In this article, a new deterministic primality test for Mersenne primes is presented. It also includes a comparative study between well-known primality tests in order to identify the best test. Moreover, new modifications are suggested in order to eliminate pseudoprimes. The study covers random primes such as Mersenne primes and Proth primes. Finally, these tests are arranged from the best to the worst according to strength, speed, and effectiveness based on the results obtained through programs prepared and operated by Mathematica, and the results are presented through tables and graphs.

In this work various correlation methods were employed to investigate the annual cross-correlation patterns among three different ionospheric parameters: Optimum Working Frequency (OWF), Highest Probable Frequency (HPF), and Best Usable Frequency (BUF). The annual predicted dataset for these parameters were generated using VOCAP and ASASPS models based on the monthly Sunspot Numbers (SSN) during two years of solar cycle 24, minimum 2009 and maximum 2014. The investigation was conducted for Thirty-two different transmitter/receiver stations distributed over Middle East. The locations were selected based on the geodesic parameters which were calculated for different path lengths (500, 1000, 1500, and 2000) km and bearings (N, NE, E, S

يهدف البحث الى تحليل الخيارات الاستراتيجية للاقتراض الخارجي في العراق لاستشراف افضل الخيارات الاستراتيجية المستقبلية في مجال الاقتراض الخارجي في دائرة الدين العام في وزارة المالية ، وقد استخدم الباحث منهج دراسة الحالة وباستعمال اسلوب تحليل خوارزمية ال K-Means لتشخيص كفاءة الاقتراض الخارجي لعينة البحث البالغة (81) قرضا التي اقترضتها وزارة المالية للفترة 2007-2020 . ولقد كان الغرض الرئيسي للبحث المساهمة في تمكين وزا

Bumpiness in the atmosphere is the vertical movement of air, whether
upward or downward movement and the bumpiness is accompanied by areas
of unrest in the air and wind. And contribute to each of the coups thermal
fronts, wind, wind and thunderstorms. Moreover, bumpiness is net of the
reasons that lead to circumstances is appropriate to cut the wind, and this
contributes to the formation of bumpiness in the atmosphere. The study found
that the noon of the times, which is expected to occur where clear-air
bumpiness during flights because of the warmth of the earth's surface. The
study found increased incidence of air hole during the summer, especially
July, due to increased incidence of coup surface, while the s

The real estate prices in the Iraqi market have witnessed a significant increase in the prices of residential units, including land plots and residential buildings, especially after the approval of the new exchange rate and the provision of financial loans to employees and citizens. Therefore, real estate loans are considered one of the financing tools in the housing sector, whether these loans are directed towards the construction of new housing or the rehabilitation of existing buildings for housing. The housing market is an important component of the economic and social system, as housing is a commodity that is influenced by supply, demand, and the trade of materials involved in housing unit production. The housing system is also

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n Segmented Optical Telescope (NGST) with hexagonal segment of spherical primary mirror can provide a 3 arc minutes field of view. Extremely Large Telescopes (ELT) in the 100m dimension would have such unprecedented scientific effectiveness that their construction would constitute a milestone comparable to that of the invention of the telescope itself and provide a truly revolutionary insight into the universe. The scientific case and the conceptual feasibility of giant filled aperture telescopes was our interested. Investigating the requirements of these imply for possible technical options in the case of a 100m telescope. For this telescope the considerable interest is the correction of the optical aberrations for the coming wavefront, th

Wrong behavioral deviations among youth witnessed an obvious growing, some of these deviations are, robbery, drug and internet addiction, and smoking. Additionally, intellectual extremism and the disrespect of the traditions and genuine customs, In light of this issue, the research aims to shed light on the educational and preventative role of the woman in protecting and immunizing children from the wrong behavioral deviations. The woman has a significant and influential role in the society in general and in her family, in particular to the responsibility lies on her. The research shed light on the manifestations of behavioral deviation in children and the mechanisms of prevention and treatment. The research concluded with a set of recom

    This study carry’s out the correlation and the effect of two main variables, these variables are Job Satisfaction included six sub: wages - salaries and justice and yield, working  conditions    and services, pattern of supervision and the relationship with the manger, Relationship with colleagues, the content of the work and the variety of tasks, development and  promotion  opportunities available  to  an individual,   and Organizational Performance included  two sub variables:  Efficiency, Effectiveness.  This research was conducted using a questioner as a main tool, This questioner was distributed randomly to a research community composed of