Keith Numbers
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Mike Keith  
A Keith number is an ndigit integer N with the following property: If a Fibonaccilike 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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