Straddled numbers: numbers equal to the sum of powers of consecutive primes from the least prime factor to the largest prime factor

Miroslav Kureš
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 25, 2019, Number 2, Pages 8—15
DOI: 10.7546/nntdm.2019.25.2.8-15
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Authors and affiliations

Miroslav Kureš 
Department of Mathematics, Brno University of Technology
Technicka 2, 61669 Brno, Czech Republic

Abstract

Positive integers equal to the sum of powers of consecutive primes from the least prime factor to the largest prime factor are studied. They are called the straddled numbers and their properties are derived. There are also presented some findings of such numbers and asymptotic expansions are used, too.

Keywords

    • Sums of primes
  • Sums of prime powers
  • Waring–Goldbach-type problems

2010 Mathematics Subject Classification

  • 11A51
  • 11P32

References

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Cite this paper

APA

Kureš, M. (2019). Straddled numbers: numbers equal to the sum of powers of consecutive primes from the least prime factor to the largest prime factor. Notes on Number Theory and Discrete Mathematics, 25(2), 8-15, doi: 10.7546/nntdm.2019.25.2.8-15.

Chicago

Kureš, Miroslav. “Straddled Numbers: Numbers Equal to the Sum of Powers of Consecutive Primes from the Least Prime Factor to the Largest Prime Factor.” Notes on Number Theory and Discrete Mathematics 25, no. 2 (2019): 8-15, doi: 10.7546/nntdm.2019.25.2.8-15.

MLA

Kureš, Miroslav. “Straddled Numbers: Numbers Equal to the Sum of Powers of Consecutive Primes from the Least Prime Factor to the Largest Prime Factor.” Notes on Number Theory and Discrete Mathematics 25.2 (2019): 8-15. Print, doi: 10.7546/nntdm.2019.25.2.8-15.

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