Journal of Integer Sequences, Vol. 6 (2003), Article 03.2.5

Large and Small Gaps Between Consecutive Niven Numbers

Jean-Marie De Koninck and Nicolas Doyon
Département de mathématiques et de statistique
Université Laval
Québec G1K 7P4

Abstract: A positive integer is said to be a Niven number if it is divisible by the sum of its decimal digits. We investigate the occurrence of large and small gaps between consecutive Niven numbers.

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(Concerned with sequence A005349 .)

Received October 21, 2002; revised version received June 20, 2003. Published in Journal of Integer Sequences July 9, 2003.

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