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arXiv · 2009.12607

Pell and Pell-Lucas numbers as sums of three repdigits

Kisan Bhoi·Bijan Kumar Patel·Prasanta Kumar Ray
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Abstract

In this study, we find all Pell and Pell-Lucas numbers which are sums of three base 10 repdigits. The proof of our main theorem uses lower bounds for linear forms in logarithms of algebraic numbers and a version of the Baker-Davenport reduction method.

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Kisan Bhoi, Bijan Kumar Patel, Prasanta Kumar Ray. 2020-09-26. Pell and Pell-Lucas numbers as sums of three repdigits. https://arxiv.org/abs/2009.12607

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