On the factorization of Lucas numbers (Q2735215)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On the factorization of Lucas numbers |
scientific article; zbMATH DE number 1640207
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the factorization of Lucas numbers |
scientific article; zbMATH DE number 1640207 |
Statements
3 September 2002
0 references
Lucas numbers
0 references
factorization
0 references
0.93269885
0 references
0.91879034
0 references
0 references
0 references
0 references
On the factorization of Lucas numbers (English)
0 references
Let \(L_n= r(r+k)\), where \(L_n\) denotes the \(n\)th Lucas number. The author shows that for a given value of \(k\), there are at most finitely many corresponding values of \(n\). He also finds upper bounds for \(n\) in terms of \(k\) when \(k\) belongs to any one of eight congruence classes \((\operatorname {mod}25)\).
0 references
