Baltic Way 2022 · Problem 17
Number Theory
Let be a positive integer such that the sum of its positive divisors is at least . Prove that has at least 2022 distinct prime factors.
When you’re ready
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Review
Topics
Primes · Divisibility and factorization
Solutions
No verified local solution is currently available.
Contest context
Results from Baltic Way 2022
10 teams
- Mean score
- 3.5 / 5
- Scores of 4 or 5
- 7 / 10
- Estonia
- 5 / 5
Score distribution
02
11
20
30
41
56
All team scores
| Team | Score |
|---|---|
| Poland | 5 / 5 |
| Germany | 5 / 5 |
| Lithuania | 5 / 5 |
| Estonia | 5 / 5 |
| Denmark | 0 / 5 |
| Latvia | 0 / 5 |
| Sweden | 4 / 5 |
| Norway | 5 / 5 |
| Finland | 1 / 5 |
| Iceland | 5 / 5 |