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Old page wikitext, before the edit (old_wikitext ) | '{{Infobox number
| number = 37
| factorization = [[prime number|prime]]
| prime = 12th
| divisor = 1, 37
}}
'''37''' ('''thirty-seven''') is the [[natural number]] following [[36 (number)|36]] and preceding [[38 (number)|38]].
==In mathematics==
*Thirty-seven is the 12th [[prime number]], a [[permutable prime]] with [[73 (number)|73]] (which is the 21st prime number). 37 is the fifth [[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=2016-05-31}}</ref> the first [[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=2016-05-31}}</ref> the third [[unique prime]]<ref>{{Cite web|url=https://oeis.org/A040017|title=Sloane's A040017 : Unique period primes|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-31}}</ref> and the third [[cuban prime]] of the form<ref>{{Cite web|url=https://oeis.org/A002407|title=Sloane's A002407 : Cuban primes|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-31}}</ref>
:<math>
p = \frac{x^3 - y^3}{x - y} \qquad \left(x = y + 1\right).
</math>
*37 is the smallest prime that is not also a [[supersingular prime (moonshine theory)|supersingular prime]].
*It is a [[centered hexagonal number]]<ref>{{Cite web|url=https://oeis.org/A003215|title=Sloane's A003215 : Hex (or centered hexagonal) numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-31}}</ref> and a [[star number]].<ref>{{Cite web|url=https://oeis.org/A003154|title=Sloane's A003154 : Centered 12-gonal numbers. Also star numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-31}}</ref>
*37 and [[38 (number)|38]] are the first pair of consecutive positive integers not divisible by any of their digits.
*Every positive integer is the sum of at most 37 fifth powers (see [[Waring's problem]]).<ref>{{Cite web|last=Weisstein|first=Eric W.|title=Waring's Problem|url=https://mathworld.wolfram.com/WaringsProblem.html|access-date=2020-08-21|website=mathworld.wolfram.com|language=en}}</ref>
*37 appears in the [[Padovan sequence]], preceded by the terms 16, 21, and 28 (it is the sum of the first two of these).<ref>{{Cite web|url=https://oeis.org/A000931|title=Sloane's A000931 : Padovan sequence|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-31}}</ref>
*Since the greatest [[prime factor]] of 37<sup>2</sup> + 1 = 1370 is 137, which is substantially more than 37 twice, 37 is a [[Størmer number]].<ref>{{Cite web|url=https://oeis.org/A005528|title=Sloane's A005528 : Størmer numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-31}}</ref>
*The reverse of 37 ([[73 (number)|73]]) and 37 + 37 ([[74 (number)|74]]) are adjacent.
*If a three digit number is divisible with 37, another number divisible by 37 can be generated by transferring first digit at the end of a number. For example: 37|814 and 37|148.<ref>{{Cite journal|last=Vukosav|first=Milica|date=2012-03-13|title=NEKA SVOJSTVA BROJA 37|url=https://hrcak.srce.hr/81042|journal=Matka : časopis za mlade matematičare|language=hr|volume=20|issue=79|pages=164|issn=1330-1047}}</ref>
==In science==
* The [[atomic number]] of [[rubidium]]
* The normal [[human body temperature]] in degrees [[Celsius]]
===Astronomy===
* [[Messier object]] [[Messier 37|M37]], a [[apparent magnitude|magnitude]] 6.0 [[open cluster]] in the [[constellation]] [[Auriga (constellation)|Auriga]]
* The [[New General Catalogue]] object [[NGC 37]], a [[spiral galaxy]] in the constellation [[Phoenix (constellation)|Phoenix]]
* [[Kepler-37b]] is the smallest known planet.
* [[NGC 2169]] is known as the 37 Cluster, due to its resemblance of the numerals.
==In sports==
[[José María López]] used this number during his successful years in the [[World Touring Car Championship]] from [[2014 World Touring Car Championship|2014]] until [[2016 World Touring Car Championship|2016]]. He still uses this number in [[Formula E]] since joining in [[2016-17 Formula E season|2016-17 season]] with [[DS Virgin Racing]].
==In other fields==
[[File:Huisnummer Hertog.jpg|thumb|100px|House number in [[Baarle-Hertog|Baarle]] (in its Belgian part)]]
'''Thirty-seven''' is:
* The number of the French department [[Indre-et-Loire]]<ref>{{Cite web|url=http://www.map-france.com/department-Indre-et-Loire/|title=INDRE-ET-LOIRE : map, cities and data of the departement of Indre-et-Loire 37|website=www.map-france.com|access-date=2019-12-21}}</ref>
* The number of slots in European [[roulette]] (numbered 0 to 36, the 00 is not used in European roulette as it is in American roulette)
* The number of [[Nat (spirit)|Great Nats]] traditionally worshiped in Burma
* The [[RSA_(cryptosystem)|RSA]] public exponent used by [[PuTTY]]
* +37 was the [[international dialing code]] of the German Democratic Republic (aka [[East Germany]]). Today the +37 prefix is shared by [[Lithuania]] (+370), [[Latvia]] (+371), [[Estonia]] (+372), [[Moldova]] (+373), [[Armenia]] (+374), [[Belarus]] (+375), [[Andorra]] (+376), [[Monaco]] (+377), [[San Marino]] (+378) and [[Vatican City]] (+379).
* The number of seconds of church-bell and thunderstorm recording before the opening [[tritone]] riff in the song "[[Black Sabbath (song)|Black Sabbath]]" on the album ''[[Black Sabbath (album)|Black Sabbath]]'' by the band [[Black Sabbath]], which is considered to mark the birth of [[heavy metal music]].
==See also==
* [[List of highways numbered 37]]
* [[Number Thirty-Seven, Pennsylvania]], unincorporated community in Cambria County, Pennsylvania
* [[I37 (disambiguation)]]
==References==
{{reflist}}
==External links==
{{Commons category}}
*[http://thirty-seven.org 37 Heaven] Large collection of facts and links about this number.
{{Integers|zero}}
[[Category:Integers]]' |
New page wikitext, after the edit (new_wikitext ) | '{{Infobox number
| number = 38
38
| factorization = [[prime number|prime]]
| prime = 12th
| divisor = 1, 37
}}
'''37''' ('''thirty-seven''') is the [[natural number]] following [[36 (number)|36]] and preceding [[38 (number)|38]].
==In mathematics==
*Thirty-seven is the 12th [[prime number]], a [[permutable prime]] with [[73 (number)|73]] (which is the 21st prime number). 37 is the fifth [[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=2016-05-31}}</ref> the first [[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=2016-05-31}}</ref> the third [[unique prime]]<ref>{{Cite web|url=https://oeis.org/A040017|title=Sloane's A040017 : Unique period primes|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-31}}</ref> and the third [[cuban prime]] of the form<ref>{{Cite web|url=https://oeis.org/A002407|title=Sloane's A002407 : Cuban primes|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-31}}</ref>
:<math>
p = \frac{x^3 - y^3}{x - y} \qquad \left(x = y + 1\right).
</math>
*37 is the smallest prime that is not also a [[supersingular prime (moonshine theory)|supersingular prime]].
*It is a [[centered hexagonal number]]<ref>{{Cite web|url=https://oeis.org/A003215|title=Sloane's A003215 : Hex (or centered hexagonal) numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-31}}</ref> and a [[star number]].<ref>{{Cite web|url=https://oeis.org/A003154|title=Sloane's A003154 : Centered 12-gonal numbers. Also star numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-31}}</ref>
*37 and [[38 (number)|38]] are the first pair of consecutive positive integers not divisible by any of their digits.
*Every positive integer is the sum of at most 37 fifth powers (see [[Waring's problem]]).<ref>{{Cite web|last=Weisstein|first=Eric W.|title=Waring's Problem|url=https://mathworld.wolfram.com/WaringsProblem.html|access-date=2020-08-21|website=mathworld.wolfram.com|language=en}}</ref>
*37 appears in the [[Padovan sequence]], preceded by the terms 16, 21, and 28 (it is the sum of the first two of these).<ref>{{Cite web|url=https://oeis.org/A000931|title=Sloane's A000931 : Padovan sequence|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-31}}</ref>
*Since the greatest [[prime factor]] of 37<sup>2</sup> + 1 = 1370 is 137, which is substantially more than 37 twice, 37 is a [[Størmer number]].<ref>{{Cite web|url=https://oeis.org/A005528|title=Sloane's A005528 : Størmer numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-31}}</ref>
*The reverse of 37 ([[73 (number)|73]]) and 37 + 37 ([[74 (number)|74]]) are adjacent.
*If a three digit number is divisible with 37, another number divisible by 37 can be generated by transferring first digit at the end of a number. For example: 37|814 and 37|148.<ref>{{Cite journal|last=Vukosav|first=Milica|date=2012-03-13|title=NEKA SVOJSTVA BROJA 37|url=https://hrcak.srce.hr/81042|journal=Matka : časopis za mlade matematičare|language=hr|volume=20|issue=79|pages=164|issn=1330-1047}}</ref>
==In science==
* The [[atomic number]] of [[rubidium]]
* The normal [[human body temperature]] in degrees [[Celsius]]
===Astronomy===
* [[Messier object]] [[Messier 37|M37]], a [[apparent magnitude|magnitude]] 6.0 [[open cluster]] in the [[constellation]] [[Auriga (constellation)|Auriga]]
* The [[New General Catalogue]] object [[NGC 37]], a [[spiral galaxy]] in the constellation [[Phoenix (constellation)|Phoenix]]
* [[Kepler-37b]] is the smallest known planet.
* [[NGC 2169]] is known as the 37 Cluster, due to its resemblance of the numerals.
==In sports==
[[José María López]] used this number during his successful years in the [[World Touring Car Championship]] from [[2014 World Touring Car Championship|2014]] until [[2016 World Touring Car Championship|2016]]. He still uses this number in [[Formula E]] since joining in [[2016-17 Formula E season|2016-17 season]] with [[DS Virgin Racing]].
==In other fields==
[[File:Huisnummer Hertog.jpg|thumb|100px|House number in [[Baarle-Hertog|Baarle]] (in its Belgian part)]]
'''Thirty-seven''' is:
* The number of the French department [[Indre-et-Loire]]<ref>{{Cite web|url=http://www.map-france.com/department-Indre-et-Loire/|title=INDRE-ET-LOIRE : map, cities and data of the departement of Indre-et-Loire 37|website=www.map-france.com|access-date=2019-12-21}}</ref>
* The number of slots in European [[roulette]] (numbered 0 to 36, the 00 is not used in European roulette as it is in American roulette)
* The number of [[Nat (spirit)|Great Nats]] traditionally worshiped in Burma
* The [[RSA_(cryptosystem)|RSA]] public exponent used by [[PuTTY]]
* +37 was the [[international dialing code]] of the German Democratic Republic (aka [[East Germany]]). Today the +37 prefix is shared by [[Lithuania]] (+370), [[Latvia]] (+371), [[Estonia]] (+372), [[Moldova]] (+373), [[Armenia]] (+374), [[Belarus]] (+375), [[Andorra]] (+376), [[Monaco]] (+377), [[San Marino]] (+378) and [[Vatican City]] (+379).
* The number of seconds of church-bell and thunderstorm recording before the opening [[tritone]] riff in the song "[[Black Sabbath (song)|Black Sabbath]]" on the album ''[[Black Sabbath (album)|Black Sabbath]]'' by the band [[Black Sabbath]], which is considered to mark the birth of [[heavy metal music]].
==See also==
* [[List of highways numbered 37]]
* [[Number Thirty-Seven, Pennsylvania]], unincorporated community in Cambria County, Pennsylvania
* [[I37 (disambiguation)]]
==References==
{{reflist}}
==External links==
{{Commons category}}
*[http://thirty-seven.org 37 Heaven] Large collection of facts and links about this number.
{{Integers|zero}}
[[Category:Integers]]' |
Unified diff of changes made by edit (edit_diff ) | '@@ -1,4 +1,18 @@
{{Infobox number
-| number = 37
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| factorization = [[prime number|prime]]
| prime = 12th
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Whether or not the change was made through a Tor exit node (tor_exit_node ) | false |
Unix timestamp of change (timestamp ) | 1620946485 |