论文标题
SP数字的代数结果以及概括
Algebraic Results on SP Numbers along with a generalization
论文作者
论文摘要
我们将表格$ p \ cdot a^2 $定义为SP数字（Square-Prime数字）（$ a \ neq1 $，$ p $ prime）在纸上的“平方平方数字”（Arxiv：2109.10238）中以及分布的证明。 SP数字的一些示例：75 = 3 $ \ CDOT $ 25; 108 = 3 $ \ cdot $ 36; 45 = 5 $ \ cdot $ 9。这些数字在OEIS中列为A228056。在本文中，我们将证明一些代数定理并概括了SP数字的定义，以允许任意自然数量的因素。
We defined numbers of the form $p\cdot a^2$ as SP numbers (Square-Prime numbers) ($a\neq1$, $p$ prime) in the paper 'Distribution of Square-Prime numbers' (arXiv:2109.10238) along with proofs on their distribution. Some examples of SP Numbers : 75 = 3 $\cdot$ 25; 108 = 3 $\cdot$ 36; 45 = 5 $\cdot$ 9. These numbers are listed in the OEIS as A228056. In this paper, we will prove a few algebraic theorems and generalize the definition of SP Numbers to allow factors of arbitrary natural number powers.
