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Two Primes and Five Mixed Fibonacci-Lucas Summands

Zhao Shen, Chenghe Xu

Source record

Source: arXiv

Published: Oct 8, 2026

arXiv: 2610.12291

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Source abstract

Using the circle method, we prove that every sufficiently large positive integer is a sum of two primes, uu Fibonacci numbers and 5−u5-u Lucas numbers for each u∈{1,2,3,4}u\in\{1,2,3,4\}. All recurrence indices are positive, and terms may be repeated.

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Two Primes and Five Mixed Fibonacci-Lucas Summands — Mathematical Frontier Network