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{{Number|number = 67
{{Infobox number
| range = 60s
| number = 67
| cardinal = sixty-seven
| ordinal = th
| ordinal text =
| numeral =
| factorization = [[prime number|prime]]
| factorization = [[prime number|prime]]
| prime =
| prime = 19th
| divisor = 1, 67
| divisor = 1, 67
| unicode =
| greek prefix =
| latin prefix =
| misc =
}}
}}
'''67''' ('''sixty-seven''') is the [[natural number]] following [[66 (number)|66]] and preceding [[68 (number)|68]]. It is an [[Parity (mathematics)|odd number.]]
'''67''' ('''sixty-seven''') is the [[natural number]] following [[66 (number)|66]] and preceding [[68 (number)|68]]. It is an [[Parity (mathematics)|odd number.]]


==In mathematics==
==In mathematics==
'''67''' is:
'''Sixty-seven''' is the 19th [[prime number]] (the next is [[71 (number)|71]]), an [[irregular prime]], a [[lucky prime]], and the sum of five consecutive primes (7 + 11 + 13 + 17 + 19).
It is a [[discriminant]] to the [[Heegner number]] -67.


*the 19th [[prime number]] (the next is [[71 (number)|71]]).
Since 18! + 1 is divisible by 67 but 67 is not one more than a multiple of 18, 67 is a [[Pillai prime]].
* a [[Chen prime]].<ref>{{Cite web|url=https://oeis.org/A109611|title=Sloane's A109611: Chen primes|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2021-01-08}}</ref>

*an [[irregular prime]].<ref>{{Cite web|url=https://oeis.org/A000928|title=Sloane's A000928 : Irregular primes|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-29}}</ref>
In a [[Voronoi diagram]] created using points from the [[prime spiral]], no prime less than 10242 will have a rounder Voronoi cell than 67.
*a [[lucky prime]].<ref>{{Cite web|url=https://oeis.org/A031157|title=Sloane's A031157 : Numbers that are both lucky and prime|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-29}}</ref>
*the sum of five consecutive primes (7 + 11 + 13 + 17 + 19).
*a [[Heegner number]].<ref>{{Cite web|url=https://oeis.org/A003173|title=Sloane's A003173 : Heegner numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-29}}</ref>
*a [[Pillai prime]] since 18! + 1 is divisible by 67, but 67 is not one more than a multiple of 18.<ref>{{Cite web|url=https://oeis.org/A063980|title=Sloane's A063980 : Pillai primes|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-29}}</ref>
*palindromic in [[quinary]] (232<sub>5</sub>) and [[senary]] (151<sub>6</sub>).
*a super-prime. (19 is prime)
*an isolated prime. (65 and 69 are not prime)
*a [[sexy prime]] with 61 and 73


==In science==
==In science==
*The [[atomic number]] of [[holmium]], a lanthanide
*The [[atomic number]] of [[holmium]], a lanthanide.


===Astronomy===
===Astronomy===
*[[Messier object]] [[Messier 67|M67]], a [[visual magnitude|magnitude]] 7.5 [[open cluster]] in the [[constellation]] [[Cancer (constellation)|Cancer]]
*[[Messier object]] [[Messier 67|M67]], a [[visual magnitude|magnitude]] 7.5 [[open cluster]] in the [[constellation]] [[Cancer (constellation)|Cancer]].
*The [[New General Catalogue]] object [[NGC 67]], an [[elliptical galaxy]] in the constellation [[Andromeda (constellation)|Andromeda]]
*The [[New General Catalogue]] object [[NGC 67]], an [[elliptical galaxy]] in the constellation [[Andromeda (constellation)|Andromeda]].
*The [[Saros]] number of the [[solar eclipse]] series which began on [[-727]] [[February 20]] and ended on [[571]] [[April 10]]. The duration of Saros series 67 was 1298.1 years, and it contained 73 solar eclipses. The Saros number of the [[lunar eclipse]] series which began on [[-660]] [[July 1]] and ended on [[656]] [[September 9]]. The duration of Saros series 67 was 1316.2 years, and it contained 74 lunar eclipses.


==Other fields==
==In music==

* "[[Car 67]]", a song by the band Driver 67
⚫
* [[Chicago (band)|Chicago]]'s song "[[Questions 67 and 68]]"
⚫
* [[Elton John]]'s song "[[Old '67]]" on ''[[The Captain & The Kid]]'' CD, (2006)
* British rap group called [[67 (rap group)|67]]
* Rapper [[Drake (entertainer)|Drake]] released the song named "[[Star67]]" off his album ''[[If You're Reading This It's Too Late]]''

==In other fields==
{{seealso|List of highways numbered 67}}
'''Sixty-seven''' is:
'''Sixty-seven''' is:
*The registry of the U.S. Navy's aircraft carrier [[USS John F. Kennedy (CV-67)]], named after U.S. President [[John F. Kennedy]]
*The registry of the U.S. Navy's aircraft carrier {{USS|John F. Kennedy|CV-67}}, named after U.S. President [[John F. Kennedy]].
*The number of the [[European route E67]], the Via Baltica from [[Prague]] to [[Helsinki]]
*The number of the French department [[Bas-Rhin]].
*The number of the French department [[Bas-Rhin]]
*The number of counties in [[Alabama]], [[Florida]], and [[Pennsylvania]].
*The province/traffic code of [[Zonguldak Province]] in Turkey.
⚫
* [[Chicago]]'s song [[Questions 67 and 68]]
*In the U.S., *67 is a common prefix-code for blocking [[caller ID]] info on the subsequent call.
⚫
* [[Elton John]]'s song "[[Old '67]]" on [[The Captain & The Kid]] CD, ([[2006]])
*The number of counties in [[Florida]]
*The number of counties in [[Alabama]]
*The number of counties in [[Pennsylvania]]
*The highest two digit number not presently designating any highway in the [[Interstate Highway System]] of the [[United States]].


==In sports==
==In sports==


* [[Buddy Arrington]]'s best-known [[NASCAR]] car number
* [[Buddy Arrington]]'s best-known [[NASCAR]] car number.
* The [[Ottawa 67's]], founded in [[1967]]
* The [[Ottawa 67's]], founded in 1967.
* [[Pekka Koskela]] [[Speed skating|skated]] the 1000 metres in 1:07:00 (67 seconds) on 10 November 2007, a [[World record progression 1000 m speed skating men|world record]] at the time.
* [[Fred Davis (snooker player)|Fred Davis]], an English billiards player won the World [[Billiards]] Championship aged 67
* The number of the laps of the [[German Grand Prix]] since [[2002 German Grand Prix|2002]] if the race was held at [[Hockenheimring]].
* [[New England Patriots]] [[Dan Koppen]] wears #67
* [[Minnesota Wild]] [[Benoit Pouliot]] wears #67

==Historical years==
'''[[67|67 A.D.]]''', [[67 BC|67 B.C.]], [[1967]], [[2067]], etc.


== External links ==
== External links ==
{{Commons category}}


== References ==
* A short journey involving 67s:
{{Reflist}}
* http://www.dr-mikes-maths.com/psv/index.html
{{Integers|zero}}


{{DEFAULTSORT:67 (Number)}}
[[Category:Integers]]
[[Category:Integers]]

[[ca:Seixanta-set]]
[[cv:67 (хисеп)]]
[[co:67 (numeru)]]
[[es:Sesenta y siete]]
[[eo:Sesdek sep]]
[[eu:Hirurogeita zazpi]]
[[fr:67 (nombre)]]
[[gan:67]]
[[ko:67]]
[[ia:67 (numero)]]
[[it:67 (numero)]]
[[ht:67 (nonm)]]
[[lt:67 (skaičius)]]
[[hu:67 (szám)]]
[[ms:67 (nombor)]]
[[nl:67 (getal)]]
[[ja:67]]
[[no:67 (tall)]]
[[uz:67 (son)]]
[[pl:67 (liczba)]]
[[pt:Sessenta e sete]]
[[ru:67 (число)]]
[[simple:Sixty-seven]]
[[sl:67 (število)]]
[[sv:67 (tal)]]
[[th:67]]
[[vi:67 (số)]]
[[zh-yue:67]]
[[zh:67]]

Latest revision as of 14:16, 3 April 2024

← 66 67 68 →
Cardinalsixty-seven
Ordinal67th
(sixty-seventh)
Factorizationprime
Prime19th
Divisors1, 67
Greek numeralΞΖ´
Roman numeralLXVII
Binary10000112
Ternary21113
Senary1516
Octal1038
Duodecimal5712
Hexadecimal4316

67 (sixty-seven) is the natural number following 66 and preceding 68. It is an odd number.

In mathematics[edit]

67 is:

In science[edit]

Astronomy[edit]

In music[edit]

In other fields[edit]

See also: List of highways numbered 67

Sixty-seven is:

In sports[edit]

External links[edit]

Wikimedia Commons has media related to 67 (number).

References[edit]

  1. ^ "Sloane's A109611: Chen primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2021-01-08.
  2. ^ "Sloane's A000928 : Irregular primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
  3. ^ "Sloane's A031157 : Numbers that are both lucky and prime". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
  4. ^ "Sloane's A003173 : Heegner numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
  5. ^ "Sloane's A063980 : Pillai primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
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