A note on the Diophantine equation \((x+1)^3 + (x+2)^3 + \cdots + (2x)^3 = y^n\)

DOI10.4171/EM/450MaRDI QIDQ2674987

Nguyen Xuan Tho

Publication date: 20 September 2022

Published in: Elemente der Mathematik (Search for Journal in Brave)

zbMATH Keywords

gcdperfect square

Mathematics Subject Classification ID

Congruences; primitive roots; residue systems (11A07) Exponential Diophantine equations (11D61) Higher degree equations; Fermat's equation (11D41) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)

Cites Work

• On the Diophantine equation \((x+1)^2+(x+2)^2+\ldots+(x+d)^2=y^n\)
• On the Diophantine equation \((x+1)^{k}+(x+2)^{k}+\ldots+(2x)^{k}=y^{n}\)
• On the Diophantine equation $(x+1)^{k}+(x+2)^{k}+\cdots+(lx)^{k}=y^{n}$

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