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{{Redirect|7,000|other uses|7000 (disambiguation)}}
{{Refimprove|date=June 2016}}
{{Infobox number
| number = 7000
| roman = {{Overline|V}}MM, or {{Overline|VII}}
| unicode = {{Overline|V}}MM, {{Overline|v}}mm, {{Overline|VII}}, {{Overline|vii}}
|lang1=[[Armenian numerals|Armenian]]|lang1 symbol=Ւ}}
'''7000''' ('''seven thousand''') is the [[natural number]] following 6999 and preceding 7001.

==Selected numbers in the range 7001–7999==

===7001 to 7099===
* '''7021''' – [[triangular number]]
* '''7043''' – [[Sophie Germain prime]]
* '''7056''' = 842
* '''7057''' – [[cuban prime]] of the form ''x'' = ''y'' + 1,<ref name=":0">{{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=2016-06-14}}</ref> [[super-prime]]
* '''7073''' – [[Leyland number]]<ref>{{Cite web|url=https://oeis.org/A076980|title=Sloane's A076980 : Leyland numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-06-14}}</ref>
* '''7079''' – Sophie Germain prime, [[safe prime]]

===7100 to 7199===
* '''7103''' – Sophie Germain prime, [[sexy prime]] with 7109
* '''7106''' – [[octahedral number]]<ref>{{Cite web|url=https://oeis.org/A005900|title=Sloane's A005900 : Octahedral numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-06-14}}</ref>
* '''7109''' – [[super-prime]], sexy prime with 7103
* '''7121''' – Sophie Germain prime
* '''7140''' – triangular number, also a [[pronic number]] and hence {{sfrac|7140|2}} = 3570 is also a triangular number, [[tetrahedral number]]<ref name=":1">{{Cite web|url=https://oeis.org/A000292|title=Sloane's A000292 : Tetrahedral numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-06-14}}</ref>
* '''7141''' - sum of the first 58 primes, [[star number]]
* '''7151''' – Sophie Germain prime
* '''7155''' – number of 19-bead necklaces (turning over is allowed) where complements are equivalent<ref>{{cite OEIS|A000011|Number of n-bead necklaces (turning over is allowed) where complements are equivalent}}</ref>
* '''7187''' – safe prime
* '''7192''' – [[weird number]]<ref name=":2">{{Cite web|url=https://oeis.org/A006037|title=Sloane's A006037 : Weird numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-06-14}}</ref>
* '''7193''' – Sophie Germain prime, [[super-prime]]

===7200 to 7299===
* '''7200''' – [[pentagonal pyramidal number]]<ref>{{Cite web|url=https://oeis.org/A002411|title=Sloane's A002411 : Pentagonal pyramidal numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-06-14}}</ref>
* '''7211''' – Sophie Germain prime
* '''7225''' = 852, [[centered octagonal number]]<ref name=":3">{{Cite web|url=https://oeis.org/A016754|title=Sloane's A016754 : Odd squares: a(n) = (2n+1)^2. Also centered octagonal numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-06-14}}</ref>
* '''7230''' = 362 + 372 + 382 + 392 + 402 = 412 + 422 + 432 + 442
* '''7246''' – [[centered heptagonal number]]<ref>{{Cite web|url=https://oeis.org/A069099|title=Sloane's A069099 : Centered heptagonal numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-06-14}}</ref>
* '''7247''' – safe prime
* '''7260''' – triangular number
* '''7267''' – [[decagonal number]]<ref name=":4">{{Cite web|url=https://oeis.org/A001107|title=Sloane's A001107 : 10-gonal (or decagonal) numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-06-14}}</ref>
* '''7272''' – [[Kaprekar number]]<ref name=":5">{{Cite web|url=https://oeis.org/A006886|title=Sloane's A006886 : Kaprekar numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-06-14}}</ref>
* '''7283''' – [[super-prime]]
* '''7291''' – [[nonagonal number]]

===7300 to 7399===
* '''7310''' - [[pronic number]]
* '''7316''' – number of 18-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed<ref>{{cite OEIS|A000013|Definition (1): Number of n-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed}}</ref>
* '''7338''' – Fine number.<ref>{{cite OEIS|A000957|Fine's sequence (or Fine numbers): number of relations of valence > 0 on an n-set; also number of ordered rooted trees with n edges having root of even degree|access-date=2022-06-01}}</ref>
* '''7349''' – Sophie Germain prime
* '''7351''' – [[super-prime]], cuban prime of the form ''x'' = ''y'' + 1<ref name=":0" />
* '''7381''' – triangular number
* '''7385''' – [[Keith number]]<ref name=":6">{{Cite web|url=https://oeis.org/A007629|title=Sloane's A007629 : Repfigit (REPetitive FIbonacci-like diGIT) numbers (or Keith numbers)|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-06-14}}</ref>
* '''7396''' = 862

===7400 to 7499===
* '''7417''' – [[super-prime]]
* '''7418''' - sum of the first 59 primes
* '''7433''' – Sophie Germain prime
* '''7471''' – [[centered cube number]]<ref>{{Cite web|url=https://oeis.org/A005898|title=Sloane's A005898 : Centered cube numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-06-14}}</ref>
* '''7481''' – super-prime, cousin prime
* '''7482''' - [[pronic number]]

===7500 to 7599===
* '''7503''' – triangular number
* '''7523''' – [[balanced prime]], safe prime, [[super-prime]]
* '''7537''' – prime of the form 2p-1
* '''7541''' – Sophie Germain prime
* '''7559''' – safe prime
* '''7560''' – the 20th [[highly composite number]]<ref>{{Cite web|url=https://oeis.org/A002182|title=Sloane's A002182 : Highly composite numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-06-14}}</ref>
* '''7561''' – [[Markov prime]],<ref>{{Cite web|url=https://oeis.org/A002559|title=Sloane's A002559 : Markoff (or Markov) numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-06-14}}</ref> [[star prime]]
* '''7568''' – centered heptagonal number
* '''7569''' = 872, centered octagonal number<ref name=":3" />
* '''7583''' – balanced prime

===7600 to 7699===
* '''7607''' – safe prime, [[super-prime]]
* '''7612''' – decagonal number<ref name=":4" />
* '''7614''' – nonagonal number
* '''7626''' – triangular number
* '''7643''' – Sophie Germain prime, safe prime
* '''7647''' – Keith number<ref name=":6" />
* '''7649''' – Sophie Germain prime, [[super-prime]]
* '''7656''' - [[pronic number]]
* '''7691''' – Sophie Germain prime
* '''7699''' – [[super-prime]], [[emirp]], sum of the first 60 primes, first prime above 281 to be the sum of the first k primes for some k

===7700 to 7799===
* '''7703''' – safe prime
* '''7710''' = number of primitive polynomials of degree 17 over GF(2)<ref>{{cite OEIS|A011260|Number of primitive polynomials of degree n over GF(2)}}</ref>
* '''7714''' – [[square pyramidal number]]<ref>{{Cite web|url=https://oeis.org/A000330|title=Sloane's A000330 : Square pyramidal numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-06-14}}</ref>
* '''7727''' – safe prime
* '''7739''' – member of the [[Padovan sequence]]<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=2016-06-11}}</ref>
* '''7741''' = number of trees with 15 unlabeled nodes<ref>{{cite OEIS|A000055|Number of trees with n unlabeled nodes}}</ref>
* '''[[7744 (number)|7744]]''' = 882, square palindrome not ending in 0
* '''7750''' – triangular number
* '''7753''' – [[super-prime]]
* '''7770''' – tetrahedral number<ref name=":1" />
* '''7776''' = 65, number of primitive polynomials of degree 18 over GF(2)<ref>{{cite OEIS|A011260|Number of primitive polynomials of degree n over GF(2)}}</ref>
* '''7777''' – Kaprekar number,<ref name=":5" /> [[repdigit]]<ref>{{cite oeis|A010785|Repdigit numbers, or numbers whose digits are all equal}}</ref>

===7800 to 7899===
* '''7810''' – [[ISO/IEC 7810]] is the [[International Organization for Standardization|ISO]]'s standard for physical characteristics of identification cards
* '''7821''' – n=6 value of <math>\sum_{k=1}^{n}n^{floor(\frac{n}{k})-1}</math>
* '''7823''' – Sophie Germain prime, safe prime, balanced prime
* '''[[7825 (number)|7825]]''' – [[magic constant]] of ''n'' × ''n'' normal [[magic square]] and [[Eight queens puzzle|n-Queens Problem]] for ''n'' = 25. Also the first counterexample in the [[Boolean Pythagorean triples problem]].
* '''7832''' - [[pronic number]]
* '''7841''' – Sophie Germain prime, balanced prime, [[super-prime]]
* '''7875''' – triangular number
* '''7883''' – Sophie Germain prime, super-prime
* '''7897''' – centered heptagonal number

===7900 to 7999===
* '''7901''' – Sophie Germain prime
* '''7909''' – Keith number<ref name=":6" />
* '''7912''' – weird number<ref name=":2" />
* '''7919''' – 1000th prime number<ref>{{cite web|title=7919|url=https://primes.utm.edu/curios/page.php/7919.html|website=The Prime Pages|publisher=[[University of Tennessee]]|access-date=April 25, 2017}}</ref>
* '''7920''' – the order of the [[Mathieu group]] M11, the smallest [[sporadic simple group]]
* '''7921''' = 892, centered octagonal number
* '''7944''' – nonagonal number
* '''7957''' – [[super-Poulet number]]<ref>{{Cite web|url=https://oeis.org/A050217|title=Sloane's A050217 : Super-Poulet numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-06-14}}</ref>
* '''7965''' – decagonal number<ref name=":4" />
* '''7979''' – [[highly cototient number]]
* '''7982''' - sum of the first 61 primes
* '''7993''' - [[star prime]], reverse superstar prime

===Prime numbers===
There are 107 [[prime number]]s between 7000 and 8000:<ref>{{Cite OEIS|A038823|Number of primes between n*1000 and (n+1)*1000}}</ref><ref>{{cite web |last=Stein |first=William A. |author-link=William A. Stein |title=The Riemann Hypothesis and The Birch and Swinnerton-Dyer Conjecture |url=https://wstein.org/talks/2017-02-10-wing-rh_and_bsd/ |website=wstein.org |date=10 February 2017 |access-date=6 February 2021}}</ref>
:7001, 7013, 7019, 7027, 7039, 7043, 7057, 7069, 7079, 7103, 7109, 7121, 7127, 7129, 7151, 7159, 7177, 7187, 7193, 7207, 7211, 7213, 7219, 7229, 7237, 7243, 7247, 7253, 7283, 7297, 7307, 7309, 7321, 7331, 7333, 7349, 7351, 7369, 7393, 7411, 7417, 7433, 7451, 7457, 7459, 7477, 7481, 7487, 7489, 7499, 7507, 7517, 7523, 7529, 7537, 7541, 7547, 7549, 7559, 7561, 7573, 7577, 7583, 7589, 7591, 7603, 7607, 7621, 7639, 7643, 7649, 7669, 7673, 7681, 7687, 7691, 7699, 7703, 7717, 7723, 7727, 7741, 7753, 7757, 7759, 7789, 7793, 7817, 7823, 7829, 7841, 7853, 7867, 7873, 7877, 7879, 7883, 7901, 7907, 7919, 7927, 7933, 7937, 7949, 7951, 7963, 7993

==References==
{{Reflist|30em}}

{{Integers|10}}

[[Category:Integers]]

7000 (number) - Revision history

>Bbb23: revert sock