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 |
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Pages (from-to) | 417-431 |
Number of pages | 15 |
Journal | American Mathematical Monthly |
Volume | 114 |
Issue number | 5 |
Publication status | Published - 2007 |