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Keith Numbers

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Author:Mike Keith
Description: A Keith number is an n-digit integer N with the following property: If a Fibonacci-like sequence (in which each term in the sequence is the sum of the n previous terms) is formed, with the first n terms being the decimal digits of the number N, then N itself occurs as a term in the sequence. Keith numbers are all known up to 10^19. Can you find the next one? A recreational mathematics problem related to recurrent sequences and Diophantine equations.

Levels: College
Languages: English
Math Topics: Number Theory

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