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arXiv · 1201.6659

Primitive divisors of Lucas and Lehmer sequences

Paul M Voutier
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Abstract

Stewart reduced the problem of determining all Lucas and Lehmer sequences whose $n$-th element does not have a primitive divisor to solving certain Thue equations. Using the method of Tzanakis and de Weger for solving Thue equations, we determine such sequences for $n \leq 30$. Further computations lead us to conjecture that, for $n > 30$, the $n$-th element of such sequences always has a primitive divisor.

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Paul M Voutier. 2012-01-31. Primitive divisors of Lucas and Lehmer sequences. https://doi.org/10.1090/s0025-5718-1995-1284673-6

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