67 (number)
Encyclopedia
67 is the natural number
following 66
and preceding 68
. It is an odd number.
(the next is 71
), an irregular prime, a lucky prime, the sum of five consecutive primes (7 + 11 + 13 + 17 + 19), and a Heegner number
.
Since 18! + 1 is divisible by 67 but 67 is not one more than a multiple of 18, 67 is a Pillai prime.
In a Voronoi diagram
created using points from the prime spiral, no prime less than 10242 will have a rounder Voronoi cell than 67.
Natural number
In mathematics, the natural numbers are the ordinary whole numbers used for counting and ordering . These purposes are related to the linguistic notions of cardinal and ordinal numbers, respectively...
following 66
66 (number)
66 is the natural number following 65 and preceding 67.Usages of this number include:-Mathematics:*66 is a sphenic number, a triangular number, a hexagonal number, and a semi-meandric number...
and preceding 68
68 (number)
68 is the natural number following 67 and preceding 69.-In mathematics:Sixty-eight is a nontotient. It is also a Perrin number, preceded in the sequence by 29, 39, 51...
. It is an odd number.
In mathematics
Sixty-seven is the 19th prime numberPrime number
A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is called a composite number. For example 5 is prime, as only 1 and 5 divide it, whereas 6 is composite, since it has the divisors 2...
(the next is 71
71 (number)
71 is the natural number following 70 and preceding 72.-In mathematics:71 is the algebraic degree of Conway's constant, a remarkable number arising in the study of look-and-say sequences....
), an irregular prime, a lucky prime, the sum of five consecutive primes (7 + 11 + 13 + 17 + 19), and a Heegner number
Heegner number
In number theory, a Heegner number is a square-free positive integer d such that the imaginary quadratic field Q has class number 1...
.
Since 18! + 1 is divisible by 67 but 67 is not one more than a multiple of 18, 67 is a Pillai prime.
In a Voronoi diagram
Voronoi diagram
In mathematics, a Voronoi diagram is a special kind of decomposition of a given space, e.g., a metric space, determined by distances to a specified family of objects in the space...
created using points from the prime spiral, no prime less than 10242 will have a rounder Voronoi cell than 67.
Astronomy
- Messier objectMessier objectThe Messier objects are a set of astronomical objects first listed by French astronomer Charles Messier in 1771. The original motivation of the catalogue was that Messier was a comet hunter, and was frustrated by objects which resembled but were not comets...
M67Messier 67Messier 67 is an open cluster in the constellation of Cancer. M67's Trumpler class is variously given as II 2 r, II 2 m, or II 3 r. It was discovered by Johann Gottfried Koehler in 1779. Age estimates for the cluster range between 3.2 and 5 billion years, with the most recent estimate implying...
, a magnitude 7.5 open clusterOpen clusterAn open cluster is a group of up to a few thousand stars that were formed from the same giant molecular cloud and have roughly the same age. More than 1,100 open clusters have been discovered within the Milky Way Galaxy, and many more are thought to exist...
in the constellationConstellationIn modern astronomy, a constellation is an internationally defined area of the celestial sphere. These areas are grouped around asterisms, patterns formed by prominent stars within apparent proximity to one another on Earth's night sky....
CancerCancer (constellation)Cancer is one of the twelve constellations of the zodiac. Its name is Latin for crab and it is commonly represented as such. Its symbol is . Cancer is small and its stars are faint... - The New General CatalogueNew General CatalogueThe New General Catalogue of Nebulae and Clusters of Stars is a well-known catalogue of deep sky objects in astronomy. It contains 7,840 objects, known as the NGC objects...
object NGC 67, an elliptical galaxyElliptical galaxyAn elliptical galaxy is a galaxy having an approximately ellipsoidal shape and a smooth, nearly featureless brightness profile. They range in shape from nearly spherical to highly flat and in size from hundreds of millions to over one trillion stars...
in the constellation AndromedaAndromeda (constellation)Andromeda is a constellation in the northern sky. It is named after Andromeda, the princess in the Greek legend of Perseus who was chained to a rock to be eaten by the sea monster Cetus... - The Saros number of the solar eclipseSolar eclipseAs seen from the Earth, a solar eclipse occurs when the Moon passes between the Sun and the Earth, and the Moon fully or partially blocks the Sun as viewed from a location on Earth. This can happen only during a new moon, when the Sun and the Moon are in conjunction as seen from Earth. At least...
series which began on -727 February 20 and ended on 571 April. The duration of Saros series 67 was 1298.1 years, and it contained 73 solar eclipses. The Saros number of the lunar eclipseLunar eclipseA lunar eclipse occurs when the Moon passes behind the Earth so that the Earth blocks the Sun's rays from striking the Moon. This can occur only when the Sun, Earth, and Moon are aligned exactly, or very closely so, with the Earth in the middle. Hence, a lunar eclipse can only occur the night of a...
series which began on -660 July 1 and ended on 656 September. The duration of Saros series 67 was 1316.2 years, and it contained 74 lunar eclipses.
Rap
- Rapper Tech N9neTech N9neAaron Dontez Yates , better known by his stage name Tech N9ne , is an American rapper from Kansas City, Missouri. In 1999, Yates and Travis O'Guin founded the record label Strange Music. Throughout his career, Yates has sold over one million albums and has had his music featured in film,...
claims to be "All 6's and 7'sAll 6's And 7'sAll 6's And 7's is the twelfth studio album of American rapper and songwriter Tech N9ne, and was released on June 7, 2011, on Strange Music...
" explaining that 6 is evil and 7 is godly. - Rapper Lil WayneLil WayneDwayne Michael Carter, Jr. , better known by his stage name Lil Wayne, is an American rapper. At the age of nine, Lil Wayne joined Cash Money Records as the youngest member of the label, and half of the duo, The B.G.'z, with B.G.. In 1997, Lil Wayne joined the group Hot Boys, which also included...
released a music video for the song "6 Foot 7 Foot6 Foot 7 Foot"6 Foot 7 Foot" is a song by American rapper Lil Wayne, taken from his ninth studio album, Tha Carter IV . It was officially released on iTunes on December 16, 2010. It was produced by "A Milli" producer Bangladesh. The song samples from "Day-O " by Harry Belafonte.-Background:"6 Foot 7 Foot" is...
" (shortened as 6'7') in 2011 where he borrows a scene from the film InceptionInceptionInception: The Subconscious Jams 1994-1995 is a compilation of unreleased tracks by the band Download.-Track listing:# "Primitive Tekno Jam" – 3:23# "Bee Sting Sickness" – 8:04# "Weed Acid Techno" – 8:19...
.
Other fields
Sixty-seven is:- The registry of the U.S. Navy's aircraft carrier USS John F. Kennedy (CV-67)USS John F. Kennedy (CV-67)USS John F. Kennedy is a John F. Kennedy class aircraft carrier, the last conventionally powered carrier built for the United States Navy. The ship is named after the 35th President of the United States, John F...
, named after U.S. President John F. KennedyJohn F. KennedyJohn Fitzgerald "Jack" Kennedy , often referred to by his initials JFK, was the 35th President of the United States, serving from 1961 until his assassination in 1963.... - The number of the European route E67European route E67European route E 67 is a E-road running from Prague in the Czech Republic to Helsinki in Finland by way of Poland, Lithuania, Latvia, and Estonia....
, the Via Baltica from PraguePraguePrague is the capital and largest city of the Czech Republic. Situated in the north-west of the country on the Vltava river, the city is home to about 1.3 million people, while its metropolitan area is estimated to have a population of over 2.3 million...
to HelsinkiHelsinkiHelsinki is the capital and largest city in Finland. It is in the region of Uusimaa, located in southern Finland, on the shore of the Gulf of Finland, an arm of the Baltic Sea. The population of the city of Helsinki is , making it by far the most populous municipality in Finland. Helsinki is... - The number of the French department Bas-RhinBas-RhinBas-Rhin is a department of France. The name means "Lower Rhine". It is the more populous and densely populated of the two departments of the Alsace region, with 1,079,013 inhabitants in 2006.- History :...
- ChicagoChicago (band)Chicago is an American rock band formed in 1967 in Chicago, Illinois. The self-described "rock and roll band with horns" began as a politically charged, sometimes experimental, rock band and later moved to a predominantly softer sound, becoming famous for producing a number of hit ballads. They had...
's song "Questions 67 and 68Questions 67 and 68"Questions 67 and 68" is a song written by Robert Lamm for the rock band Chicago and recorded for their debut album The Chicago Transit Authority , with Peter Cetera and Lamm singing lead vocals...
" - Elton JohnElton JohnSir Elton Hercules John, CBE, Hon DMus is an English rock singer-songwriter, composer, pianist and occasional actor...
's song "Old '67Old '67"Old '67" is a song from Elton John's album, The Captain & the Kid. Throughout its lyrics, John and Bernie Taupin look back upon the time they began forging their songwriting partnership and friendship....
" on The Captain & The KidThe Captain & The KidThe Captain & the Kid is the twenty-ninth studio album by British singer/songwriter Elton John, released in 2006. It is his second autobiographical album with lyricist Bernie Taupin, picking up where 1975's Captain Fantastic and the Brown Dirt Cowboy left off...
CD, (2006) - The number of counties in FloridaFloridaFlorida is a state in the southeastern United States, located on the nation's Atlantic and Gulf coasts. It is bordered to the west by the Gulf of Mexico, to the north by Alabama and Georgia and to the east by the Atlantic Ocean. With a population of 18,801,310 as measured by the 2010 census, it...
- The number of counties in AlabamaAlabamaAlabama is a state located in the southeastern region of the United States. It is bordered by Tennessee to the north, Georgia to the east, Florida and the Gulf of Mexico to the south, and Mississippi to the west. Alabama ranks 30th in total land area and ranks second in the size of its inland...
- The number of counties in PennsylvaniaPennsylvaniaThe Commonwealth of Pennsylvania is a U.S. state that is located in the Northeastern and Mid-Atlantic regions of the United States. The state borders Delaware and Maryland to the south, West Virginia to the southwest, Ohio to the west, New York and Ontario, Canada, to the north, and New Jersey to...
- The highest two-digit odd number not presently designating any highway in the Interstate Highway SystemInterstate Highway SystemThe Dwight D. Eisenhower National System of Interstate and Defense Highways, , is a network of limited-access roads including freeways, highways, and expressways forming part of the National Highway System of the United States of America...
of the United StatesUnited StatesThe United States of America is a federal constitutional republic comprising fifty states and a federal district...
. - In the US, *67 is a common prefix-code for blocking caller-id info on the subsequent call.
In sports
- Buddy ArringtonBuddy ArringtonBuddy Arrington is a retired NASCAR Grand National/Winston Cup driver.- Biography :...
's best-known NASCARNASCARThe National Association for Stock Car Auto Racing is a family-owned and -operated business venture that sanctions and governs multiple auto racing sports events. It was founded by Bill France Sr. in 1947–48. As of 2009, the CEO for the company is Brian France, grandson of the late Bill France Sr...
car number - The Ottawa 67'sOttawa 67'sThe Ottawa 67’s are a junior ice hockey team based in Ottawa, Ontario. They have played in the Ontario Hockey League since 1967, Canada's centennial year. The current coach is Chris Byrne.-History:...
, founded in 1967 - The number of throws in Judo.
- Pekka KoskelaPekka KoskelaPekka Koskela is a Finnish speedskater, specialising on the sprint distances 500-m and 1000-m. He is the former world record holder on the 1000-m with the time 1.07.00. In December 2001 he set a junior world record on the 500-m with the time 35.89...
skated the 1000 metres in 1:07:00 (67 seconds) on 10 November 2007, a world recordWorld record progression 1,000 m speed skating menThe World record progression 1,000 m speed skating men as recognised by the International Skating Union:-See also:* List of speed skating records* World record progression 500 m speed skating men* World record progression 1,000 m speed skating men...
at the time.
External links
- A short journey involving 67s:
- http://www.dr-mikes-maths.com/psv/index.html