论文标题
部分可观测时空混沌系统的无模型预测
Note On The Catalan Constant And Prime Triples
论文作者
论文摘要
存在无限多连续的Prime三元组$ p_n $，$ p_ {n+1} $，而$ p_ {n+2} $作为$ n \ to \ infty $，足以证明加泰罗尼亚常数$β（2）= 0.915965941 \ ldots $ ldots $是非理性的。本说明提供了详细的分析。此外，数值数据表明，非理性性度量为$μ（β（2））= 2 $，几乎与每个非理性实数相同。
The existence of infinitely many consecutive prime triples $p_n$, $ p_{n+1}$, and $p_{n+2}$ as $n \to \infty$, is sufficient to prove that the Catalan constant $β(2)=0.9159655941\ldots $ is an irrational number. This note provides the detailed analysis. Moreover, the numerical data suggests that the irrationality measure is $μ(β(2))=2$, the same as almost every irrational real numbers.
