Publications of (and about) Paul Erdös
Autor: Erdös, Paul
Title: How many pairs of products of consecutive integers have the same prime factors? (Research problem). (In English)
Source: Am. Math. Mon. 87, 391-392 (1980).
Review: The solution of the recurrence relation fn = aFn-1-bFn-2 is shown to be very simply connected to the number of distinct partitions of a segment of length n into p parts of length 2 and (n-2p) parts of length 1. A sum rule is obtained and known results concerning Fibonacci numbers (for which a = b = 1) are recovered.
Classif.: * 11A41 Elemementary prime number theory
00A07 Problem books
Keywords: pairs of products of consecutive integers; prime factors
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