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Divisibility in a sequence (Posted on 2017-08-12) Difficulty: 3 of 5
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)Charlie2017-08-12 12:36:27
Solutionproof (but not a proof that this is the lowest achievable)Charlie2017-08-12 11:42:49
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