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

Sun Aug 06 2017

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

Reproductive Biology of Common Carp(Cyprinus carpio L. ) from AL-Gharraf Canal , at Wasit Province â€“Iraq.I. Sex-Ratio and Maturity

A. A.

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From September 2002 to August 2003 monthly samples of fish were collected from two stations at the area of study. The results of the present study showed that the sex-ratio (male: female) was 1:0.95. Sexual maturity was reached by all fishes above 28 cm in total length , the smallest mature male was 21.3 cm in total length and body weight 164 gm. While the smallest mature female was 21.5 cm in T.L. and body weight 155 gm. The mature male and female were in the second year of their ages. The breeding season extended from the end of February until the end of June and another season started from Se

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Publication Date

Wed Apr 19 2017

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

Synthesis and Spectral Studies of Some Metal Complexes with Bis[O,O-2,3;O,O-5,6(Chlorocarboxylic Methyliden)] L-Ascorbic Acid

Synthesis

L-ascorbic acid

Complexes

Analysis

Salah M.

Fallih H.

Huda A.

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The reaction of L-ascorbic acid with the tirchloroacetic acid in the presence of potassium hydroxide gave new product Bis[O,O-2,3;O,O-5,6(chlorocarboxylicmethyliden)]Lascorbic acid (H2L) which was isolated and characterized by 1H,13C-NMR, elemental analysis (C,H,N), UV-Visible and Fourier Transform Infrared (FTIR). The complexes of the ligand (H2L) with metal ions, M+2= (Cu, Co, Ni, Cd and Hg) were synthesized and characterized by FTIR, UV-Visible, molar conductance, atomic absorption, magnetic susceptibility and the molar ratio. The analysis evidence showed the binding of the metal ions with (H2L) through the bicarboxylato group manner resulting in six-coordinated metal ion. The TLC for (H2L) and complexes showed one spot for each

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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 Apr 23 2018

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

Determination of IntegrinÎ±2 (ITGA2), Progesterone, Prolactin, Estradiol, Zinc and Vitamin C in Serum of Female Iraqi Patients with Breast Cancer

breast cancer

integrinÎ±2

progesterone

prolactin

Estradiol

zinc vitamin C

Hazima Mossa

Asmaa M. Salih

Amenah Ali

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Back ground: Cancer is the second leading cause of death throughout the world. Breast cancer, is one of the leading mortality reasons in women from Western Countries, in Iraq, breast cancer is the second reason of death After cardiovascular Diseases.

Material and method:

The study was carried out of period from October/2016-january /2017 and included (90) serum samples for Iraqi women suffered from breast cancer . Samples were divided into two groups ,the first group included (66) patients (females) their age rang (22-55) years which attended to (tumor unit) at medical city educational oncology hospital and Al-Amal Al-Waatanii hospital in Baghdad ,the second group included (38) for

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(2)

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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(3)

Publication Date

Mon Apr 22 2019

Journal Name

Spe

Evaluation of Gas and Downhole Water Sink-Assisted Gravity Drainage GDWS-AGD Process in Saturated Oil Reservoirs with Infinite-Acting Aquifer

GDWS-AGD

GAGD

Gravity Drainage

Gas and Downhole Water Sink

Dahlia A.

Watheq J

Andrew K

Mohammed S

Dayanand

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Abstract<p>A hybrid Gas-Enhanced and Downhole Water Sink-Assisted Gravity Drainage (GDWS-AGD) process has been suggested to enhance oil recovery by placing vertical injectors for CO2 at the top of the reservoir with a series of horizontal oil-producing and water-drainage wells located above and below the oil-water contact, respectively. The injected gas builds a gas cap that drives the oil to the (upper) oil-producing wells while the bottom water-drainage wells control water cresting. The hybrid process of GDWS-AGD process has been first developed and tested in vertical wells to minimize water cut in reservoirs with bottom water drive and strong water coning tendencies. The wells were dual-compl</p> ... Show More

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(3)

Publication Date

Sun Sep 06 2015

Journal Name

Baghdad Science Journal

Measurement of radon gas concentration in water and soil samples in AL-Najaf governorate by using nuclear track detector (CR-39)

Radon concentration

Soil

Radon exhalation rate

CR-39 nuclear track detector

Taghreed K.

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The radon gas concentration in environmental samples soil and water of selected regions in Al-Najaf governorate was measured by using alpha-emitters registrations which are emitted form radon gas in (CR-39) nuclear track detector. The first part is concerned with the determination of radon gas concentration in soil samples, results of measurements indicate that the highest average radon concentration in soil samples was found in (Al-Moalmen) region which was (100.0±7.0 Bq/m3), while the lowest average radon concentration was found in (Al-Askary) region which was (38.5±4.7 Bq/m3), with an average value of (64.23±14.9 Bq/m3) ,the results show that the radon gas concentrations in soil is below the allowed limit from (ICRP) agency which is (

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(1)

Publication Date

Thu Mar 25 2021

Journal Name

Dental Materials Journal

Mechanical and thermal stress evaluation of PEEK prefabricated post with different head design in endodontically treated tooth: 3D-finite element analysis

Rawa Omar

Abdulsalam Rashid

Laith Abed

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(26)

Publication Date

Fri Jan 20 2023

Journal Name

Bionatura

Impact of inflammatory markers, dread diseases and cycle threshold (Ct) Values in COVID-19 progression. Revis Bionatura 2023; 8 (1) 33

Hula Y.

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Publication Date

Wed Jan 20 2021

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

Hall and Joule's heating Influences on Peristaltic Transport of Bingham plastic Fluid with Variable Viscosity in an Inclined Tapered Asymmetric Channel

Heat Transfer

Hall Effect

Joule's Heating

Bingham plastic Fluid

Tapered Channel.

Rasha

Hayat

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This paper presents an investigation of peristaltic flow of Bingham plastic fluid in an inclined tapered asymmetric channel with variable viscosity. Taken into consideration Hall current, velocity, thermal slip conditions, Energy equation is modeled by taking Joule heating effect into consideration and by holding assumption of long wavelength and low Reynolds number approximation these equations simplified into couple of non-linear ordinary differential equations that solved using perturbation technique. Graphical analysis has been involved for various flow parameters emerging in the problem. We observed two opposite behaviors for Hall parameter and Hartman number on velocity axial and temperature curves.

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