Abstract
We consider primitive divisors of terms of integer sequences defined by quadratic polynomials. Apart from some small counterexamples, when a term has a primitive divisor, that primitive divisor is unique. It seems likely that the number of terms with a primitive divisor has a natural density. We discuss two heuristic arguments to suggest a value for that density, one using recent advances made about the distribution of roots of polynomial congruences.
| Original language | English |
|---|---|
| Pages (from-to) | 417-431 |
| Number of pages | 15 |
| Journal | American Mathematical Monthly |
| Volume | 114 |
| Issue number | 5 |
| Publication status | Published - 2007 |
Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver