Construct · 1 fields · 1 citations

Catalan's conjecture: a standalone construct

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Number theory

8 and 9 are the only pair of consecutive perfect powers among the positive integers.

In number theory, Catalan's conjecture refers to 8 and 9 are the only pair of consecutive perfect powers among the positive integers. This meaning comes from Mihailescu (2004) in Journal für die reine und angewandte Mathematik (Crelles Journal).[1]

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Nearby constructs

number3 fields · 6 citationsjingle · one word, three constructs

References

Mihailescu, P. (2004). Primary cyclotomic units and a proof of Catalans conjecture. Journal für die reine und angewandte Mathematik (Crelles Journal), 2004(572). https://doi.org/10.1515/crll.2004.048

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