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.
In India, the population of Muslims is about 180 million and the majority of them live below poverty line and if non-Muslims are taken together this number reaches to about 77% of total Indian population, Microfinance is providing financial services to poor people, who traditionally lack access to banking and related services. Islamic Microfinance is based on Islamic principles in which interest/ Riba / Usury is prohibited. When loan is given without interest on the borrowed money, this loan is known as Qard-e-Hasana. The operational costs incurred in Islamic Microfinance Institutions (IMFI) is one of the major issues i.e. from where operational costs (which includes rent of space, salary of personnel, other overhead costs etc) should be compensated as no interest is charged in Islamic Microfinance. Islamic microfinance products are still quite small relative to the conventional microfinance sector and there is hindrance in growth, expansion and sustainable development due to the above discussed issue. Many IMFI charge 3-5% as service charge from the borrowers to cover operational cost, this service charge is interest/ riba as fixed amount is charged on the borrowed money, secondly, it gives an extra financial burden to the people who are already poor and needy. The primary purpose of IMFI is to provide financial support to the financially venerable people of the society and poverty alleviation. The problem discussed above can be solved by using Masjid space for IMFI office and using resources obtained from Waqf and Infaq