具体数论：新梅森理论。数的简单性和其他奇妙性质$L(n) = 2^{2n}\pm2^n\pm1$
The concrete theory of numbers : New Mersenne conjectures. Simplicity and other wonderful properties of numbers $L(n) = 2^{2n}\pm2^n\pm1$
摘要：
新梅森地图。研究了数$L(n) = 2^{2n}\pm2^n\pm1$的简单性、公共素除子和无平方问题。证明了数$L (n) $和数表示的奇妙公式$gcd $。
英文摘要：
New Mersenne conjectures. The problems of simplicity, common prime divisors and free from squares of numbers $L(n) = 2^{2n}\pm2^n\pm1$ are investigated. Wonderful formulas $gcd $ for numbers $L (n) $ and numbers repunit are proved.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
