On integers of the forms <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>k</mml:mi><mml:mo>±</mml:mo><mml:msup><mml:mn>2</mml:mn><mml:mi>n</mml:mi></mml:msup></mml:math> and <mml:math altimg="si2.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>k</mml:mi><mml:msup><mml:mn>2</mml:mn><mml:mi>n</mml:mi></mml:msup><mml:mo>±</mml:mo><mml:mn>1</mml:mn></mml:math>-Reference-Cited by-同舟云学术

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On integers of the forms k±2n and k2n±1

Published:2007-07 Issue:1 Volume:125 Page:14-25
ISSN:0022-314X
Container-title:Journal of Number Theory
language:en
Short-container-title:Journal of Number Theory

Author:

Chen Yong-Gao

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference41 articles.

1. New primes of the form k⋅2n+1;Baillie;Math. Comp.,1979

2. The problem of Sierpiński concerning k⋅2n+1;Baillie;Math. Comp.,1981

3. The problem of Sierpiński concerning k⋅2n+1;Baillie;Math. Comp.,1982

4. Taltheoretiske Undersøgelser;Bang;Tidsskrift for Mat. (5),1886

5. Biquadratic reciprocity and a Lucasian primality test;Berrizbeitia;Math. Comp.,2004

Cited by 15 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On a problem of Romanoff type;Acta Arithmetica;2022

2. Iterated Riesel and Iterated Sierpiński Numbers;Combinatorial and Additive Number Theory III;2019-12-11

3. Primes of the form $${kM^n+n}$$ k M n + n;Acta Mathematica Hungarica;2019-01-24

4. ON THE INTEGERS OF THE FORM $p+b$;Taiwanese Journal of Mathematics;2014-09-01

5. Nonlinear Sierpiński and Riesel numbers;Journal of Number Theory;2013-02

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