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.

The marketing of banking service is considered to be one of the impotent fields which showed a universal inebriates . He research showed the comparison between the application of marketing in ideas and application for loot government and private Iraqi bank. The research comets of four parts; Mythology / the concept and the importance of Banking Marketing / Research applichlion/ Conelnion and  recommendation.

methodology six sigma Help  to reduce defects by solving problems effectively, and works Lean to reduce losses through the flow of the manufacturing process and when integrating these two methodologies (Lean and six sigma), the methodology of Lean six sigma will form the entrance to the organizers of the optimization process and increase the quality and reduce lead times and costs . by focusing on the needs of the customer. this process uses statistical tools and techniques to analyze and improve processes.

 We have conducted this research in the General Company for Electrical Industries and adopted its product (machine cooling water three taps) as a sample for research. In order to determine t

This research is based on the idea of showing the extent to which the public relies on satellite channels as sources for news of the demonstrations in Iraq .This was the essence of the problem for which the researcher set several goals, including knowing the public’s confidence in the news of these satellite channels and comparing them with others. The researcher chose an available intended sample of (117) respondents in Baghdad - Karkh and Rusafa by adopting the survey method and applying a questionnaire form and the theory of media dependence for the period from 15/11/2019 to 1/1/2021 . By using statistical methods, the researcher reached many results, the most important of which are: Satellite channels are a source for 79% of the pu

The study tagged ( the intellectual implications of the realistic Fine works of art) is a scientific effort to detect modest intellectual and artistic dimensions of the artwork realistic plastic , through some selected artistic productions of the painted work of art of the Iranian artist Ayman al - Maliki , with the result that the researcher collects materials to serve the scientific research topic which comes in three chapters.
First chapter included the general framework of the research (the promise of the research problem and its significance, objectives and limits and some of the terms contained therein).
Second chapter of this research was specified to the theoretical framework which included some of the topics that are dire

أفرزت الظروف الاقتصادية والاجتماعية التي عانى منها الاقتصاد العراقي العديد من الاثار السلبية وتكريس بيئة من شانها التشجيع على اقامة مشاريع صناعية وخدمية لا تتناسب وتغيرات السوق وتعتمد على آلات ومعدات بسيطة وتشتمل أعمال حرفية يدوية الصنع وبائعي التجزئة ومختلف انواع الورش والمصانع والمعامل غير المرخص لها وغير المجازة قانونا، حيث أنتشار المشروعات بشكل عشوائي غير م

تطوير الاداء الاداري لرؤساء الاقسا العممية في جامعة واتسط في ضوء وظائفيا الادارية د ا رسة ميدانية ىدفت تطوير الاداء الاداري لرؤساء الاقسا العممية في جامعة واسط في ضوء وظائفيا الادارية وت بناء استبانة تكونت 410 وعمى مجموعة مف الخب ا رء مف عمداء ومعاونيف :/ مف = 8 فقرة اذ ت تطبيقيا خلاؿ العا الد ا رسي 4109 اساتذة ورؤساء اقسا باستخدا اسموب دلفي بواقع جولتيف وباعتماد نسبة اتفاؽ 1<% وكاف عددى 81 خبي ا رً وتوصمت الد ا رسة الى

The research aimed to study the political discourse in the drawings of Faisal Laibi, where it shed light on the discourse in the plastic field - concepts and applications, as well as the representations of discourse in the modern and contemporary plastic field, and to study the experience of Faisal Laibi and the uniqueness of his style in artistic performance. The site has collected more than (210 works) whose sources varied between the artist's website himself on the social network, the Internet, and the published paper publications. The researcher conducted an analysis of some of the drawings to achieve the research objectives. Among the most important results he reached:
1. The political discourse of Faisal Laibi is to direct these

The chemical composition of wastes of pressed grapes and found that the main components of wastes of pressed grapes, represented by the percentage of moisture was 6.47%, and the proportions are 3.71%. Either carbohydrates amounted to 85.77 %, either in fat models using petroleum ether Petroleum ether) was the increase of 0.27%. estimated the percentage of ash in the sampls was 3.78%, either fiber reached 69.47 %,, in addition to the test extracts towards the growth of seven types of bacteria, which included Bacillus subtilis, Bacillus cereus, Bacillus stearothermophilus, Escherishia coli, Staphylococcus aureus, Salmonella typhimurium and Pseudomonas fluorescens and yeast Candida albicans and Kluyveromyces marxianus, ( diffusion method ).