It takes the average reader 4 hours and 9 minutes to read The Problem of Catalan by Yuri F. Bilu
Assuming a reading speed of 250 words per minute. Learn more
In 1842 the Belgian mathematician Eugène Charles Catalan asked whether 8 and 9 are the only consecutive pure powers of non-zero integers. 160 years after, the question was answered affirmatively by the Swiss mathematician of Romanian origin Preda Mihăilescu. In other words, 32 – 23 = 1 is the only solution of the equation xp – yq = 1 in integers x, y, p, q with xy ≠ 0 and p, q ≥ 2. In this book we give a complete and (almost) self-contained exposition of Mihăilescu’s work, which must be understandable by a curious university student, not necessarily specializing in Number Theory. We assume a very modest background:a standard university course of algebra, including basic Galois theory, and working knowledge of basic algebraic number theory.
The Problem of Catalan by Yuri F. Bilu is 245 pages long, and a total of 62,475 words.
This makes it 83% the length of the average book. It also has 76% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 5 hours and 41 minutes to read The Problem of Catalan aloud.
The Problem of Catalan is suitable for students ages 12 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
When deciding what to show young students always use your best judgement and consult a professional.
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