Two Primes and Five Mixed Fibonacci-Lucas Summands

Zhao Shen; Chenghe Xu

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arXiv · 2610.12291

Two Primes and Five Mixed Fibonacci-Lucas Summands

Zhao Shen·Chenghe Xu

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Abstract

Using the circle method, we prove that every sufficiently large positive integer is a sum of two primes, $u$ Fibonacci numbers and $5-u$ Lucas numbers for each $u\in\{1,2,3,4\}$. All recurrence indices are positive, and terms may be repeated.

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BibTeX RIS

Zhao Shen, Chenghe Xu. 2026-10-08. Two Primes and Five Mixed Fibonacci-Lucas Summands. https://arxiv.org/abs/2610.12291

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