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<p>It is proved that every sufficiently large odd number can be expressed as a sum of one prime, four prime cubes and 9 powers of 2. This improves the previous result for <i>k</i> = 15. Also, when <i>k</i> = 27, every sufficiently large even integer can be represented in a sum of eight cubes of primes and <i>k</i> powers of 2. This is an improvement of previous result for <i>k</i> = 28.</p>

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Goldbach-Linnik Problem on Unlike Powers of Primes and Powers of Two

  • 期刊论文

  • 发表日期：

    2025年1月5日

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  • Liqun Hu,
  • Xuan Long,
  • Huimin Wang

摘要

It is proved that every sufficiently large odd number can be expressed as a sum of one prime, four prime cubes and 9 powers of 2. This improves the previous result for k = 15. Also, when k = 27, every sufficiently large even integer can be represented in a sum of eight cubes of primes and k powers of 2. This is an improvement of previous result for k = 28.