On Solutions to the Diophantine Equation M^x+ (M + 6)^y = z^2when M = 6N + 5
نویسندگان
چکیده
منابع مشابه
Upper bounds on the solutions to n = p+m^2
ardy and Littlewood conjectured that every large integer $n$ that is not a square is the sum of a prime and a square. They believed that the number $mathcal{R}(n)$ of such representations for $n = p+m^2$ is asymptotically given by begin{equation*} mathcal{R}(n) sim frac{sqrt{n}}{log n}prod_{p=3}^{infty}left(1-frac{1}{p-1}left(frac{n}{p}right)right), end{equation*} where $p$ is a prime, $m$ is a...
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ژورنال
عنوان ژورنال: Annals of Pure and Applied Mathematics
سال: 2018
ISSN: 2279-087X,2279-0888
DOI: 10.22457/apam.v18n2a9