By David Chudnovsky,Gregory Chudnovsky
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In 1842 the Belgian mathematician Eugène Charles Catalan requested even if eight and nine are the single consecutive natural powers of non-zero integers. one hundred sixty years after, the query was once spoke back affirmatively through the Swiss mathematician of Romanian starting place Preda Mihăilescu. In different phrases, 32 – 23 = 1 is the one answer of the equation xp – yq = 1 in integers x, y, p, q with xy ≠ zero and p, q ≥ 2.
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Additive Number Theory: Festschrift In Honor of the Sixtieth Birthday of Melvyn B. Nathanson by David Chudnovsky,Gregory Chudnovsky