In this study, we proved that for any positive integer n, there are infinitely many ordered pair (ܽa, ܾb) ∈ ℤ × ℤ* + where p = (a + 4ܾܽab + ܾb2݊n−1 )1/2+ 1 is a prime number. The main result follow by assuming the infinitude of prime X 2 + 1 and finitude of prime X 2 + 1.
Cloud Computing is the practice of using a network of remote servers hosted on the Internet to store, manage, and process data, rather than a local server or a personal computer. There are basically three layers in cloud computing, at the bottom is the Infrastructure, Platform in the middle and Software on top.
This paper explores the different data security issues in cloud computing in a multi-tenant environment and proposes methods to overcome the security issues. In many businesses it is used nowadays due to this reason there is need for data security. If data is leaked outside then it can cause huge loss to the business. This is the reason for study of data security problems in cloud computing and techniques to resolve this issue.