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{{Infobox number
| number = 5000
| unicode = {{Overline|V}}, {{Overline|v}}, {{unicode|ↁ}}
}}
'''5000'''  ('''five thousand''') is the [[natural number]] following 4999 and preceding 5001. Five thousand is the largest [[isogram]]mic number in the [[English language]].


{{Wiktionary|five thousand}}


==Selected numbers in the range 5001–5999==
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* '''5003''' – [[Sophie Germain prime]]
* '''5020''' – [[amicable number]] with 5564
* '''5039''' – [[factorial prime]], Sophie Germain prime
* '''[[5040 (number)|5040]]''' – 7!, [[superior highly composite number]]
* '''5041''' – <math>71^2</math>, [[centered octagonal number]]
* '''5050''' – [[triangular number]], [[Kaprekar number]], sum of first 100 integers
* '''5051''' – Sophie Germain prime
* '''5076''' – [[decagonal number]]
* '''5081''' – Sophie Germain prime
* '''5087''' – [[safe prime]]
* '''5099''' – safe prime
* '''5107''' – [[balanced prime]]
* '''5113''' – balanced prime
* '''5151''' – triangular number
* '''5167''' – [[cuban prime]] of the form ''x'' = ''y'' + 1
* '''5171''' – Sophie Germain prime
* '''5184''' – <math>72^2</math>
* '''5186''' – φ(5186) = 2592
* '''5187''' – φ(5187) = 2592
* '''5188''' – φ(5189) = 2592, [[centered heptagonal number]]
* '''5226''' – [[nonagonal number]]
* '''5231''' – Sophie Germain prime
* '''5244''' – <math>22^2 + 23^2 + \cdots + 29^2 = 20^2 + 21^2 + \cdots + 28^2</math>
* '''5249''' – [[highly cototient number]]
* '''5253''' – triangular number
* '''5279''' – Sophie Germain prime
* '''5280''' is the number of feet in a mile. It is evenly divisible by three, yielding exactly 1760 [[yard]]s per mile and by 16.5, yielding exactly 320 [[Rod (unit)|rods]] per mile.
* '''5280''' is connected with both Klein's [[J-invariant]] and the [[Heegner number]]s. Specifically
:<math>
5280 = -\sqrt[3]{j\left( {\scriptstyle\frac{1}{2}} \left( 1 + i\sqrt{67}\, \right)\right) }.
</math>
* '''5292''' – Kaprekar number
* '''5303''' – Sophie Germain prime, balanced prime
* '''5329''' – <math>73^2</math>, centered octagonal number
* '''5333''' – Sophie Germain prime
* '''5335''' – [[magic constant]] of ''n''&times;''n'' normal [[magic square]] and [[Eight queens puzzle|''n''-queens problem]] for ''n'' = 22.
* '''5340''' – [[octahedral number]]
* '''5356''' – triangular number
* '''5365''' – decagonal number
* '''5387''' – safe prime, balanced prime
* '''5392''' – [[Leyland number]]
* '''5393''' – balanced prime
* '''5399''' – Sophie Germain prime, safe prime
* '''5405''' – member of a [[Ruth–Aaron pair]] with 5406 (either definition)
* '''5406''' – member of a [[Ruth–Aaron pair]] with 5405 (either definition)
* '''5419''' – Cuban prime of the form ''x'' = ''y'' + 1
* '''5441''' – Sophie Germain prime
* '''5456''' – [[tetrahedral number]]
* '''5459''' – highly cototient number
* '''5460''' – triangular number
* '''5461''' – [[super-Poulet number]], centered heptagonal number
* '''5476''' – <math>74^2</math>
* '''5483''' – safe prime
* '''5500''' – nonagonal number
* '''5501''' – Sophie Germain prime
* '''5507''' – safe prime
* '''5525''' – [[square pyramidal number]]
* '''5536''' – [[tetranacci number]]
* '''5563''' – balanced prime
* '''5564''' – amicable number with 5020
* '''5565''' – triangular number
* '''5566''' – [[pentagonal pyramidal number]]
* '''5571''' – [[perfect totient number]]
* '''5625''' – <math>75^2</math>, centered octagonal number
* '''5639''' – Sophie Germain prime, safe prime
* '''5662''' – decagonal number
* '''5671''' – triangular number
* '''5711''' – Sophie Germain prime
* '''5719''' – [[Zeisel number]], [[Lucas–Carmichael number]]
* '''5741''' – Sophie Germain prime, [[Pell number]], [[Markov number]], centered heptagonal number
* '''5768''' – [[tribonacci number]]
* '''5776''' – <math>76^2</math>
* '''5777''' – smallest counterexample to the conjecture that all odd numbers are of the form <math>p + 2a^2</math>
* '''5778''' – triangular number
* '''5781''' – nonagonal number
* '''5798''' – [[Motzkin number]]
* '''5807''' – safe prime, balanced prime
* '''5832''' – 18<sup>3</sup>
* '''5849''' – Sophie Germain prime
* '''5879''' – safe prime, highly cototient number
* '''5886''' – triangular number
* '''5903''' – Sophie Germain prime
* '''5913''' – sum of the first seven factorials
* '''5927''' – safe prime
* '''5929''' – <math>77^2</math>, centered octagonal number
* '''5939''' – safe prime
* '''5967''' – decagonal number
* '''5984''' – tetrahedral number
* '''5995''' – triangular number
 
{{DEFAULTSORT:5000 (Number)}}
[[Category:Integers|59e03 5000]]

Revision as of 19:59, 4 March 2014


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