AI 中文总结
该研究运用圆法证明，足够大的正整数可表示为两个素数与六个斐波那契数之和、两个素数与七个卢卡斯数之和，还可表示为两个素数、三个斐波那契数与三个卢卡斯数之和。
AI 中文摘要
通过圆法，我们推导出所有足够大的正整数均可表示为两个素数与六个正斐波那契数之和，也可表示为两个素数与七个卢卡斯数之和。我们还证明，每个足够大的正整数都可写成两个素数、三个斐波那契数与三个卢卡斯数之和。
英文摘要
Via the circle method, we deduce that all sufficiently large positive integers are sums of two primes and six positive Fibonacci numbers, and are also sums of two primes and seven Lucas numbers. We also prove that each sufficiently large positive integer can be written as a sum of two primes, three Fibonacci numbers, and three Lucas numbers.
Comments20 pages
