perplexus.info :: Numbers : Divisibility in a sequence

Divisibility in a sequence (Posted on 2017-08-12)

Show that in every sequence of 79 consecutive positive integers, there is a positive integer whose sum of digits is divisible by 13.

No Solution Yet Submitted by Danish Ahmed Khan

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Subject	Author	Date
Existence proof (lowest pair requiring 79)	Charlie	2017-08-12 12:36:27
proof (but not a proof that this is the lowest achievable)	Charlie	2017-08-12 11:42:49

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