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Waring--Goldbach Problem: One square, four fifth powers and fifteen sixth powers

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Contributed by Runbo Li ↗

Version 1 / Oct 21, 2026 / CC BY-SA 4.0

Abstract

We prove that for every sufficiently large even integer nn, the equation $$ n = p_1^2 + p_2^5 + p_3^5 + p_4^5 + p_5^5 + p_6^6 + \cdots + p_{20}^6 $$ has a solution with all pjp_j prime.

References

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  1. Wang, H.; Tian, S. On Waring–Goldbach problem with mixed powers. arXiv e-prints, pp. arXiv:2608.12397v1. 2026arXivDOI
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Version history

  1. v1Submitted by Runbo LiInitial depositCurrentOct 20, 2026