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<p>We establish that every sufficiently large odd integer can be written as a sum of two squares, a cube, a fourth power, a fifth power, and two sixth powers of primes. In addition, we prove that every sufficiently large odd integer not divisible by 3 can be expressed as a sum of two squares, three fourth powers, a fifth power, and a sixth power of primes.</p>

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On some Waring–Goldbach problems

  • 期刊论文

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  • 发表日期：

    2026年2月20日

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  • Geovane Matheus Lemes Andrade

摘要

We establish that every sufficiently large odd integer can be written as a sum of two squares, a cube, a fourth power, a fifth power, and two sixth powers of primes. In addition, we prove that every sufficiently large odd integer not divisible by 3 can be expressed as a sum of two squares, three fourth powers, a fifth power, and a sixth power of primes.