Lesson plan
Kempner function
In number theory, the Kempner function S(n) is defined for a given positive integer n to be the smallest number s such that n divides the For example, the number 8 does not divide 1! , 2! , but does This function has a highly irregular growth rate: it grows linearly on the prime numbers but only grows sublogarithmically at the factorial numbers.
Article summary
In number theory, the Kempner function S(n) is defined for a given positive integer n to be the smallest number s such that n divides the For example, the number 8 does not divide 1! , 2! , but does This function has a highly irregular growth rate: it grows linearly on the prime numbers but only grows sublogarithmically at the factorial numbers.
Key claims
No claims recorded.
Discussion questions
- Summarise the article in your own words. Which single claim would you verify first, and why?
- Which claim in this article is most likely to be revised as the sources update? How would you check its current status?
- If two sources disagreed about one of these facts, what would you need in order to trust one over the other?
Bibliography
No sources recorded.
Key claims and bibliography are generated from the same tracked claims and sources as the article page.