Mihai Cipu
Abstract
Open-access reader
A set of $m$ positive integers with the property that the product of any two of them is the predecessor of a perfect square is called a Diophantine $m$-tuple. Much work has been done attempting to prove that there exist no Diophantine quintuples. I
OpenAlex reports 24 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
A set of $m$ positive integers with the property that the product of any two of them is the predecessor of a perfect square is called a Diophantine $m$-tuple. Much work has been done attempting to prove that there exist no Diophantine quintuples. I
Key concepts: Diophantine equation, Mathematics, Square number, Diophantine set, Property (philosophy), Diophantine geometry, Product (mathematics), Square (algebra)