Twin prime numbers (2024)

","url":"Introduction","wordCount":0,"sequence":1,"headerCarousel":null,"path":[]},"imarsData":{"HAS_REVERTED_TIMELINE":"false","INFINITE_SCROLL":"611114|1,222079|1,674431|1,476309|1,503938|1,1556762|1,204678|1,14885|11,422325|4,22486|19"},"npsAdditionalContents":{},"templateHandler":{"name":"INDEX"},"paginationInfo":{"previousPage":null,"nextPage":null,"totalPages":1},"uaTemplate":"INDEX","infiniteScrollList":[{"p":1,"t":611114},{"p":1,"t":222079},{"p":1,"t":674431},{"p":1,"t":476309},{"p":1,"t":503938},{"p":1,"t":1556762},{"p":1,"t":204678},{"p":11,"t":14885},{"p":4,"t":422325},{"p":19,"t":22486}],"topicLeftRail":{"topicInfo":{"id":611114,"title":"twin prime numbers","url":"https://www.britannica.com/science/twin-prime-numbers","description":"Twin prime conjecture: …that there are infinitely many twin primes, or pairs of primes that differ by 2. For example, 3 and 5, 5 and 7, 11 and 13, and 17 and 19 are twin primes. As numbers get larger, primes become less frequent and twin primes rarer still.","type":"TOPIC","titleText":"twin prime numbers","urlTitle":"twin-prime-numbers","metaDescription":"Other articles where twin prime numbers is discussed: twin prime conjecture: …that there are infinitely many twin primes, or pairs of primes that differ by 2. For example, 3 and 5, 5 and 7, 11 and 13, and 17 and 19 are twin primes. As numbers get larger, primes become less frequent and twin primes rarer still.","topicClass":"science","topicKey":"twin-prime-numbers","articleContentType":"INDEX","ppTecType":"CONCEPT","gaTemplate":"INDEX","topicType":"INDEX","relativeUrl":"/science/twin-prime-numbers","assemblyLinkPrefix":"/media/1/611114/"},"topicLink":{"title":"twin prime numbers","url":"https://www.britannica.com/science/twin-prime-numbers"},"tocTitle":"Directory","tocEntry":"References","toc":null,"quoteLink":null,"indexLink":null,"factsLink":null,"mediaLink":null,"media":null,"studentLinks":null,"relatedQuizzes":null,"topQuestions":null,"readNext":null,"discover":[{"id":6434,"title":"9 American Political Scandals","url":"/list/9-american-political-scandals","description":"Are you ready to be scandalized?","image":{"id":0,"url":"/64/164764-131-89DFC4D4/Richard-M-Nixon-scandal-press-conference-March-12-1971.jpg","altText":"Watergate scandal. Richard M. Nixon. President Nixon gives a press conference and talks to the press, March 12, 1971.","credit":"Oliver F. Atkins—White House Photo/Nixon Presidential Library and Museum/NARA","width":null,"height":null,"fullUrl":"https://cdn.britannica.com/64/164764-131-89DFC4D4/Richard-M-Nixon-scandal-press-conference-March-12-1971.jpg"},"type":"LIST","breadcrumb":{"homeLink":null,"items":[{"title":"List","url":"/list/browse"},{"title":"Politics, Law & Government","url":"/list/browse/Politics-Law-Government"}],"lastItemTitle":"Politics, Law & Government"},"superCategory":{"id":5,"title":"History & Society","url":"History-Society","description":"Explore history and society; accidents and disasters; the age of revolutions; the ancient world; historic dynasties; global exploration; the middle ages; the modern world; prehistory; US history; world history; wars and battles; sociology; religion and philosophy; humanities; ethics; anthropology; festivals and holidays; human rights; human migration; international relations; politics, law, and government","keywords":"accidents and disasters; the age of revolutions; the ancient world; historic dynasties; global exploration; the middle ages; the modern world; prehistory; US history; world history; wars and battles; sociology; religion and philosophy; humanities; ethics; anthropology; festivals and holidays; human rights; human migration; international relations; politics, law, and government","classId":"HISTORY","sortOrder":1},"hashtags":["political scandals","Watergate scandal","Iran-Contra Affair","Whiskey Ring Scandal","Crédit Mobilier Scandal","Teapot Dome Scandal","Chappaquiddick","Bill Clinton","Monica Lewinsky","impeachment","Grover Cleveland","Andrew Jackson","bigamy","Ted Kennedy","Mary Jo Kopechne","American history","U.S. history","U.S. presidency","U.S. government "],"hashtagsString":"political scandals, Watergate scandal, Iran-Contra Affair, Whiskey Ring Scandal, Crédit Mobilier Scandal, Teapot Dome Scandal, Chappaquiddick, Bill Clinton, Monica Lewinsky, impeachment, Grover Cleveland, Andrew Jackson, bigamy, Ted Kennedy, Mary Jo Kopechne, American history, U.S. history, U.S. presidency, U.S. government ","displayDate":[2018,3,14],"urlTitle":"9-american-political-scandals","featureSubType":"REGULAR","categories":[{"id":9000,"title":"Politics, Law & Government","url":"Politics-Law-Government","description":"The world today is divided territorially into more than 190 countries, each of which possesses a national government that claims to exercise sovereignty and seeks to compel obedience to its will by its citizens. Governments can be classified in any number of ways. For example, they might be classified by the number of rulers, thus distinguishing government by one (as in a monarchy or a tyranny) from government by the few (in an aristocracy or oligarchy) and from government by the many (as in a democracy). Governments can also be classified by mode of succession; for example, ascension to governmental leadership may follow the rules of hereditary succession, or it may be determined through elections or by force. Governments also vary in terms of the laws and rules of conduct that each political entity follows.","image":{"id":0,"url":"/22/99622-050-E70BCD0A/Parthenon-Athens.jpg","altText":"Politics, Law & Government","credit":null,"width":null,"height":null,"fullUrl":"https://cdn.britannica.com/22/99622-050-E70BCD0A/Parthenon-Athens.jpg"}},{"id":6000,"title":"World History","url":"World-History","description":"Does history really repeat itself, or can we learn from the mistakes of those who came before us? History provides a chronological, statistical, and cultural record of the events, people, and movements that have made an impact on humankind and the world at large throughout the ages.","image":{"id":0,"url":"/05/84505-050-8BB58BE6/cave-art-Ennedi-Plateau-Chad.jpg","altText":"World History","credit":null,"width":null,"height":null,"fullUrl":"https://cdn.britannica.com/05/84505-050-8BB58BE6/cave-art-Ennedi-Plateau-Chad.jpg"}},null],"mainCategory":{"id":9000,"title":"Politics, Law & Government","url":"Politics-Law-Government","description":"The world today is divided territorially into more than 190 countries, each of which possesses a national government that claims to exercise sovereignty and seeks to compel obedience to its will by its citizens. Governments can be classified in any number of ways. For example, they might be classified by the number of rulers, thus distinguishing government by one (as in a monarchy or a tyranny) from government by the few (in an aristocracy or oligarchy) and from government by the many (as in a democracy). Governments can also be classified by mode of succession; for example, ascension to governmental leadership may follow the rules of hereditary succession, or it may be determined through elections or by force. Governments also vary in terms of the laws and rules of conduct that each political entity follows.","image":{"id":0,"url":"/22/99622-050-E70BCD0A/Parthenon-Athens.jpg","altText":"Politics, Law & Government","credit":null,"width":null,"height":null,"fullUrl":"https://cdn.britannica.com/22/99622-050-E70BCD0A/Parthenon-Athens.jpg"}},"typeDisplayName":"List"},{"id":5927,"title":"Why Is Pluto No Longer a Planet?","url":"/story/why-is-pluto-no-longer-a-planet","description":"Did the former planet really deserve its demotion?","image":{"id":0,"url":"/33/183533-131-AEA24595/moon-Pluto-photo-Charon-New-Horizons-spacecraft-July-13-2015.jpg","altText":"Remarkable new details of Pluto's largest moon Charon are revealed in this image from New Horizons' Long Range Reconnaissance Imager (LORRI), taken late on July 13, 2015 from a distance of 289,000 miles","credit":"NASA/Johns Hopkins University Applied Physics Laboratory/Southwest Research Institute","width":null,"height":null,"fullUrl":"https://cdn.britannica.com/33/183533-131-AEA24595/moon-Pluto-photo-Charon-New-Horizons-spacecraft-July-13-2015.jpg"},"type":"STORY","breadcrumb":{"homeLink":null,"items":[{"title":"Demystified","url":"/stories/demystified"},{"title":"Science","url":"/stories/demystified/Science"}],"lastItemTitle":"Science"},"superCategory":{"id":6,"title":"Science & Tech","url":"Science-Tech","description":"Explore science and technology; astronomy; biology; chemistry; earth science; mathematics; physics; technology, agriculture, cars, computers, engineering, industry, inventions, communication","keywords":"astronomy; biology; chemistry; earth science; mathematics; physics; technology, agriculture, cars, computers, engineering, industry, inventions, communication","classId":"SCIENCE","sortOrder":2},"hashtags":["demystified","pluto","planet","sun","solar system","dwarf planet","international astronomical union","iau","orbit","universe","earth","definition","celestial object","spherical","space","outer space"],"hashtagsString":"demystified, pluto, planet, sun, solar system, dwarf planet, international astronomical union, iau, orbit, universe, earth, definition, celestial object, spherical, space, outer space","displayDate":[2016,9,16],"urlTitle":"why-is-pluto-no-longer-a-planet","featureSubType":"DEMYSTIFIED","categories":[{"id":1000,"title":"Science","url":"Science","description":"How can the sky be blue one day and stormy the next? Why do heavy objects tend to fall downwards when dropped? How are birds able to fly (and why can’t I do the same?)? Human beings have long been curious about the world in which we live, striving to identify connections among the phenomenons we witness and to understand how it all works. The field of science has developed over many centuries as a way of studying and understanding the world, beginning with the primitive stage of simply noting important regularities in nature and continuing through the rise of modern science. The modern-day sciences cover a vast range of fields, including biology, chemistry, meteorology, astronomy, physics, and much more.","image":{"id":0,"url":"/86/193986-050-7B2DBB6A/ball-and-stick-model-structure-atoms.jpg","altText":"Science","credit":null,"width":null,"height":null,"fullUrl":"https://cdn.britannica.com/86/193986-050-7B2DBB6A/ball-and-stick-model-structure-atoms.jpg"}},null,null],"mainCategory":{"id":1000,"title":"Science","url":"Science","description":"How can the sky be blue one day and stormy the next? Why do heavy objects tend to fall downwards when dropped? How are birds able to fly (and why can’t I do the same?)? Human beings have long been curious about the world in which we live, striving to identify connections among the phenomenons we witness and to understand how it all works. The field of science has developed over many centuries as a way of studying and understanding the world, beginning with the primitive stage of simply noting important regularities in nature and continuing through the rise of modern science. The modern-day sciences cover a vast range of fields, including biology, chemistry, meteorology, astronomy, physics, and much more.","image":{"id":0,"url":"/86/193986-050-7B2DBB6A/ball-and-stick-model-structure-atoms.jpg","altText":"Science","credit":null,"width":null,"height":null,"fullUrl":"https://cdn.britannica.com/86/193986-050-7B2DBB6A/ball-and-stick-model-structure-atoms.jpg"}},"typeDisplayName":"Demystified"},{"id":5316,"title":"Flags That Look Alike","url":"/list/flags-that-look-alike","description":"Figure out which flag to wave.","image":{"id":0,"url":"/94/187194-131-4117D246/Thumbnail-flags-quiz-Russia-Iceland-Norway-Slovenia.jpg","altText":"Thumbnail for flags that look alike quiz Russia, Slovenia, Iceland, Norway","credit":"Encyclopædia Britannica, Inc.","width":null,"height":null,"fullUrl":"https://cdn.britannica.com/94/187194-131-4117D246/Thumbnail-flags-quiz-Russia-Iceland-Norway-Slovenia.jpg"},"type":"LIST","breadcrumb":{"homeLink":null,"items":[{"title":"List","url":"/list/browse"},{"title":"Geography & Travel","url":"/list/browse/Geography-Travel"}],"lastItemTitle":"Geography & Travel"},"superCategory":{"id":4,"title":"Geography & Travel","url":"Geography-Travel","description":"Explore geography and travel; geographic regions; historical places; people of the world; countries, states, provinces, cities, and towns; languages; deserts, islands, mountains, plateaus; lakes, oceans, seas, rivers; national parks, tourist attractions","keywords":"geographic regions; historical places; people of the world; countries, states, provinces, cities, and towns; languages; deserts, islands, mountains, plateaus; lakes, oceans, seas, rivers; national parks, tourist attractions ","classId":"GEOGRAPHY","sortOrder":5},"hashtags":["flags","countries","similar","look-alike"],"hashtagsString":"flags, countries, similar, look-alike","displayDate":[2024,1,26],"urlTitle":"flags-that-look-alike","featureSubType":"REGULAR","categories":[{"id":5000,"title":"Geography & Travel","url":"Geography-Travel","description":"Planet Earth contains some extraordinarily diverse environments, some of which are easily habitable and some not so much. In different areas of Earth, one might find sweltering deserts, dense tropical rainforests, or bone-chilling tundras. Each biome and habitat comes with its own selection of flora and fauna, and it may include physical features such as canyons, volcanoes, rivers, or caves. Human beings have built homes in many different environments, settling the area and organizing it into units such as cities, states, regions, and countries, each with its own points of interest. Shifting trends in human migration have resulted in a human geography that is profoundly different from that of centuries ago.","image":{"id":0,"url":"/17/2317-050-758D0E55/World-map-descriptions-Herodotus-Black-Sea.jpg","altText":"Geography & Travel","credit":null,"width":null,"height":null,"fullUrl":"https://cdn.britannica.com/17/2317-050-758D0E55/World-map-descriptions-Herodotus-Black-Sea.jpg"}},{"id":6000,"title":"World History","url":"World-History","description":"Does history really repeat itself, or can we learn from the mistakes of those who came before us? History provides a chronological, statistical, and cultural record of the events, people, and movements that have made an impact on humankind and the world at large throughout the ages.","image":{"id":0,"url":"/05/84505-050-8BB58BE6/cave-art-Ennedi-Plateau-Chad.jpg","altText":"World History","credit":null,"width":null,"height":null,"fullUrl":"https://cdn.britannica.com/05/84505-050-8BB58BE6/cave-art-Ennedi-Plateau-Chad.jpg"}},null],"mainCategory":{"id":5000,"title":"Geography & Travel","url":"Geography-Travel","description":"Planet Earth contains some extraordinarily diverse environments, some of which are easily habitable and some not so much. In different areas of Earth, one might find sweltering deserts, dense tropical rainforests, or bone-chilling tundras. Each biome and habitat comes with its own selection of flora and fauna, and it may include physical features such as canyons, volcanoes, rivers, or caves. Human beings have built homes in many different environments, settling the area and organizing it into units such as cities, states, regions, and countries, each with its own points of interest. Shifting trends in human migration have resulted in a human geography that is profoundly different from that of centuries ago.","image":{"id":0,"url":"/17/2317-050-758D0E55/World-map-descriptions-Herodotus-Black-Sea.jpg","altText":"Geography & Travel","credit":null,"width":null,"height":null,"fullUrl":"https://cdn.britannica.com/17/2317-050-758D0E55/World-map-descriptions-Herodotus-Black-Sea.jpg"}},"typeDisplayName":"List"},{"id":6381,"title":"Why New York Is Called \"The Big Apple\" and How 8 Other Famous Cities Got Their Nicknames","url":"/story/how-9-famous-cities-got-their-nicknames","description":"What’s so apple-y about New York, anyway?","image":{"id":0,"url":"/71/188471-131-4DF0E559/Sydney-Opera-House-Port-Jackson.jpg","altText":"Sydney Opera House, Port Jackson, Sydney Harbour, New South Wales, Australia.","credit":"© Paul Liu/Fotolia","width":null,"height":null,"fullUrl":"https://cdn.britannica.com/71/188471-131-4DF0E559/Sydney-Opera-House-Port-Jackson.jpg"},"type":"STORY","breadcrumb":{"homeLink":null,"items":[{"title":"#WTFact","url":"/stories/wtfact"},{"title":"Geography & Travel","url":"/stories/wtfact/Geography-Travel"}],"lastItemTitle":"Geography & Travel"},"superCategory":{"id":4,"title":"Geography & Travel","url":"Geography-Travel","description":"Explore geography and travel; geographic regions; historical places; people of the world; countries, states, provinces, cities, and towns; languages; deserts, islands, mountains, plateaus; lakes, oceans, seas, rivers; national parks, tourist attractions","keywords":"geographic regions; historical places; people of the world; countries, states, provinces, cities, and towns; languages; deserts, islands, mountains, plateaus; lakes, oceans, seas, rivers; national parks, tourist attractions ","classId":"GEOGRAPHY","sortOrder":5},"hashtags":["geography","nicknames","major cities","famous cities","cities"],"hashtagsString":"geography, nicknames, major cities, famous cities, cities","displayDate":[2017,10,25],"urlTitle":"how-9-famous-cities-got-their-nicknames","featureSubType":"WTFACT","categories":[{"id":5000,"title":"Geography & Travel","url":"Geography-Travel","description":"Planet Earth contains some extraordinarily diverse environments, some of which are easily habitable and some not so much. In different areas of Earth, one might find sweltering deserts, dense tropical rainforests, or bone-chilling tundras. Each biome and habitat comes with its own selection of flora and fauna, and it may include physical features such as canyons, volcanoes, rivers, or caves. Human beings have built homes in many different environments, settling the area and organizing it into units such as cities, states, regions, and countries, each with its own points of interest. Shifting trends in human migration have resulted in a human geography that is profoundly different from that of centuries ago.","image":{"id":0,"url":"/17/2317-050-758D0E55/World-map-descriptions-Herodotus-Black-Sea.jpg","altText":"Geography & Travel","credit":null,"width":null,"height":null,"fullUrl":"https://cdn.britannica.com/17/2317-050-758D0E55/World-map-descriptions-Herodotus-Black-Sea.jpg"}},{"id":10000,"title":"Entertainment & Pop Culture","url":"Entertainment-Pop-Culture","description":"Entertainment and leisure activities have been a part of culture in one form or another since the ancient times. Dance performances, live music, and storytelling have a long tradition throughout history, even as the styles and available methods of delivery have shifted dramatically.","image":{"id":0,"url":"/04/167104-050-A0D0F726.jpg","altText":"Entertainment & Pop Culture","credit":null,"width":null,"height":null,"fullUrl":"https://cdn.britannica.com/04/167104-050-A0D0F726.jpg"}},null],"mainCategory":{"id":5000,"title":"Geography & Travel","url":"Geography-Travel","description":"Planet Earth contains some extraordinarily diverse environments, some of which are easily habitable and some not so much. In different areas of Earth, one might find sweltering deserts, dense tropical rainforests, or bone-chilling tundras. Each biome and habitat comes with its own selection of flora and fauna, and it may include physical features such as canyons, volcanoes, rivers, or caves. Human beings have built homes in many different environments, settling the area and organizing it into units such as cities, states, regions, and countries, each with its own points of interest. Shifting trends in human migration have resulted in a human geography that is profoundly different from that of centuries ago.","image":{"id":0,"url":"/17/2317-050-758D0E55/World-map-descriptions-Herodotus-Black-Sea.jpg","altText":"Geography & Travel","credit":null,"width":null,"height":null,"fullUrl":"https://cdn.britannica.com/17/2317-050-758D0E55/World-map-descriptions-Herodotus-Black-Sea.jpg"}},"typeDisplayName":"#WTFact"},{"id":5729,"title":"10 Greatest Baseball Players of All Time","url":"/list/10-greatest-baseball-players-of-all-time","description":"Check out the best baseballers ever!","image":{"id":0,"url":"/35/146135-131-BC5E7D00/Baseball-grass-arts-Homepage-blog-entertainment-sports-2010.jpg","altText":"Baseball laying in the grass. Homepage blog 2010, arts and entertainment, history and society, sports and games athletics","credit":"© iStockphoto/Thinkstock","width":null,"height":null,"fullUrl":"https://cdn.britannica.com/35/146135-131-BC5E7D00/Baseball-grass-arts-Homepage-blog-entertainment-sports-2010.jpg"},"type":"LIST","breadcrumb":{"homeLink":null,"items":[{"title":"List","url":"/list/browse"},{"title":"Sports & Recreation","url":"/list/browse/Sports-Recreation"}],"lastItemTitle":"Sports & Recreation"},"superCategory":{"id":2,"title":"Arts & Culture","url":"Arts-Culture","description":"Explore arts and culture; entertainment and pop culture, actors, comics, dance, film, food, music, theatre, tv; visual arts, architecture, fashion, painting, photography, sculpture; literature, fiction, nonfiction, plays, poetry, short story; sports and recreation","keywords":"entertainment and pop culture, actors, comics, dance, film, food, music, theatre, tv; visual arts, architecture, fashion, painting, photography, sculpture; literature, fiction, nonfiction, plays, poetry, short story; sports and recreation","classId":"ART","sortOrder":6},"hashtags":["baseball","greatest players","Major League Baseball","American League","National League","Hall of Fame"],"hashtagsString":"baseball, greatest players, Major League Baseball, American League, National League, Hall of Fame","displayDate":[2016,7,8],"urlTitle":"10-greatest-baseball-players-of-all-time","featureSubType":"REGULAR","categories":[{"id":4000,"title":"Sports & Recreation","url":"Sports-Recreation","description":"Physical contests and recreational games have long played a part in human society. In both team and solo sports, the human body has been pushed to its limits in the name of improving athletic performance and in order to break record upon record. The ancient Olympic Games are an early example of the contests in which humans have engaged to showcase physical prowess. In modern times, sports and games have evolved into a lucrative and competitive industry, while other leisure activities, such as card and video games, can be competitive or just serve as a way to unwind or socialize.","image":{"id":0,"url":"/13/170713-131-8D6B0AF7.jpg","altText":"Sports & Recreation","credit":null,"width":null,"height":null,"fullUrl":"https://cdn.britannica.com/13/170713-131-8D6B0AF7.jpg"}},{"id":10000,"title":"Entertainment & Pop Culture","url":"Entertainment-Pop-Culture","description":"Entertainment and leisure activities have been a part of culture in one form or another since the ancient times. Dance performances, live music, and storytelling have a long tradition throughout history, even as the styles and available methods of delivery have shifted dramatically.","image":{"id":0,"url":"/04/167104-050-A0D0F726.jpg","altText":"Entertainment & Pop Culture","credit":null,"width":null,"height":null,"fullUrl":"https://cdn.britannica.com/04/167104-050-A0D0F726.jpg"}},null],"mainCategory":{"id":4000,"title":"Sports & Recreation","url":"Sports-Recreation","description":"Physical contests and recreational games have long played a part in human society. In both team and solo sports, the human body has been pushed to its limits in the name of improving athletic performance and in order to break record upon record. The ancient Olympic Games are an early example of the contests in which humans have engaged to showcase physical prowess. In modern times, sports and games have evolved into a lucrative and competitive industry, while other leisure activities, such as card and video games, can be competitive or just serve as a way to unwind or socialize.","image":{"id":0,"url":"/13/170713-131-8D6B0AF7.jpg","altText":"Sports & Recreation","credit":null,"width":null,"height":null,"fullUrl":"https://cdn.britannica.com/13/170713-131-8D6B0AF7.jpg"}},"typeDisplayName":"List"},{"id":9111,"title":"How Many Electoral College Votes Does Each U.S. State Have?","url":"/story/how-many-electoral-college-votes-does-each-us-state-have","description":"Every U.S. presidential election is determined by the electoral college. Find out how many votes each state has.","image":{"id":0,"url":"/68/220368-131-C835E48E/United-States-electoral-college-votes-by-state.jpg","altText":"United States Electoral College votes by state","credit":"Encyclopædia Britannica, Inc./Kenny Chmielewski","width":null,"height":null,"fullUrl":"https://cdn.britannica.com/68/220368-131-C835E48E/United-States-electoral-college-votes-by-state.jpg"},"type":"STORY","breadcrumb":{"homeLink":null,"items":[{"title":"Spotlight","url":"/stories/spotlight"},{"title":"Politics, Law & Government","url":"/stories/spotlight/Politics-Law-Government"}],"lastItemTitle":"Politics, Law & Government"},"superCategory":{"id":5,"title":"History & Society","url":"History-Society","description":"Explore history and society; accidents and disasters; the age of revolutions; the ancient world; historic dynasties; global exploration; the middle ages; the modern world; prehistory; US history; world history; wars and battles; sociology; religion and philosophy; humanities; ethics; anthropology; festivals and holidays; human rights; human migration; international relations; politics, law, and government","keywords":"accidents and disasters; the age of revolutions; the ancient world; historic dynasties; global exploration; the middle ages; the modern world; prehistory; US history; world history; wars and battles; sociology; religion and philosophy; humanities; ethics; anthropology; festivals and holidays; human rights; human migration; international relations; politics, law, and government","classId":"HISTORY","sortOrder":1},"hashtags":["spotlight","infographic","electoral college","United States","U.S. presidency","U.S. presidential election","votes","states"],"hashtagsString":"spotlight, infographic, electoral college, United States, U.S. presidency, U.S. presidential election, votes, states","displayDate":[2021,12,15],"urlTitle":"how-many-electoral-college-votes-does-each-us-state-have","featureSubType":"SPOTLIGHT","categories":[{"id":9000,"title":"Politics, Law & Government","url":"Politics-Law-Government","description":"The world today is divided territorially into more than 190 countries, each of which possesses a national government that claims to exercise sovereignty and seeks to compel obedience to its will by its citizens. Governments can be classified in any number of ways. For example, they might be classified by the number of rulers, thus distinguishing government by one (as in a monarchy or a tyranny) from government by the few (in an aristocracy or oligarchy) and from government by the many (as in a democracy). Governments can also be classified by mode of succession; for example, ascension to governmental leadership may follow the rules of hereditary succession, or it may be determined through elections or by force. Governments also vary in terms of the laws and rules of conduct that each political entity follows.","image":{"id":0,"url":"/22/99622-050-E70BCD0A/Parthenon-Athens.jpg","altText":"Politics, Law & Government","credit":null,"width":null,"height":null,"fullUrl":"https://cdn.britannica.com/22/99622-050-E70BCD0A/Parthenon-Athens.jpg"}},null,null],"mainCategory":{"id":9000,"title":"Politics, Law & Government","url":"Politics-Law-Government","description":"The world today is divided territorially into more than 190 countries, each of which possesses a national government that claims to exercise sovereignty and seeks to compel obedience to its will by its citizens. Governments can be classified in any number of ways. For example, they might be classified by the number of rulers, thus distinguishing government by one (as in a monarchy or a tyranny) from government by the few (in an aristocracy or oligarchy) and from government by the many (as in a democracy). Governments can also be classified by mode of succession; for example, ascension to governmental leadership may follow the rules of hereditary succession, or it may be determined through elections or by force. Governments also vary in terms of the laws and rules of conduct that each political entity follows.","image":{"id":0,"url":"/22/99622-050-E70BCD0A/Parthenon-Athens.jpg","altText":"Politics, Law & Government","credit":null,"width":null,"height":null,"fullUrl":"https://cdn.britannica.com/22/99622-050-E70BCD0A/Parthenon-Athens.jpg"}},"typeDisplayName":"Spotlight"},{"id":6537,"title":"Timeline of the Titanic’s Final Hours","url":"/story/timeline-of-the-titanics-final-hours","description":"Learn more about the doomed ocean liner’s sinking.","image":{"id":0,"url":"/92/231192-131-AEEB4C61/infographic-Titanic.jpg","altText":"Titanic infographic. The 30th anniversary of its discovery is September 1, 2015. SPOTLIGHT VERSION.","credit":"Encyclopædia Britannica, Inc./Patrick O'Neill Riley","width":null,"height":null,"fullUrl":"https://cdn.britannica.com/92/231192-131-AEEB4C61/infographic-Titanic.jpg"},"type":"STORY","breadcrumb":{"homeLink":null,"items":[{"title":"Companion","url":"/stories/companion"},{"title":"World History","url":"/stories/companion/World-History"}],"lastItemTitle":"World History"},"superCategory":{"id":5,"title":"History & Society","url":"History-Society","description":"Explore history and society; accidents and disasters; the age of revolutions; the ancient world; historic dynasties; global exploration; the middle ages; the modern world; prehistory; US history; world history; wars and battles; sociology; religion and philosophy; humanities; ethics; anthropology; festivals and holidays; human rights; human migration; international relations; politics, law, and government","keywords":"accidents and disasters; the age of revolutions; the ancient world; historic dynasties; global exploration; the middle ages; the modern world; prehistory; US history; world history; wars and battles; sociology; religion and philosophy; humanities; ethics; anthropology; festivals and holidays; human rights; human migration; international relations; politics, law, and government","classId":"HISTORY","sortOrder":1},"hashtags":["companion","Titanic","ocean liner","sinking","White Star Line","iceberg","Captain Edward J. Smith","J. Bruce Ismay"],"hashtagsString":"companion, Titanic, ocean liner, sinking, White Star Line, iceberg, Captain Edward J. Smith, J. Bruce Ismay","displayDate":[2018,8,17],"urlTitle":"timeline-of-the-titanics-final-hours","featureSubType":"COMPANION","categories":[{"id":6000,"title":"World History","url":"World-History","description":"Does history really repeat itself, or can we learn from the mistakes of those who came before us? History provides a chronological, statistical, and cultural record of the events, people, and movements that have made an impact on humankind and the world at large throughout the ages.","image":{"id":0,"url":"/05/84505-050-8BB58BE6/cave-art-Ennedi-Plateau-Chad.jpg","altText":"World History","credit":null,"width":null,"height":null,"fullUrl":"https://cdn.britannica.com/05/84505-050-8BB58BE6/cave-art-Ennedi-Plateau-Chad.jpg"}},{"id":8000,"title":"Lifestyles & Social Issues","url":"Lifestyles-Social-Issues","description":"It's easy enough to agree that human beings all around the world have certain basic requirements that must be fulfilled in order to ensure their individual and collective well-being. History has shown us, however, that it's not so easy to form societies or communities that fulfill these requirements for all members. The fight for human and civil rights has persisted for hundreds of years and remains alive today, both within the borders of nations and on an international scale. It has led to large-scale social movements and reforms concerning issues such as suffrage, slavery, women's rights, racism, environmentalism, gay rights, and much more.","image":{"id":0,"url":"/11/195611-131-4DFC1336/Belgian-pride-parade-People-streets-flags-Brussels-2017.jpg","altText":"Lifestyles & Social Issues","credit":null,"width":null,"height":null,"fullUrl":"https://cdn.britannica.com/11/195611-131-4DFC1336/Belgian-pride-parade-People-streets-flags-Brussels-2017.jpg"}},null],"mainCategory":{"id":6000,"title":"World History","url":"World-History","description":"Does history really repeat itself, or can we learn from the mistakes of those who came before us? History provides a chronological, statistical, and cultural record of the events, people, and movements that have made an impact on humankind and the world at large throughout the ages.","image":{"id":0,"url":"/05/84505-050-8BB58BE6/cave-art-Ennedi-Plateau-Chad.jpg","altText":"World History","credit":null,"width":null,"height":null,"fullUrl":"https://cdn.britannica.com/05/84505-050-8BB58BE6/cave-art-Ennedi-Plateau-Chad.jpg"}},"typeDisplayName":"Companion"}]},"byline":null,"citationInfo":null,"websites":null,"freeTopicReason":"TOPIC_IS_INDEX_PAGE","articleSchemaMarkup":{"keywords":"twin prime numbers","wordcount":0,"url":"https://www.britannica.com/science/twin-prime-numbers","description":"Other articles where twin prime numbers is discussed: twin prime conjecture: …that there are infinitely many twin primes, or pairs of primes that differ by 2. For example, 3 and 5, 5 and 7, 11 and 13, and 17 and 19 are twin primes. As numbers get larger, primes become less frequent and twin primes rarer still.","publisher":{"name":"Encyclopedia Britannica","@type":"Organization","logo":{"url":"https://corporate.britannica.com/wp-content/themes/eb-corporate/_img/logo.png","@type":"ImageObject"}},"@context":"https://schema.org","@type":"article"},"studentArticle":false,"showHeader":true,"initialLoad":true,"comingFromSameArticle":false}


Learn about this topic in these articles:

twin prime conjecture

  • In twin prime conjecture

    …that there are infinitely many twin primes, or pairs of primes that differ by 2. For example, 3 and 5, 5 and 7, 11 and 13, and 17 and 19 are twin primes. As numbers get larger, primes become less frequent and twin primes rarer still.

    Read More
Twin prime numbers (2024)
Top Articles
Latest Posts
Article information

Author: Rueben Jacobs

Last Updated:

Views: 5799

Rating: 4.7 / 5 (57 voted)

Reviews: 88% of readers found this page helpful

Author information

Name: Rueben Jacobs

Birthday: 1999-03-14

Address: 951 Caterina Walk, Schambergerside, CA 67667-0896

Phone: +6881806848632

Job: Internal Education Planner

Hobby: Candle making, Cabaret, Poi, Gambling, Rock climbing, Wood carving, Computer programming

Introduction: My name is Rueben Jacobs, I am a cooperative, beautiful, kind, comfortable, glamorous, open, magnificent person who loves writing and wants to share my knowledge and understanding with you.