# Primes Generated by Recurrence Sequences

@article{Everest2007PrimesGB, title={Primes Generated by Recurrence Sequences}, author={G. Everest and S. Stevens and D. Tamsett and T. Ward}, journal={The American Mathematical Monthly}, year={2007}, volume={114}, pages={417 - 431} }

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.

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