This research establishes conditions for expressing odd integers as sums of powers of primes, indicating novel insights into number theory.
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.
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Geovane Matheus Lemes Andrade (2026) studied this question.
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