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The supplementary materials for two-term products of Pell by Pell-Lucas numbers equaling repdigits

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posted on 2025-02-16, 12:11 authored by Harunori NakayamaHarunori Nakayama

This dataset file (.xlsx) provides supplementary support for the paper investigating whether the products of Pell numbers by Pell-Lucas numbers (Pm×Qn) can form repdigits in bases 2 to 10. These materials include computed results to determine the upper bounds of Pell and Pell-Lucas numbers based on Baker's theory and the generalized Baker-Davenport reduction method.

The Excel file consists of five worksheets:

"The computation results of the upper bound reduction using the generalized Baker-Davenport method for m, n (Pm: Pell number, Qn: Pell-Lucas number)":

・Reduction n Case I_Λ1 (1)

・Reduction n Case I_Λ1 (2)

・Reduction m Case II_Λ2

・Reduction m,n Case I,II_Λ3

"The roots of the nonlinear simultaneous inequalities and verification of function signs within the assumed range using the Maxima software package.": The roots_inequalities (28--30)

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The author declares that no funds, grants, or other support were received during the preparation of this manuscript.

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