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

Thu Oct 01 2020

Journal Name

August

INFLUENCE OF SOME FACTOR ON SOMATIC EMBRYOS INDUCTION AND GERMINATION OF DATE PALM BARHI C.V BY USING CELL SUSPENSION CULTURE TECHNIQUE

Ali . A

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INFLUENCE OF SOME FACTOR ON SOMATIC EMBRYOS INDUCTION AND GERMINATION OF DATE PALM BARHI C.V BY USING CELL SUSPENSION CULTURE TECHNIQUE

Publication Date

Sun Jul 27 2025

Journal Name

Journal Of Baghdad College Of Dentistry

Periodontal health status in relation to physicochemical characteristics of saliva among pre-menopausal and post-menopausal women in Baghdad city-Iraq

Alhan A

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Background: Menopause can bring oral health problems and also associated with significant adverse changes in the orofacial complex. After menopause, women become more susceptible to periodontal disease due to deficiency of estrogen hormone. Current study aimed to evaluate the periodontal health status in relation to salivary constituent including pH, flow rate and some elements (Magnesium, Calcium and inorganic phosphorus) of pre and post-menopause women. Materials and Methods: Periodontal health status of 52 women aged 48-50 years old (26 pre-menopause and 26 post-menopause) were examined including (gingival index, plaque index, calculus index, probing pocket depth and clinical attachment level). Salivary sample was collected for two women

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Publication Date

Tue Jun 23 2020

Journal Name

Annal S Of Tropical Medicine & Public Health

Histological Evaluation of local application of Phyllunthus amarus extracted powder and its combination with fibronectin protein on Wound Healing of rats

Phyllunthus amarus extracted powder

fibronectin protein

cheek wound-healing

local application.

Enas Fadhil

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Background: A wound is defined as a break or damage in the skin, resulting from physical or thermal damage or as a result of the presence of an underlying medical or physical condition. Herbal medicine can be called one of the branches of medicine in various forms.Phyllunthus amarus is a small herb well known for its medicinal properties and widely used worldwide. P. amarus is an important plant of Indian Ayurvedic system of medicine. Fibronectin is a major component of the extracellular matrix. It is secreted by various cells, primarily fibroblasts, as a soluble protein dimer and is then assembled into an insoluble matrix in a complex cell-mediated process. Materials and methods: Forty rats will be subjected for a surgical operation

Publication Date

Sun Mar 01 2020

Journal Name

International Journal Of Pharmaceutical Research

Phytochemical investigation,anti-proliferative and antioxidant- activities of Iraqi Capparisspinosa L. (Family Capparidaceae) against MCF-7 human Breast cancer cell line

Enas Jawad

Sameer Abbood

Zahraa Suhail

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Publication Date

Sun Sep 03 2017

Journal Name

Baghdad Science Journal

Synthesis and Spectroscopic Studies of some Divalent Metall Ion Complexes of 3-(4-hydroxyphenyl)-2-(3-(4-nitrobenzoyl) thioureido) propanoic acid

Tyrosine

Divalent Metal Ion

4-Nitrobenzoyl isothiocyanate

Basima M.

Ban Z.

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(1)

Publication Date

Wed Sep 14 2016

Journal Name

Journal Of Baghdad College Of Dentistry

CorrÐµlation bÐµtwÐµÐµn Dual-Ð•nÐµrgy X-Ray AbsorptiomÐµtry and Panoramic Mandibular IndicÐµs in PrÐµdiction of BonÐµ MinÐµral DÐµnsity in PostmÐµnopausal FÐµmalÐµs

Safa Hasan

Lamia H.

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Background: OstÐµoporosis is a systÐµmic disÐµasÐµ of thÐµ bonÐµ that is charactÐµrizÐµd by rÐµducÐµd bonÐµ mass, which lÐµads to incrÐµasÐµd bonÐµ fragility and fracturÐµparticularly in postmÐµnopausal womÐµn.ThÐµ aims of study was toÐµvaluatÐµ thÐµ rÐµlationship bÐµtwÐµÐµn mandibular radiomorphomÐµtric indicÐµs obtainÐµd on digital panoramic radiographswith thÐµ bonÐµ minÐµral dÐµnsitiÐµs of thÐµ lumbar spinÐµÐµvaluatÐµd using dual-ÐµnÐµrgy X-ray absorptiomÐµtry (DXA) scan, in a population of ostÐµoporotic and non-ostÐµoporotic fÐµmalÐµs. MatÐµrials and mÐµthods: In panoramic imagÐµs obtainÐµd from 60 fÐµmalÐµ individuals dividÐµd Ðµq

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Publication Date

Sun Jun 01 2014

Journal Name

Baghdad Science Journal

Recording callitetrarhynchus gracilis (rudolphi, 1819) and callitetrarhynchus sp. (cestoda: trypanorhyncha) parasitic in tow carangid fishes in north west arab gulf, Iraq

Cestode

Callitetrarhynchus gracilis

Callitetrarhynchus sp.

Trypanorhyncha

carangid fishes

Iraq

Suzan A.

Fatimah H.

Khalidah S.

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Recording two species of larval cestodes Callitetrarhynchus gracilis and Callitetrarhynchus sp. (Cestoda: Trypanorhyncha) parasitic in body cavity of two carangid fishes (Carangoides malabaricus and Megalaspis cordyla) from north west Arab Gulf, Iraq, is described. The species Callitetrarhynchus sp. was recorded for the first time in Iraq in carangid fishes. Also, two fish species (C. malabaricus and M. cordyla) are considered as new hosts for C. gracilis and Callitetrarhynchus sp. in the Arab Gulf. The cestodes were sent to Prof. Dr. Harry W. Palm, Department of Fisheries Biology, Institute Zoo Morphology, Germany for confirmation of the identification.

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Publication Date

Sat Jun 15 2019

Journal Name

Journal Of Baghdad College Of Dentistry

Impact of Brix 3000 and conventional restorative treatment on pain reaction during caries removal among group of children in Baghdad city

Mafaz M

Aseel H

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Background: Pain and the usage of local anesthetic agents are still real problem in pediatric dentistry, for these reasons, the use of minimal invasive dentistry (MID) in regard to the patient comfort is important especially for children, anxious and uncooperative patients. Chemomechanical caries removal (CMCR) methods involve the selective removal of the carious dentine hence it avoided the painful removal of the sound dentine and the anxiety resulted due to the vibration of the hand piece which is also decreased thus it appears to be more acceptable and comfortable to the patient. Aims of this study: This study was conducted among group of children to assess and compare the anxiety rating scale (during and after treatment) between the

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(14)

Publication Date

Mon Apr 06 2020

Journal Name

August

INFLUENCE OF SOME FACTOR ON SOMATIC EMBRYOS INDUCTION AND GERMINATION OF DATE PALM CV BARHI BY USING CELL SUSPENSION CULTURE TECHNIQUE

This study was done to examine different concentrations of mercuric chloride (Hgcl2) for Explants sterilization and different concentration of NAA) mg/L with 2iP for their effect on initiation primary callus and subsequent embryogenesis in Phoenix dactyliferae cultivar Barhi. Leaf primordial and shoot tips were excised from 2-3 years old offshoot. The result showed that contamination percentage decreased with an increase in concentration of Hgcl2 for two explants where in the control (0.0)% gave highest value 75% and 62.5% of contamination for leaf primordial and shoot tip respectively while the addition (0.1)% gave a significant decrease 37.5 and 0% for explants respectively. The Explants were inoculated onto Murashiege and Skoog

1962 (MS) medium supplemented with 2iP 3mg/L and containing 0

25

50 or 100 mg/L of NAA

the addition (50) mg/L of NAA gave highest value 68.8% in percentage of callus initiation with significant difference from addition 0% gave lowest value (18.8)%

as well Explants of shoot tip gave significant difference was 53.1% while leaf primordial gave 28.1%

Primary callus was transferred to fresh MS medium containing (0

5

10 and 20) mg/L of NAA with 3mg/L 2iP

Results were recorded after 12 weeks. A highest value of embryonic callus induction percentage or fresh weight and dry weight 87.5% or 1.56g and 0.47g for the character respectively for the treat 20 mg/L while control treatment 0.0 gave the lowest value 12.5% or 0.37g and 0.14g for same character respectively. Inoculated 1g fresh biomass into a 250 ml Erlenmeyer flask containing 50 ml MS liquid medium supplemented with NAA 20mg/L and agitated at 150 rpm by shaker to making suspension culture the measurements of packed cell volume ( pcv) or fresh and dry weight taken weekly for 12 weeks

maximum values were reached in the eighth week of PCV and fresh weight but the dry weight reached to highest value in seventh week

then the curve began to decline gradually until it reached stability in the last two weeks. The cell suspension was Diluted to different initial cell density of 100

500

10000

50000 and 100000 cells /ml with hemocytometer. The initial cell number of (10000) cells gave significant different of plating efficiency PE (11.6)% while (100) cells gave lowest value 1.8% of PE.

Ali A.

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Publication Date

Mon Aug 27 2018

Journal Name

International Research Journal Of Pharmacy

PRELIMINARY PHYTOCHEMICAL SCREENIG AND HIGH PERFORMANCE THIN LAYER CHROMATOGRAPHY[HPTLC] DETECTION OF PHENOLIC ACIDS IN LANATA CAMARA LEAVES CULTIVATED IN IRAQ

Noor Sabah

Maha N

Dhuha A

Maryam R

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