Academic literature on the topic 'Twin primes'

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Journal articles on the topic "Twin primes"

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Zhou, Mi. "The twin primes' infinite rule." Advances in Engineering Technology Research 1, no. 1 (2022): 186. http://dx.doi.org/10.56028/aetr.1.1.186.

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In this paper, the rule of infinite twin primes is found. Generally speaking, the superposition of twin primes produces a third pair. A pair of twin primes plus a pair of twin primes produces a third pair, Starting with the third pair of twin prime pairs, for each pair of twin prime pairs, two pairs of twin prime pairs can always be found in the preceding pair, such that their sum is equal to the sum of this pair of twin prime pairs; Or from the second pair of twin primes (an,bn), at least one pair of twin primes can always be found in front of it, such that their sum is equal to the sum of so
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Wong, Bertrand. "The twin primes*." Bulletin of Pure & Applied Sciences- Mathematics and Statistics 40e, no. 1 (2021): 75–86. http://dx.doi.org/10.5958/2320-3226.2021.00008.4.

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Iovane, Gerardo, Patrizia Di Gironimo, Elmo Benedetto, and Vittorio D’Alfonso. "Some Properties and Algorithms for Twin Primes." Applied Sciences 14, no. 17 (2024): 7902. http://dx.doi.org/10.3390/app14177902.

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In this article, we study some new properties of twin primes and algorithms for their generation. We find the necessary conditions to generate a pair of twins. These conditions seem to indicate that the conjecture is true, namely, there are infinitely many twin primes. Furthermore, we developed some algorithms that are very useful from a computer science point of view, which can be applied in cryptography and data encryption.
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MacKinnon, Nick, and Stephen M. Gagola. "Fibonacci Twin Primes: 10844." American Mathematical Monthly 109, no. 1 (2002): 78. http://dx.doi.org/10.2307/2695779.

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Wong, Bertrand. "On the twin primes*." Bulletin of Pure & Applied Sciences- Mathematics and Statistics 40e, no. 2 (2021): 149–54. http://dx.doi.org/10.5958/2320-3226.2021.00021.7.

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Parady, B. K., Joel F. Smith, and Sergio E. Zarantonello. "Largest known twin primes." Mathematics of Computation 55, no. 191 (1990): 381. http://dx.doi.org/10.1090/s0025-5718-1990-1023767-2.

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Indlekofer, Karl-Heinz, and Antal Járai. "Largest known twin primes." Mathematics of Computation 65, no. 213 (1996): 427–29. http://dx.doi.org/10.1090/s0025-5718-96-00666-7.

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Harris, David. "Science visualized: Twin primes." Science News 184, no. 8 (2013): 38. http://dx.doi.org/10.1002/scin.5591840822.

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Segal, Nancy L. "Reared-Apart Chinese Twins: Chance Discovery/Twin-Based Research: Twin Study of Media Use; Twin Relations Over the Life Span; Breast-Feeding Opposite-Sex Twins/Print and Online Media: Twins in Fashion; Second Twin Pair Born to Tennis Star; Twin Primes; Twin Pandas." Twin Research and Human Genetics 20, no. 2 (2017): 180–85. http://dx.doi.org/10.1017/thg.2017.9.

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A January 2017 reunion of 10-year-old reared-apart Chinese twin girls was captured live on ABC's morning talk show Good Morning America, and rebroadcast on their evening news program Nightline. The twins’ similarities and differences, and their participation in ongoing research will be described. This story is followed by reviews of twin research concerning genetic and environmental influences on media use, twin relations across the lifespan and the breast-feeding of opposite-sex twins. Popular interest items include twins in fashion, the second twin pair born to an internationally renowned te
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Gueye, Ibrahima. "Conjecture in Additive Twin Primes Numbers Theory." Bulletin of Society for Mathematical Services and Standards 5 (March 2013): 27–30. http://dx.doi.org/10.18052/www.scipress.com/bsmass.5.27.

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For two millennia, the prime numbers have continued to fascinate mathematicians. Indeed, a conjecture which dates back to this period states that the number of twin primes is infinite. In 1949 Clement showed a theorem on twin primes. For the record, the theorem of Clement has quickly been known to be ineffective in the development of twin primes because of the factorial. This is why I thought ofusing the additive theory of numbers to find pairs of twin primes from the first two pairs of twin primes. What I have formulated as a conjecture. In same time i presentmy idea about the solution of the
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Dissertations / Theses on the topic "Twin primes"

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SMITH, ALAN T. "A TWIN PRIME SIEVE AND A COMBINATORIAL APPROACH TO PROVING THE TWIN PRIMES CONJECTURE." OpenSIUC, 2015. https://opensiuc.lib.siu.edu/theses/1739.

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The Twin Primes Conjecture (TPC) is one of the oldest, unsolved problems in math- ematics. This paper introduces a function which acts as a sieve, eliminating all possible places where twin primes cannot occur in the natural numbers, N. With this function, we, then, analyze its range and form a combinatorial argument to count the number of twin prime pairs.
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Ho, Kwan-hung, and 何君雄. "On the prime twins conjecture and almost-prime k-tuples." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2002. http://hub.hku.hk/bib/B29768421.

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Prival, David Benjamin. "Ecology and conservation of the twin-spotted rattlesnake, Crotalus pricei." Thesis, The University of Arizona, 2000. http://hdl.handle.net/10150/278752.

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Although twin-spotted rattlesnakes (Crotalus pricei ) were first identified more than a century ago, little has been published about the ecology of this species and no information has been available regarding population characteristics. During 1997--99, I captured, measured, and marked 117 C. pricei in the Chiricahua Mountains to address this need for information. Lizards constituted the bulk of C. pricei prey, but their diet also included mammals, birds, and snakes. Mating and parturition were concentrated in August and early September. Movement patterns varied dramatically from year to year,
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Prats, Rodríguez Pilar. "Cribado de aneuploidias de primer trimestre en las gestaciones gemelares." Doctoral thesis, Universitat de Barcelona, 2013. http://hdl.handle.net/10803/291436.

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Esta tesis está basada en dos artículos: Articulo 1: Early first-trimester free-β-hCG and PAPP-A serum distributions in monochorionic and dichorionic twins Objetivo: Examinar la distritución en primer trimestre de los marcadores bioquímicos de aneuploidias en gestaciones gemelares dependiendo de su corionicidad. Métodos: La free-β-human chorionic gonadotropin (hCG) en sangre materna y la pregnancy-associated plasma protein A (PAPP-A) fueron analizadas entre las semanas 8–13 + de gestación como parte del cribado rutinario del primestrimestre en conjunción con la translucencia nucal me
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Books on the topic "Twin primes"

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Hodgson, Mona Gansberg. The princess twins and the birthday party. Zonderkidz, 2012.

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Hodgson, Mona Gansberg. The princess twins and the birthday party. Zondervan, 2009.

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Ahlberg, Allan. The woman who won things. Walker Books, 2012.

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Morey, Trish. Forced Wife, Royal Love Child. Harlequin, 2009.

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Morey, Trish. Forced wife, royal love-child. Harlequin, 2009.

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Morey, Trish. Forced Wife, Royal Love-child. Harlequin, 2009.

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Feist, Raymond E. Prince of the blood. s.n.], 1990.

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Feist, Raymond E. Prince of the blood. Bantam Books, 2004.

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Feist, Raymond E. Prince of the blood. HarperCollins, 1993.

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Pascal, Francine. Happily ever after. Bantam, 1997.

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Book chapters on the topic "Twin primes"

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Ramaré, Olivier. "Twin primes and local models." In Arithmetical Aspects of the Large Sieve Inequality. Hindustan Book Agency, 2009. http://dx.doi.org/10.1007/978-93-86279-40-8_10.

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Kontorovich, Alex V. "A Pseudo Twin Primes Theorem." In Multiple Dirichlet Series, L-functions and Automorphic Forms. Birkhäuser Boston, 2012. http://dx.doi.org/10.1007/978-0-8176-8334-4_12.

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Østergaard, Maria Kirstine, Anna Karlskov Skyggebjerg, and Uffe Thomas Jankvist. "Mr. Frog Challenged by Mathematical Conjectures: Fermat’s Last Theorem and Twin Primes." In Mathematics and Its Connections to the Arts and Sciences (MACAS). Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-10518-0_32.

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Pintz, János. "Are There Arbitrarily Long Arithmetic Progressions In The Sequence of Twin Primes?" In Bolyai Society Mathematical Studies. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-14444-8_15.

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Nguyen, Lan. "Support Bases of Solutions of a Functional Equation Arising From Multiplication of Quantum Integers and the Twin Primes Conjecture." In Additive Number Theory. Springer New York, 2010. http://dx.doi.org/10.1007/978-0-387-68361-4_21.

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Friedlander, John B., and Igor E. Shparlinski. "Elliptic Twin Prime Conjecture." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-01877-0_8.

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Alsubai, Shtwai, and Siobhán North. "TwigStackPrime: A Novel Twig Join Algorithm Based on Prime Numbers." In Lecture Notes in Business Information Processing. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-93527-0_1.

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Barnett, James. "Theming Your Site Part 1: Theme Functions and a Twig Primer." In Drupal 8 for Absolute Beginners. Apress, 2015. http://dx.doi.org/10.1007/978-1-4302-6467-5_12.

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Panov, Vili, and Samuel Cruz-Manzo. "Application of Digital Twin Technology on Simulation and Optimization of Prime Movers in Energy Systems." In Handbook of Smart Energy Systems. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-72322-4_153-1.

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Panov, Vili, and Samuel Cruz-Manzo. "Application of Digital Twin Technology on Simulation and Optimization of Prime Movers in Energy Systems." In Handbook of Smart Energy Systems. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-030-97940-9_153.

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Conference papers on the topic "Twin primes"

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Li, Wenjuan, Lan Bai, and Zhen Wang. "Parameter selection for primal least squares twin support vector regression." In International Conference on Computer Application and Information Security (ICCAIS 2024), edited by Sadiq Ali Safaa, Pandey Hari Mohan, and Boussaid Farid. SPIE, 2025. https://doi.org/10.1117/12.3060815.

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Qin, Jingsheng, Lingjian Ye, Xinmin Zhang, Feifan Shen, Wei Wang, and Longying Mao. "A Twin Primal-Dual DDPG Algorithm for Safety-Constrained Reinforcement Learning." In 2024 China Automation Congress (CAC). IEEE, 2024. https://doi.org/10.1109/cac63892.2024.10864510.

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Konigsberg, Zvi Retchkiman. "Primes and Twin Primes Generator Algorithms." In Multiconference on "Computational Engineering in Systems Applications. IEEE, 2006. http://dx.doi.org/10.1109/cesa.2006.4281839.

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Zuo-ling, Zhou. "A proof of the conjecture on the twin primes." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2015 (ICNAAM 2015). Author(s), 2016. http://dx.doi.org/10.1063/1.4952035.

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Kristyan, Sandor. "Note on the cardinality difference between primes and twin primes and its impact on function x/ln(x) in prime number theorem." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017). Author(s), 2018. http://dx.doi.org/10.1063/1.5044134.

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Ren, Wei. "A Symmetric Uniform Formula and Sole Index Method for Sieving (Twin) Primes." In 2020 IEEE 19th International Conference on Trust, Security and Privacy in Computing and Communications (TrustCom). IEEE, 2020. http://dx.doi.org/10.1109/trustcom50675.2020.00220.

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Jurković, Irena. "DAVID LYNCH’S MONOLOGUES: DISRUPTION OF NETWORK TELEVISION NORMS." In Proceeding of the Thirteenth International Conference at the Faculty of Foreign Languages. Alfa BK University Belgrade, 2024. https://doi.org/10.46793/lld24.176j.

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The paper examines David Lynch’s television series Twin Peaks (1990–1991) and its profound influence on the US television landscape, particularly during the transition to multi-channel broadcasting and the emergence of “Quality TV”. Rather than conforming to the existing aesthetic and production norms associated with prime-time American television, Lynch developed a series that reflected his auteur vision and challenged the perception of television as a commercial medium. Instead of observing Twin Peaks as a singular occurrence, this paper observes the series’ innovative narrative strategies i
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Ranade, Mukund, R. Balu, P. Babu, and M. Nataraj. "Development of Advanced amd Customized Absorption Chillers From Indian Industry." In ASME 2006 International Mechanical Engineering Congress and Exposition. ASMEDC, 2006. http://dx.doi.org/10.1115/imece2006-13662.

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Indian absorption industry started customizing chillers first based on material or electrical requirements, like chillers for hazardous areas or using materials such as titanium, cupronickel, stainless steel, cladded plates etc. However, as knowledge about chiller technology has improved, many cycle variations have been designed and fabricated to suit customer requirements. This is commercially possible due to lower technical manpower costs in India. Such efforts have resulted in over 20 % market share of absorption chillers in spite of unfavorable fuel prices (higher gas and oil prices than e
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Goldmeer, Jeffrey, William York, and Paul Glaser. "Fuel and Combustion System Capabilities of GE’s F and HA Class Gas Turbines." In ASME Turbo Expo 2017: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/gt2017-64588.

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The world is currently undergoing a shift in the power industry with an increase in the amount of electrical power being generated from natural gas. This is being driven, in part, by the increase in availability of natural gas derived from shale gas and the reduction in global natural gas prices. In parallel, there is a second trend; a shift of new gas turbines installations to higher efficiency F and HA-class gas turbine combined cycle platforms. Supporting these industry trends, GE’s DLN 2.6+ combustion system, which is available for the 7F, 9F, 7HA, and 9HA gas turbines offers a high degree
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Alsubai, Shtwai, and Siobhán North. "A Prime Number Approach to Matching an XML Twig Pattern including Parent-Child Edges." In 13th International Conference on Web Information Systems and Technologies. SCITEPRESS - Science and Technology Publications, 2017. http://dx.doi.org/10.5220/0006225602040211.

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Reports on the topic "Twin primes"

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Brueckner, Marcus, Gabriele Ciminelli, and Norman Loaza. External Shocks and Labor Market Reforms in Autocracies and Democracies: Evidence from Oil Price Windfalls. Asian Development Bank, 2024. http://dx.doi.org/10.22617/wps240528-2.

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This paper explores how oil price windfalls impact labor market regulation across 83 countries from 1970 to 2014. Findings reveal that windfall gains lead to deregulation in autocracies but not democracies, while windfall losses trigger deregulation in democracies. The paper examines how democracies use windfall gains to boost spending, whereas autocracies may focus on rent extraction and increasing economic efficiency. Deregulation in democracies during losses aligns with the crisis-induced reform hypothesis, linked to twin deficits and heightened banking crisis risks.
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Kren, Janez, Cynthia O’Regan, Conor O'Toole, Luke Rehill, and Alice Smith. SME investment report 2024: Developments between 2016 and 2023. ESRI, 2025. https://doi.org/10.26504/sustat129.

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Despite a robust domestic economic performance, over the past number of years, the Irish enterprise sector has been hit with a series of external shocks. From Brexit to the COVID-19 pandemic and then the external inflationary shocks following the energy price crisis, enterprises have faced challenges that have put pressure on their sustainability in day-to-day operations and heightened uncertainty around their commitment to capital investment. Yet long-term investment is critical to enhance productivity and drive profitability going forward. Over and above these external shocks, firms are grap
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