Representing integers as sums of mixed powers of primes
Abstract
We establish two new Waring–Goldbach type representations: every sufficiently large odd integer n can be expressed as n = p 1 2 + p 2 2 + p 3 3 + p 4 3 + p 5 5 + p 6 6 + p 7 c , where each p i is prime and c ∈ { 6 , 7 } .
Fields of Study & Subjects
Analytic Number Theory Research
Advanced Mathematical Identities
Benford’s Law and Fraud Detection
Publication details
- Journal / source
- Indagationes Mathematicae
- Publisher
- Elsevier BV
- Volume
- 37
- Issue
- 5
- Pages
- 1725–1732
- Publication date
- 17 January 2026
- Language
- EN