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=
- 7021 – triangular number
- 7043 – Sophie Germain prime
- 7056 = 842
- 7057 – cuban 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
- 7073 – Leyland 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
- 7106 – octahedral 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}}
- 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{{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
- 7192 – weird 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=
- 7200 – pentagonal 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
- 7246 – centered 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
- 7267 – decagonal 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}}
- 7272 – Kaprekar 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}}
- 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{{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
- 7351 – super-prime, cuban prime of the form x = y + 1
- 7381 – triangular number
- 7385 – Keith 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=
- 7417 – super-prime
- 7418 - sum of the first 59 primes
- 7433 – Sophie Germain prime
- 7471 – centered 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
- 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{{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}}
- 7561 – Markov 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
- 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){{cite OEIS|A011260|Number of primitive polynomials of degree n over GF(2)}}
- 7714 – square 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
- 7753 – super-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=
- 7810 – ISO/IEC 7810 is the ISO's standard for physical characteristics of identification cards
- 7821 – n=6 value of
- 7823 – Sophie Germain prime, safe prime, balanced prime
- 7825 – magic constant of n × n normal magic square and 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
- 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
- 7957 – super-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
- 7979 – highly 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