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In this paper, by using linear forms in logarithms and the Baker–Davenport reduction procedure we prove that there are no even perfect numbers appearing in generalized Pell sequences. We also… Click to show full abstract
In this paper, by using linear forms in logarithms and the Baker–Davenport reduction procedure we prove that there are no even perfect numbers appearing in generalized Pell sequences. We also deduce some interesting results involving generalized Pell numbers, which we believe are of independent interest. This paper continues a previous work that searched for perfect numbers in the classical Pell sequence.
Keywords:
numbers generalized;
pell sequences;
generalized pell;
even perfect;
perfect numbers
Journal Title: Lithuanian Mathematical Journal
Year Published: 2020
Link to full text (if available)
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Journal Title: Lithuanian Mathematical Journal
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!