Question

Does there exist a perfect square whose digits sum to `2001`?

Justify or provide an example!

Difficulty level (1 very easy - 10 very hard): 3

Topics:
Number Theory -> Modular Arithmetic / Remainder Arithmetic -> Divisibility Rules -> Divisibility Rules by 3 and 9 Number Theory -> Division -> Parity (Even/Odd) Number Theory -> Prime Numbers -> Prime Factorization Proof and Example -> Proof by Contradiction
Sources:
注讚讬 讚诪专讬 Avatar
注讚讬 讚诪专讬 - 5 years ago
诇讗

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