Primitive divisors of Lucas and Lehmer sequences

Details Primitive divisors of Lucas and Lehmer sequences Primitive divisors of Lucas and Lehmer sequences

2012-01-31

arxiv.org/abs/1201.6659v1

Math. Comp. 64 (1995), 869-888

Mathematics

Number Theory

Scientific paper

10.1090/S0025-5718-1995-1284673-

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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