COMPARATIVE STUDY BETWEEN A NOVEL DETERMINISTIC TEST FOR MERSENNE PRIMES AND THE WELL-KNOWN PRIMALITY TESTS

Yahia Awad; Ramiz Hindi; Haissam Chehade

doi:10.21123/bsj.2023.7791

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Publication Date

Sat Oct 28 2023

Journal Name

Baghdad Science Journal

Volume

20

Issue Number

5(Suppl.)

DOI

10.21123/bsj.2023.7791

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COMPARATIVE STUDY BETWEEN A NOVEL DETERMINISTIC TEST FOR MERSENNE PRIMES AND THE WELL-KNOWN PRIMALITY TESTS

Deterministic test

Mersenne numbers

Primality test

Probabilistic test

Proth numbers.

Yahia Awad

Ramiz Hindi

Haissam Chehade

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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.

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Publication Date

Tue Dec 31 2024

Journal Name

Journal Of Emergency Medicine, Trauma And Acute Care

Histological variety analysis for pleomorphic adenoma in salivary glands: Retrospective study

histopathological features

pleomorphic adenomas

salivary gland neoplasms

Zinah A.

Ban

Lina Ibtesam

...Show More Authors

Pleomorphic adenoma (PA) is the most frequent benign epithelial neoplasm of salivary glands, displaying a remarkable degree of morphological variety. The aim of the study is to illustrate the clinicopathological characteristics of PA with particular emphases on epithelial cell morphology and mesenchymal elements. Materials and Methods: A total of 132 PA collected between 2002 and 2017 were recruited from Al Shahid Ghazi Al Hariri Hospital and the Department of Oral Pathology, College of Dentistry, Baghdad University, Baghdad, Iraq, and analyzed for their demographic and histopathological features. All data were analyzed using descriptive statistics. A slightly higher incidence of PA was detected in females (52.3%) compared to male subject

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Publication Date

Mon Jan 01 2024

Journal Name

Anais Da Academia Brasileira De Ciências

Morphological study for Accipitrid birds (Accipitridforms, Accipitridae) in Iraq; part two

A part two of Accipitridae Family members that belong to three genera: Circus

Gyps

and Neophron were documented as morphometrics

distribution ranges

and conservation status were reviewed and comprehensively discussed. A total of 29 voucher specimens belong to six species which are conserved in the “Iraq Natural History Research Center and Museum INHM” as follow: Marsh Harrier Circus aeruginosus (Linnaeus

1758)

Hen Harrier Circus cyaneus (Linnaeus

1766)

Montagus Harrier Circus pygargus (Linnaeus

1758)

Pallid Harrier Circus macrourus (Gmelin

1770)

Egyptian vulture Neophron percnopterus (Linnaeus

1758)

and Griffon vulture Gyps fulfus (Hablitz

1783). The results revealed significant criteria about near threatened NT species IUCN and Birdlife International listed as Pallid Harrier Circus macrourus

and Endangered (EN) species as Egyptian vulture Neophron percnopterus globally decreasing population trend.

HIND D.

KHALIDA I.

AFKAR M.

SUHAD Y.

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Publication Date

Tue Jan 01 2019

Journal Name

Advances In Informatics And Computing In Civil And Construction Engineering: Proceedings Of The 35th Cib W78 2018 Conference: It In Design, Construction, And Management

Technology alternatives for workplace safety risk mitigation in construction: Exploratory study

Ali

...Show More Authors

Publication Date

Wed Oct 05 2011

Journal Name

Iraqi Journal Of Physics

Study of linear shrinkage for siliceous materials to meet insulating requirements

Shawkat Ismael Jubair

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Publication Date

Tue Jun 01 2021

Journal Name

Journal Of Engineering

Numerical Study for HAWT Wake shape with different Angles of Attack

Angle of Attack

Wind turbine wake

Mean velocity deficit

Turbulence Intensity

Numerical Simulation

Maytham M.

Hussein Yousif

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Increasing world demand for renewable energy resources as wind energy was one of the goals behind research optimization of energy production from wind farms. Wake is one of the important phenomena in this field. This paper focuses on understanding the effect of angle of attack (α) on wake characteristics behind single horizontal axis wind turbines (HAWT). This was done by design three rotors different from each other in value of α used in the rotor design process. Values of α were (4.8˚,9.5˚,19˚). The numerical simulations were conducted using Ansys Workbench 19- Fluent code; the used turbulence model was (k-ω SST). The results showed that best value for extracted wind energy was at α=19˚, spread distance of wak

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(1)

Publication Date

Thu Aug 30 2018

Journal Name

Journal Of Engineering

Mass Transfer Study for Bio-Synergy in Dairy Wastewater Treatment Plant

Bioreactor

mass transfer

microalgae

aerobic bacteria

Basma Abbas

Arwa Raad

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The present study addresses the behavior of gases in cultivation media as an essential factor to develop the relationship between the microorganisms that are present in the same environment. This relationship was explained via mass transfer of those gases to be a reasonable driving force in changing biological trends. Stripping and dissolution of oxygen and carbon dioxide in water and dairy wastewater were investigated in this study. Bubble column bioreactor under thermal control system was constructed and used for these processes. The experimental results showed that the removal of gases from the culture media requires more time than the dissolution. For example, the volumetric mass transfer coefficient for the removal

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(2)

Publication Date

Sun Dec 01 2019

Journal Name

Journal Of Accounting And Financial Studies ( Jafs )

Cost technique based on ABCII specifications and its effect in the Implementation of contracting contracts: Applied research in Al-Mansour general company for construction contracting

سهام عبد علي

ثائر صبري

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The problem of research was to identify after the use of cost technology based on specifications in the validity of determining and measuring the costs of the implementation of contracting, by applying to al-Mansour General Construction Contracting Company as an appropriate alternative to the traditional costing system currently adopted, which is characterized by many shortcomings and weaknesses Which has been reflected in the validity and integrity of the calculations. To solve this problem, the research was based on the premise that: (The application of cost technology based on specifications will result in calculating the cost of the product according to the specification required by the customer, to meet his wishes properly and witho

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Publication Date

Sun Dec 04 2016

Journal Name

Baghdad Science Journal

A study of anti fungal activity of a combination of essential oils from medical herbs against water molds

"Combination of essential oils

Water molds

HPLC

MIC

MFC

LD50."

Rana Hadi Hameed

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The aim of this study is to evaluate the anti fungal activity of a combination of essential oils against water molds. HPLC analysis was done to evaluate the quantity and quality of the active compounds in this combination which extracted from three herbs( Peppermint Menthapiperita ,Thyme Thymusvulgaris, Common sage Salvia officinalis L.) and the active compounds are Camphor,Menthol,,Thujone and Thymol with different concentrations. In this study (MIC) , (MFC) were measured and (LD50) determined after 48,96 h from fingerlings treatment of common carp in aquariums .The results of (MIC) were 0.025µl/ml for Aphanomyces sp. and 0.015µl/ml for both Achlya sp. and Fusariumsolani which showed significant differences(p<0.05) from Malachite gre

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Publication Date

Fri Mar 15 2024

Journal Name

Journal Of Baghdad College Of Dentistry

A clinicopathological analysis of 151 odontogenic tumors based on new WHO classification 2022: A retrospective cross-sectional study

Al-Qazzaz H.H.

Bashar Hamid

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Background: Odontogenic tumors are a diverse group of lesions with a variety of clinical behavior and histopathologic subtypes, from hamartomatous and benign to malignant. The study aimed to examine the clinical and pathological features of odontogenic tumors in Baghdad over the last 11 years (2011–2021). Materials and Methods: The present retrospective study analyzed all formalin-fixed, paraffin-embedded tissue blocks of patients diagnosed with an odontogenic tumor that were retrieved from archives at a teaching hospital/College of Dentistry in Baghdad University, Iraq, between 2011 and 2021. The diagnosis of each case was confirmed by examining the hematoxylin and eosin stained sections by two expert pathologists. Data from pati

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Publication Date

Tue Jun 01 2021

Journal Name

Swarm And Evolutionary Computation

A review of heuristics and metaheuristics for community detection in complex networks: Current usage, emerging development and future directions

Bara'a Ali

Amenah D.

Ammar A.

Clara

Mayyadah

Suat

Rawaa Dawoud

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