5
![Illustration by [[Leonardo da Vinci](https://upload.wikimedia.org/wikipedia/commons/f/f4/De_divina_proportione_-_Illustration_13%2C_crop.jpg)
5 (five) is a number, numeral and digit. It is the natural number, and cardinal number, following 4 and preceding 6, and is a prime number.
Five is the third-smallest prime number, equal to the sum of the only consecutive positive integers to also be prime numbers (2 + 3). In integer sequences, five is also the second Fermat prime, and the third Mersenne prime exponent, as well as the fourth or fifth Fibonacci number; 5 is the first congruent number, as well as the length of the hypotenuse of the smallest integer-sided right triangle, making part of the smallest Pythagorean triple (3, 4, 5).
In geometry, the regular five-sided pentagon is the first regular polygon that does not tile the plane with copies of itself, and it is the largest face that any of the five regular three-dimensional regular Platonic solid can have, as represented in the regular dodecahedron. For curves, a conic is determined using five points in the same way that two points are needed to determine a line.
In abstract algebra and the classification of finite simple groups, five is the count of exceptional Lie groups as well as the number of Mathieu groups that are sporadic groups. Five is also, more elementarily, the number of properties that are used to distinguish between the four fundamental number systems used in mathematics, which are rooted in the real numbers.
Historically, 5 has garnered attention throughout history in part because distal extremities in humans typically contain five digits. Provided by Wikipedia
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161by Casado, Mathieu, Landais, Amaelle, Picard, Ghislain, Arnaud, Laurent, Dreossi, Giuliano, Stenni, Barbara, Prié, Frederic, Landais, Amaelle; 1 Laboratoire des Sciences du Climat et de l'Environnement, LSCE/IPSL, CEA‐CNRS‐UVSQ, Université Paris‐Saclay Gif sur Yvette France, Picard, Ghislain; 4 Institut des Geosciences de l'Environnement (IGE) Université Grenoble Alpes / CNRS, UMR 5001 Grenoble France, Arnaud, Laurent; 4 Institut des Geosciences de l'Environnement (IGE) Université Grenoble Alpes / CNRS, UMR 5001 Grenoble France, Dreossi, Giuliano; 5 Institute of Polar Sciences Consiglio Nazionale delle Ricerche Mestre‐Venezia Italy, Stenni, Barbara; 6 Dipartimento di Scienze Ambientali, Informatica e Statistica DAIS Ca'Foscari University of Venice Mestre‐Venezia Italy, Prié, Frederic; 1 Laboratoire des Sciences du Climat et de l'Environnement, LSCE/IPSL, CEA‐CNRS‐UVSQ, Université Paris‐Saclay Gif sur Yvette FranceGet access
Published in Geophysical Research Letters (2021)
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162by Wohltmann, I., von der Gathen, P., Lehmann, R., Deckelmann, H., Manney, G. L., Davies, J., Tarasick, D., Jepsen, N., Kivi, R., Lyall, N., Rex, M., von der Gathen, P.; 1 Alfred Wegener Institute for Polar and Marine Research Potsdam Germany, Lehmann, R.; 1 Alfred Wegener Institute for Polar and Marine Research Potsdam Germany, Deckelmann, H.; 1 Alfred Wegener Institute for Polar and Marine Research Potsdam Germany, Manney, G. L.; 2 NorthWest Research Associates Socorro NM USA, Davies, J.; 4 Air Quality Research Division Environment and Climate Change Canada Downsview ON Canada, Tarasick, D.; 4 Air Quality Research Division Environment and Climate Change Canada Downsview ON Canada, Jepsen, N.; 5 Danish Meteorological Institute Copenhagen Denmark, Kivi, R.; 6 Space and Earth Observation Center Finnish Meteorological Institute Sodankylä Finland, Lyall, N.; 7 UK Met Office Lerwick Observatory Lerwick UK, Rex, M.; 1 Alfred Wegener Institute for Polar and Marine Research Potsdam GermanyGet access
Published in Journal of Geophysical Research: Atmospheres (2021)
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163by An, ZS (An, Zhisheng) 1,2, Colman, SM (Colman, Steven M.) 3,4, Zhou, WJ (Zhou, Weijian) 1, Li, XQ (Li, Xiaoqiang) 1, Brown, ET (Brown, Eric T.) 3,4, Jull, AJT (Jull, A. J. Timothy) 5, Cai, YJ (Cai, Yanjun) 1, Huang, YS (Huang, Yongsong) 6, Lu, XF (Lu, Xuefeng) 1, Chang, H (Chang, Hong) 1, Song, YG (Song, Yougui) 1, Sun, YB (Sun, Youbin) 1, Xu, H (Xu, Hai) 1, Liu, WG (Liu, Weiguo) 1, Jin, ZD (Jin, Zhangdong) 1, Liu, XD (Liu, Xiaodong) 1, Cheng, P (Cheng, Peng) 1, Liu, Y (Liu, Yu) 1, Ai, L (Ai, Li) 1, Li, XZ (Li, Xiangzhong) 1, Liu, XJ (Liu, Xiuju) 3,4, Yan, LB (Yan, Libin) 1, Shi, ZG (Shi, Zhengguo) 1, Wang, XL (Wang, Xulong) 1, Wu, F (Wu, Feng) 1, Qiang, XK (Qiang, Xiaoke) 1, Dong, JB (Dong, Jibao) 1, Lu, FY (Lu, Fengyan) 1, Xu, XW (Xu, Xinwen) 1Get access
Published in Scientific Reports (2012)
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164by Achterberg, Eric P., Steigenberger, Sebastian, Klar, Jessica K., Browning, Thomas J., Marsay, Chris M., Painter, Stuart C., Vieira, Lúcia H., Baker, Alex R., Hamilton, Douglas S., Tanhua, Toste, Moore, C. Mark, Steigenberger, Sebastian; 1 Ocean and Earth Science, National Oceanography Centre Southampton University of Southampton Southampton UK, Klar, Jessica K.; 4 Centre de Formation et de Recherche sur les Environnements Méditerranéens (CEFREM), UMR 5110, Université de Perpignan Via Domitia, CNRS Perpignan France, Browning, Thomas J.; 2 GEOMAR Helmholtz Centre for Ocean Research Kiel Kiel Germany, Marsay, Chris M.; 5 Skidaway Institute of Oceanography University of Georgia Savannah GA USA, Painter, Stuart C.; 3 National Oceanography Centre Southampton UK, Vieira, Lúcia H.; 2 GEOMAR Helmholtz Centre for Ocean Research Kiel Kiel Germany, Baker, Alex R.; 6 School of Environmental Sciences University of East Anglia Norwich UK, Hamilton, Douglas S.; 7 Department of Earth and Atmospheric Science Cornell University Ithaca NY USA, Tanhua, Toste; 2 GEOMAR Helmholtz Centre for Ocean Research Kiel Kiel Germany, Moore, C. Mark; 1 Ocean and Earth Science, National Oceanography Centre Southampton University of Southampton Southampton UKGet access
Published in Global Biogeochemical Cycles (2021)
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165by Francke, Alexander, Lacey, Jack H., Marchegiano, Marta, Wagner, Bernd, Ariztegui, Daniel, Zanchetta, Giovanni, Kusch, Stephanie, Ufer, Kristian, Baneschi, Ilaria, Knödgen, Katharina, Francke, Alexander; 1Department of Earth Science Faculty of Science University of Adelaide North Terrace Adelaide SA 5005 Australia, Lacey, Jack H.; 3National Environmental Isotope Facility British Geological Survey Nicker Hill Keyworth NG12 5GG UK, Marchegiano, Marta; 4Department of Earth Sciences University of Geneva rue des Maraichers 13 1205 Geneva Switzerland, Wagner, Bernd; 6Institute of Geology and Mineralogy University of Cologne Zülpicher Str 50674 Cologne Germany, Ariztegui, Daniel; 7Department of Earth Sciences University of Geneva rue des Maraichers 13 1205 Geneva Switzerland, Zanchetta, Giovanni; 8Department of Earth Science University of Pisa Lungarno Antonio Pacinotti 56126 Pisa Italy, Kusch, Stephanie; 6Institute of Geology and Mineralogy University of Cologne Zülpicher Str 50674 Cologne Germany, Ufer, Kristian; 9Federal Institute for Geosciences and Natural Resources (BGR) Stilleweg 30655 Hannover Germany, Baneschi, Ilaria; 10Institute of Geoscience and Earth Resources – National Research Council of Italy (IGG‐CNR) Via Guiseppe Moruzzi 56126 Pisa Italy, Knödgen, Katharina; 11Institute of Geology and Mineralogy, University of Cologne Zülpicher Str 50674 Cologne GermanyGet access
Published in Boreas (2021)
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166by Estop‐Aragonés, Cristian, Olefeldt, David, Abbott, Benjamin W., Chanton, Jeffrey P., Czimczik, Claudia I., Dean, Joshua F., Egan, Jocelyn E., Gandois, Laure, Garnett, Mark H., Hartley, Iain P., Hoyt, Alison, Lupascu, Massimo, Natali, Susan M., O'Donnell, Jonathan A., Raymond, Peter A., Tanentzap, Andrew J., Tank, Suzanne E., Schuur, Edward A. G., Turetsky, Merritt, Anthony, Katey Walter, 1 Department of Renewable Resources University of Alberta Edmonton Canada, 3 Department of Plant and Wildlife Sciences Brigham Young University Provo UT USA, 4 Department of Earth Ocean and Atmospheric Science Florida State University Tallahassee FL USA, 5 Department of Earth System Science University of California Irvine CA USA, 6 School of Environmental Sciences University of Liverpool Liverpool UK, 7 Department of Earth Sciences Dalhousie University Halifax Canada, 8 Laboratoire Ecologie Fonctionnelle et Environnement Université de Toulouse, CNRS Toulouse France, 9 NEIF Radiocarbon Laboratory, Scottish Enterprise Technology Park, Rankine Avenue East Kilbride UK, 10 Geography, College of Life and Environmental Sciences University of Exeter Exeter UK, 11 Max Planck Institute for Biogeochemistry Jena Germany, 12 Department of Geography National University of Singapore Singapore Singapore, 13 Woodwell Climate Research Center Falmouth MA USA, 14 National Park Service, Arctic Network Anchorage AK USA, 15 Yale School of Forestry and Environmental Studies New Haven CT USA, 16 Ecosystems and Global Change Group, Department of Plant Sciences University of Cambridge Cambridge UK, 17 Department of Biological Sciences University of Alberta Edmonton Canada, 18 Department of Biological Sciences Northern Arizona University Flagstaff AZ USA, 19 Department of Integrative Biology University of Guelph Guelph Canada, 20 Water and Environmental Research Center University of Alaska Fairbanks Fairbanks AK USAGet access
Published in Global Biogeochemical Cycles (2020)
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167by Hall, G. Stanley (Granville Stanley), 1844-1924. Study of anger., Jennings, H.S. (Herbert Spencer), 1868-1947. Psychology of a protozoan., Scripture, E. W. (Edward Wheeler), 1864- . Observations on rhythmic action. 1900., Cooper, Lane, 1875-1959. On the teaching of written composition. 1910., Boucke, Ewald A. (Ewald Augustus), 1871- . Heine im Dienste der "Idee.", Scripture, E. W. (Edward Wheeler), 1864- . Researches in experimental phonetics. 1900., Von Helmholtz-Phelan, Anna Augusta von, 1880-1964. Staging of the court drama to 1595., Sanders, Henry A. (Henry Arthur), 1868-1956. Age and ancient home of the Biblical manuscripts in the Freer Collection. 1909., Dawson, George Ellsworth, 1861-1936. Children's interest in the Bible., Meader, Clarence Linton, 1868- Symmetry in early Christian relief sculpture. 1900., Hempl, George, 1859-1921. Pepper, pickle, and kipper., Hempl, George, 1859-1921. Old English c, cg, & c. 1899., Bagehot, Walter, 1826-1877. Physics and politics., Wells, Chauncey Wetmore, 1872-1933. Tolstoy as a literary artist. 1908., Lessing, Otto Eduard, 1875- Whitman and German critics., Wells, Roger. English-Eskimo and Eskimo-English vocabularies. 1890., Howard, Claud. Dramatic monologue, its origin and development. 1910., Rhyne, Orestes Pearle, 1885. Conjunction plus particle group in English. 1910., Woodward, C. M. (Calvin Milton), 1837-1914. Inter-collegiate and inter-scholastic American football., Geddes, James, 1858- . Educational advantages for American students in France. 1908., Baudouin de Courtenay, Jan Niecisław, 1845-1929. Proekt osnovnykh polozheniĭ dli͡a rieshenii͡a pol'skago voprosa. 1906., Thorpe, Merle Harrold, 1879- . Can the university teach journalism? 1909., Schurz, Carl, 1829-1906. Rede von Carl Schurz, gehalten am 5. September 1896 in Chicago., Scott, Fred Newton, 1860-1931. Principles of style. 1890., Cary, Edward, 1840-1917. Journalism and international affairs. 1909., De Forest, J. H. (John Hyde), 1844-1911. American ignorance of Oriental languages., Thompson, S. Millett, 1838-1911. Clear type. 1907., Scott, Fred Newton, 1860-1931., National Education Association of the United States. Department of Superintendence. Special report of the Committee of the Department of Superintendence on a universal system of key notation. 1910., University of Michigan. Publications by members of the Faculty of the University of Michigan from January 1, 1906 to June 30, 1907., Societas Rugbiana Colloquii Latini Graecique. Do you speek Greek? 1894., University of Illinois. College of Engineering. Summer reading. 1907., University of Michigan. Dept. of English. Instructions to students in Rhetoric I.Get access
Published 1890
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168by Pattyn, FrankContributors: “...5th International Symposium on Antarctic Glaciology (5: 5-10 September 1993: Cambridge, United...”
Published 1993
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169by V. Borodkin A., S. Kovalev M., A. Shushlebin I., В. Бородкин А., С. Ковалев М., А. Шушлебин И.Contributors: “...The work was carried out within the project 1.5.4.5 of the of Roshydromet’s CSTP....”
Published in Arctic and Antarctic Research (2018)
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170Contributors: “... of deformation and destruction of sea ice” CSTC 052626 section 5.1.5....”
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171by Drake, Kim E., Gudjonsson, Gisli H., Sigfusdottir, Inga Dora, Sigurdsson, Jon FridrikContributors: “...1 Univ West London, London W5 5RF, England 2 Kings Coll London, Inst Psychiat, London SE5 8AF...”
Published in Personality and Individual Differences (2015)
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176Analysis of the Arctic polar vortex dynamics during the sudden stratospheric warming in January 2009by V. Zuev V., E. Savelieva S., A. Pavlinsky V., В. Зуев В., Е. Савельева С., А. Павлинский В.Contributors: “...This work was supported by the State contract no. 121031300156-5....”
Published in Arctic and Antarctic Research (2021)
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178by Lefebvre, Alexandre, Rochefort, Gael, Santos, Frédéric, Le Denmat, Dominique, Salmon, Benjamin, Pétillon, Jean-MarcContributors: “...Université Paris Descartes - Paris 5 (UPD5)...”
Published in PLOS ONE (2016)
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179by Dragon, Anne-CécileContributors: “...Mathématiques Appliquées à Paris 5 (MAP5)...”
Published 2011
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180by Dragon, Anne-CécileContributors: “...Mathématiques Appliquées à Paris 5 (MAP5)...”
Published 2011
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Doctoral or Postdoctoral Thesis