scholarly journals Four prime squares and powers of 2

2006 ◽  
Vol 125 (4) ◽  
pp. 383-391 ◽  
Author(s):  
Hongze Li
Keyword(s):  
Powers Of 2 ◽  
Prime Squares

Two prime squares, four prime cubes and powers of 2

2019 ◽  
Vol 187 (2) ◽  
pp. 143-150
Author(s):  
Xiaodong Zhao
Keyword(s):  
Powers Of 2 ◽  
Prime Squares

A pair of equations in four prime squares and powers of 2

2019 ◽  
Author(s):  
Liqun Hu ◽  
Yafang Kong ◽  
Zhixin Liu
Keyword(s):  
Powers Of 2 ◽  
Prime Squares

scholarly journals A pair of equations in unlike powers of primes and powers of 2

2020 ◽  
Vol 18 (1) ◽  
pp. 662-670
Author(s):  
Yong Cai ◽  
Liqun Hu
Keyword(s):  
Necessary Conditions ◽  
Powers Of 2 ◽  
Prime Squares

Abstract In this article, we show that every pair of large even integers satisfying some necessary conditions can be represented in the form of a pair of one prime, one prime squares, two prime cubes, and 187 powers of 2.

ON PAIRS OF ONE PRIME, TWO PRIME SQUARES AND POWERS OF 2

2013 ◽  
Vol 09 (06) ◽  
pp. 1413-1421 ◽  
Author(s):  
ZHIXIN LIU
Keyword(s):  
Necessary Conditions ◽  
Short Paper ◽  
Powers Of 2 ◽  
Prime Squares

In this short paper, it is proved that every pair of large positive odd integers satisfying some necessary conditions can be represented in the form of a pair of one prime, two prime squares and k powers of 2. In particular, we have k = 332.

ON SUMS OF TWO PRIME SQUARES, FOUR PRIME CUBES AND POWERS OF TWO

2020 ◽  
Vol 102 (2) ◽  
pp. 207-216
Author(s):  
YUHUI LIU
Keyword(s):  
Number Theory ◽  
Goldbach Problem ◽  
Powers Of 2 ◽  
Prime Squares

We prove that every sufficiently large even integer can be represented as the sum of two squares of primes, four cubes of primes and 28 powers of two. This improves the result obtained by Liu and Lü [‘Two results on powers of 2 in Waring–Goldbach problem’, J. Number Theory 131(4) (2011), 716–736].

Quaternary quartic forms representing infinitely many prime squares

2015 ◽  
Vol 08 (03) ◽  
pp. 1550062
Author(s):  
Soufiane Mezroui ◽  
Abdelmalek Azizi ◽  
M'hammed Ziane
Keyword(s):  
Prime Squares

Using a generalized form of Weber’s theorem we construct a family of quaternary quartic forms representing infinitely many prime squares.

3095. Prime Squares

1964 ◽  
Vol 48 (364) ◽  
pp. 213 ◽  
Author(s):  
H. G. ApSimon
Keyword(s):  
Prime Squares

scholarly journals Associative spectra of graph algebras I

2021 ◽  
Author(s):  
Erkko Lehtonen ◽  
Tamás Waldhauser
Keyword(s):  
Catalan Numbers ◽  
Graph Algebras ◽  
Undirected Graphs ◽  
Powers Of 2

AbstractAssociative spectra of graph algebras are examined with the help of homomorphisms of DFS trees. Undirected graphs are classified according to the associative spectra of their graph algebras; there are only three distinct possibilities: constant 1, powers of 2, and Catalan numbers. Associative and antiassociative digraphs are described, and associative spectra are determined for certain families of digraphs, such as paths, cycles, and graphs on two vertices.

Sign in / Sign up

Export Citation Format

Share Document