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>&nbsp;=&nbsp;''y''<sup>2</sup>(5''y''&nbsp;&minus;&nbsp;3)<sup>2</sup>&nbsp;&plusmn;&nbsp;2|journal=[[Fibonacci Quarterly]]|volume=43|issue=3|year=2005|pages=194–201}}.</ref> Also, it is the seventh [[pentagonal number]] and the fourth [[Polygonal number|triskaidecagonal number]], as well as the fifth [[pentatope number]]. It is the smallest [[weird number]].
{{Infobox number
| number = 70
| divisor = 1, 2, 5, 7, 10, 14, 35, 70
| lang1 = [[Hebrew numerals|Hebrew]]
| lang1 symbol = <span style="font-size:150%;">ע</span> (Ayin)
}}

{{Wiktionary|seventy}}

'''70''' ('''seventy''') is the [[natural number]] following [[69 (number)|69]] and preceding [[71 (number)|71]].

==In mathematics==
Its [[factorization]] makes it a [[sphenic number]]. 70 is a [[Pell number]] and a [[generalized heptagonal number]], one of only two numbers to be both.<ref>{{citation|first=B. Srinivasa|last=Rao|title=Heptagonal Numbers in the Pell Sequence and Diophantine Equations 2''x''<sup>2</sup>&nbsp;=&nbsp;''y''<sup>2</sup>(5''y''&nbsp;&minus;&nbsp;3)<sup>2</sup>&nbsp;&plusmn;&nbsp;2|journal=[[Fibonacci Quarterly]]|volume=43|issue=3|year=2005|pages=194–201}}.</ref> Also, it is the seventh [[pentagonal number]] and the fourth [[Polygonal number|triskaidecagonal number]], as well as the fifth [[pentatope number]]. It is the smallest [[weird number]].


The sum of the first twenty four squares starting from one is seventy squared. This relates seventy to the Leech lattice and thus string theory.
The sum of the first twenty four squares starting from one is seventy squared. This relates seventy to the Leech lattice and thus string theory.
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*Municipal Okrug 70, name of [[Kolomyagi Municipal Okrug]] of Primorsky District of [[Saint Petersburg]], Russia, until February 2011
*Municipal Okrug 70, name of [[Kolomyagi Municipal Okrug]] of Primorsky District of [[Saint Petersburg]], Russia, until February 2011
*In miles per hour, a common [[speed limit]] for freeways in many [[United States|American]] states, primarily in the central United States (in the Eastern U.S. the speed limit is generally 65, in the Western U.S. it is 75).
*In miles per hour, a common [[speed limit]] for freeways in many [[United States|American]] states, primarily in the central United States (in the Eastern U.S. the speed limit is generally 65, in the Western U.S. it is 75).
*In miles per hour, the [[national speed limit]] in the [[United Kingdom]] (for cars and motorcycles on the best grades of road).<ref>''The Official Highway Code'', pub. Department for Transport (Revised 2007 Edition). ISBN 978-0-11-552814-9. A white circular sign with a black diagonal stripe indicates that the national speed limit applies. This depends on the vehicle type and grade of road. The table on p.40 shows the highest speed permitted to be 70mph, for normally-laden cars and motorcycles on dual-carriageways and motorways.</ref><!-- I thought they had switched to metric?--><!-- No, there are no metric values on road signs in the UK -->
*In miles per hour, the [[national speed limit]] in the [[United Kingdom]] (for cars and motorcycles on the best grades of road).<ref>''The Official Highway Code'', pub. Department for Transport (Revised 2007 Edition). ISBN 978-0-11-552814-9. A white circular sign with a black diagonal stripe indicates that the national speed limit applies. Tr [[USS Carl Vinson (CVN-70)]], named after U.S. Representative [[Carl Vinson]].
*In years of marriage, the [[platinum]] [[wedding anniversary]]
*The [[hull classification symbol|hull number]] of the U.S. Navy's nuclear aircraft carrier [[USS Carl Vinson (CVN-70)]], named after U.S. Representative [[Carl Vinson]].
*The number of the French department [[Haute-Saône]]
*The number of the French department [[Haute-Saône]]
*Historical years: AD '''70''', [[70 BC]], or 1970.
*Historical years: AD '''70''', [[70 BC]], or 1970.

Revision as of 11:46, 8 December 2014

> = y2(5y − 3)2 ± 2|journal=Fibonacci Quarterly|volume=43|issue=3|year=2005|pages=194–201}}.</ref> Also, it is the seventh pentagonal number and the fourth triskaidecagonal number, as well as the fifth pentatope number. It is the smallest weird number.

The sum of the first twenty four squares starting from one is seventy squared. This relates seventy to the Leech lattice and thus string theory.

Since it is possible to find sequences of 70 consecutive integers such that each inner member shares a factor with either the first or the last member, 70 is an Erdős–Woods number.

In base 10, it is a Harshad number.

In science

Astronomy

In religion

In law

In sports

In other fields

70 is:

Number name

The French do not have a word for 70, instead using "soixante-dix" (60 + 10). Other French-speaking countries such as Belgium, Switzerland, Aosta Valley and Jersey do have a word for it, using "septante."[1]

Notes

  1. ^ Peter Higgins, Number Story. London: Copernicus Books (2008): 19. "Belgian French speakers however grew tired of this and introduced the new names septante, octante, nonante etc. for these numbers".