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July 24, 2024SymmetryOpen Access

Goldbach–Linnik–Type Problem of Symmetric Mixed Powers of Primes and Powers of Two

Fei Xue Jinjiang Li Min Zhang Juanjuan Wu

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Abstract

This article demonstrates that every sufficiently large odd integer can be expressed as the sum of one square of a prime, six cubes of primes, and 23 powers of two. This finding represents an improvement on the previous results of Sinnadurai in 1965 and Hooley in 1981.

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Cite This Study

Xue et al. (2024) studied this question.

synapsesocial.com/papers/68e5f3f5b6db6435875889b0 https://doi.org/10.3390/sym16080945

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Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Goldbach–Linnik type problems with one prime square and six prime cubesOriginal Research · 2026
2A pair of Goldbach-Linnik equations in unlike powers of primes and powers of two2024
3On sums of powers of consecutive squares over finite fields, and sums of distinct values of polynomials2025
4On the Strong Goldbach Conjecture2025
5On the Strong Goldbach Conjecture2025

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