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Primitive divisors of Lucas and Lehmer sequences
- Source :
- Math. Comp. 64 (1995), 869-888
- Publication Year :
- 2012
-
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.
- Subjects :
- Mathematics - Number Theory
11D61
Subjects
Details
- Database :
- arXiv
- Journal :
- Math. Comp. 64 (1995), 869-888
- Publication Type :
- Report
- Accession number :
- edsarx.1201.6659
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1090/S0025-5718-1995-1284673-6