7000 (number)#7600 to 7699

{{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|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=

  • 7021triangular number
  • 7043Sophie Germain prime
  • 7056 = 842
  • 7057cuban prime of the form x = y + 1,{{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}} super-prime
  • 7073Leyland number{{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}}
  • 7079 – Sophie Germain prime, safe prime

=7100 to 7199=

  • 7103 – Sophie Germain prime, sexy prime with 7109
  • 7106octahedral number{{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}}
  • 7109super-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{{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}}
  • 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{{cite OEIS|A000011|Number of n-bead necklaces (turning over is allowed) where complements are equivalent}}
  • 7187 – safe prime
  • 7192weird number{{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}}
  • 7193 – Sophie Germain prime, super-prime

=7200 to 7299=

  • 7200pentagonal pyramidal number{{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}}
  • 7211 – Sophie Germain prime
  • 7225 = 852, centered octagonal number{{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}}
  • 7230 = 362 + 372 + 382 + 392 + 402 = 412 + 422 + 432 + 442
  • 7246centered heptagonal number{{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}}
  • 7247 – safe prime
  • 7260 – triangular number
  • 7267decagonal number{{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}}
  • 7272Kaprekar number{{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}}
  • 7283super-prime
  • 7291nonagonal 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{{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}}
  • 7338 – Fine number.{{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}}
  • 7349 – Sophie Germain prime
  • 7351super-prime, cuban prime of the form x = y + 1
  • 7381 – triangular number
  • 7385Keith number{{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}}
  • 7396 = 862

=7400 to 7499=

  • 7417super-prime
  • 7418 - sum of the first 59 primes
  • 7433 – Sophie Germain prime
  • 7471centered cube number{{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}}
  • 7481 – super-prime, cousin prime
  • 7482 - pronic number

=7500 to 7599=

  • 7503 – triangular number
  • 7523balanced 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{{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}}
  • 7561Markov prime,{{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}} star prime
  • 7568 – centered heptagonal number
  • 7569 = 872, centered octagonal number
  • 7583 – balanced prime

=7600 to 7699=

  • 7607 – safe prime, super-prime
  • 7612 – decagonal number
  • 7614 – nonagonal number
  • 7626 – triangular number
  • 7643 – Sophie Germain prime, safe prime
  • 7647 – Keith number
  • 7649 – Sophie Germain prime, super-prime
  • 7656 - pronic number
  • 7691 – Sophie Germain prime
  • 7699super-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){{cite OEIS|A011260|Number of primitive polynomials of degree n over GF(2)}}
  • 7714square pyramidal number{{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}}
  • 7727 – safe prime
  • 7739 – member of the Padovan sequence{{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}}
  • 7741 = number of trees with 15 unlabeled nodes{{cite OEIS|A000055|Number of trees with n unlabeled nodes}}
  • 7744 = 882, square palindrome not ending in 0
  • 7750 – triangular number
  • 7753super-prime
  • 7770 – tetrahedral number
  • 7776 = 65, number of primitive polynomials of degree 18 over GF(2){{cite OEIS|A011260|Number of primitive polynomials of degree n over GF(2)}}
  • 7777 – Kaprekar number, repdigit{{cite oeis|A010785|Repdigit numbers, or numbers whose digits are all equal}}

=7800 to 7899=

=7900 to 7999=

  • 7901 – Sophie Germain prime
  • 7909 – Keith number
  • 7912 – weird number
  • 7919 – 1000th prime number{{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}}
  • 7920 – the order of the Mathieu group M11, the smallest sporadic simple group
  • 7921 = 892, centered octagonal number
  • 7944 – nonagonal number
  • 7957super-Poulet number{{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}}
  • 7965 – decagonal number
  • 7979highly cototient number
  • 7982 - sum of the first 61 primes
  • 7993 - star prime, reverse superstar prime

=Prime numbers=

There are 107 prime numbers between 7000 and 8000:{{Cite OEIS|A038823|Number of primes between n*1000 and (n+1)*1000}}{{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}}

: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