Recoletos Multidisciplinary Research Journal https://rmrj.usjr.edu.ph/index.php/RMRJ <p>The Recoletos Multidisciplinary Research Journal (RMRJ) is the official bi-annual journal of the University of San Jose-Recoletos (USJ-R) Center for Policy, Research, and Development Studies (CPRDS).&nbsp; Being an <strong><em>internationally peer reviewed journal</em></strong>, RMRJ adopts the double-blind review process wherein&nbsp; the reviewer/s and the author/s do not know each other’s identity.</p> <p><strong>&nbsp;</strong><strong>Aims</strong></p> <p>RMRJ is dedicated to the promotion of knowledge through high quality research publication in various disciplines. It adheres to the policy that all articles contained therein must meet the rigors of an independent double-blind peer-reviewing system and editing to ensure that the publication possesses scientific and academic merit.</p> <p><strong>Scope</strong></p> <p>RMRJ welcomes submission of quality researches in any of the following academic domains:</p> <ul> <li class="show">Accountancy, Business and Management, and Finance;</li> <li class="show">Communication, Humanities, Psychology, and Religion;</li> <li class="show">Education and Educational Management;</li> <li class="show">Engineering, Mathematics, Statistics, and Technology;</li> <li class="show">Environment, Health &nbsp;and Natural Sciences;</li> <li class="show">Philosophical and Mathematical Reviews; and</li> <li class="show">Politics and Governance, and Social Sciences.</li> </ul> University of San Jose-Recoletos en-US Recoletos Multidisciplinary Research Journal 2423-1398 <p>Copyright of the Journal belongs to the <a href="http://www.usjr.edu.ph">University of San Jose-Recoletos</a></p> An Analytic Approximation to the Density of Twin Primes https://rmrj.usjr.edu.ph/index.php/RMRJ/article/view/532 <p>The highly irregular and rough fluctuations of the twin primes below or equal to a positive integer <em>x </em>&nbsp;&nbsp; &nbsp;are considered in this study. The occurrence of a twin prime on an interval [0,x] is assumed to be random. In particular, we considered the waiting time between arrivals of twin primes as approximated by a geometric distribution which possesses the discrete memory-less property. For large n, the geometric distribution is well-approximated by the exponential distribution. The number of twin primes less or equal to x will then follow the Poisson distribution with the same rate parameter as the exponential distribution. The results are compared with the Hardy-Littlewood conjecture on the frequency of twin primes. We successfully demonstrated that for large n, the proposed model is superior to the H-L conjecture in predicting the frequency of twin primes.</p> Dionisel Y Regalado Rodel Azura ##submission.copyrightStatement## 2019-01-10 2019-01-10 6 2 10.32871/rmrj1806.02.05