The concrete theory of numbers : Problem of simplicity of Fermat number-twins

Details The concrete theory of numbers : Problem of simplicity of Fermat number-twins The concrete theory of numbers : Problem of simplicity of Fermat number-twins

2007-07-06

arxiv.org/abs/0707.0907v1

Mathematics

General Mathematics

6 pages

Scientific paper

The problem of simplicity of Fermat number-twins $f_{n}^{\pm}=2^{2^n}\pm3$ is
studied. The question for what $n$ numbers $f_{n}^{\pm}$ are composite is
investigated. The factor-identities for numbers of a kind $x^2 \pm k $ are
found.

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