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Extends p-adic valuations of Möbius duals in irregular Lucas sequences, suggesting insights into primes.
In this paper, we extend the p-adic valuations of the Möbius duals of Lucas sequences, originally obtained by Carmichael for regular Lucas sequences, to irregular Lucas sequences. We conclude with a brief observation about the relationship of these valuations to the existence of Wall-Sun-Sun primes.
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Ross et al. (2026) studied this question.
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