Number theorists believe that primes play a central role in Number theory and that solving problems related to primes could lead to the resolution of many other unsolved conjectures, including the prime k-tuples conjecture. This paper aims to demonstrate the existence of this conjecture for admissible k-tuples in a positive proportion. The authors achieved this by refining the methods of “Goldston, Pintz and Yildirim” and “James Maynard” for studying bounded gaps between primes and prime k-tuples. These refinements enabled to overcome the previous limitations and restrictions and to show that for a positive proportion of admissible k-tuples, there is the existence of the prime k-tuples conjecture holding for each “k”. The sig

The unresolved COVID‐19 pandemic considerably impacts the health services in Iraq and worldwide. Consecutive waves of mutated virus increased virus spread and further constrained health systems. Although molecular identification of the virus by polymerase chain reaction is the only recommended method in diagnosing COVID‐19 infection, radiological, biochemical, and hematological studies are substantially important in risk stratification, patient follow‐up, and outcome prediction.

The antibacterial activity of Capparis spinosa L. extracts obtained from Baghdad was evaluated against six clinical bacteria isolates of Helicobacter pylori. The results presented in this work demonstrated that the leaves extract showed a significant effect against bacteria as compared to the root and fruit extracts at 100 mg/ml concentration, with inhibition zone ranging from 12.0 to 30.7 mm in each bacteria strain. The end results of GC-MS analysis indicated that the ethanol extracts of caper have a lot of active chemical compounds, including twenty-five, eighty-two and sixty-eight phytoconstituent compounds, that are distinguished in the extracts of roots, leaves and fruits with C. spinosa L. respectively. I

Controlling cost in construction projects is an essential issue. This study investigates the most critical problems that cause weakness in cost control in Iraqi construction projects. The quantitative technique was used by conducting a survey directed to professionals who work on construction projects. One hundred and sixty-four questionnaire forms were distributed to private sector companies, government companies, and government institutions, and the responses were subjected to the required statistical analysis. The results indicate that the most influential factors are the weakness in keeping up with the use of modern concepts, methods, and technologies, the delay in receiving the amounts due for work done from the owner, fluctuat

This study evaluated the toxicity of ciprofloxacin to spleen and liver when used for the treatment of mice infected with S. typhi for seven days. The dose concentration used in these experiments was 100mg/kg. Mice were divided into two groups . The first group (negative control) was not given ciprofloxacin, but rather a sterile phosphate buffer solution (PBS) as an alternative. Ciprofloxacin was administered to the second group. After seven days , the animals were sacrificed and organs (liver and spleen) were collected . The histopathological examination showed normal hepatocytes in the liver  and normal structure of  spleen cells in animals of control group . However, the treated group showed dilated and congested blo