One of These is Divisible by 2003... @WrathofMath

Uploaded March 2025 | Updated September 2026, 2 weeks ago

We have to prove that in the sequence 7, 77, 777, ... there is at least one term which is divisible by 2003. How do we do this? Well, we'll need the pigeonhole principle and the division lemma. Some simple logic will get us the rest of the way. This has the vibe of a math competition problem, but I found it in A Walk Through Combinatorics by Miklos Bona. #mathproblems #mathpuzzle #maths

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0:00 Intro
0:45 Solution Start
2:37 The Trick
4:59 Lotsa 7s
6:42 Closing Argument
8:23 Conclusion

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