Beta
Squareful segments
Description:
A natural number is called not squarefree (squareful?) if there is some natural number such that . Your goal is to show that there are arbitrarily long segments of consecutive natural numbers which are all not squarefree:
theorem exists_not_squarefree : ∀ (n : ℕ), ∃ N, ∀ k ≤ n, ∃ p, p > 1 ∧ p^2 ∣ N + k :=
sorry
Mathematics
Fundamentals
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Stats:
| Created | May 7, 2020 |
| Published | May 7, 2020 |
| Warriors Trained | 13 |
| Total Skips | 0 |
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| Total Times Completed | 3 |
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| Average Assessed Rank | 4 kyu |
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