141 (2015), 243-248 MSC: Primary 11D09. DOI: 10.4064/cm141-2-8


All solutions of the equation $x^2+x+1=yz$ in non-negative integers $x,y,z$ are given in terms of an arithmetic continued fraction.


  • A. SchinzelInstitute of Mathematics
    Polish Academy of Sciences
    Śniadeckich 8
    00-656 Warszawa, Poland

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