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

No Rating

Comments: ( You must be logged in to post comments.)

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

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (2)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info