7000 (number)

7000 (seven thousand) is the natural number following 6999 and preceding 7001.

6999 7000 7001
Cardinalseven thousand
Ordinal7000th
(seven thousandth)
Factorization23 × 53 × 7
Greek numeral,Ζ´
Roman numeralVMM, or VII
Unicode symbol(s)VMM, vmm, VII, vii
Binary11011010110002
Ternary1001210213
Senary522246
Octal155308
Duodecimal407412
Hexadecimal1B5816

Selected numbers in the range 7001–7999

7001 to 7099

7100 to 7199

  • 7103 – Sophie Germain prime, sexy prime with 7109
  • 7106octahedral number[3]
  • 7109super-prime, sexy prime with 7103
  • 7121 – Sophie Germain prime
  • 7140 – triangular number, also a pronic number and hence 7140/2 = 3570 is also a triangular number, tetrahedral number[4]
  • 7151 – Sophie Germain prime
  • 7155 – number of 19-bead necklaces (turning over is allowed) where complements are equivalent[5]
  • 7187 – safe prime
  • 7192weird number[6]
  • 7193 – Sophie Germain prime, super-prime

7200 to 7299

7300 to 7399

  • 7316 – number of 18-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed[12]
  • 7338 – Fine number.[13]
  • 7349 – Sophie Germain prime
  • 7351super-prime, cuban prime of the form x = y + 1[1]
  • 7381 – triangular number
  • 7385Keith number[14]
  • 7396 = 862

7400 to 7499

7500 to 7599

7600 to 7699

  • 7607 – safe prime, super-prime
  • 7612 – decagonal number[10]
  • 7614 – nonagonal number
  • 7626 – triangular number
  • 7643 – Sophie Germain prime, safe prime
  • 7647 – Keith number[14]
  • 7649 – Sophie Germain prime, super-prime
  • 7691 – Sophie Germain prime
  • 7699super-prime, emirp, sum of 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)[18]
  • 7714square pyramidal number[19]
  • 7727 – safe prime
  • 7739 – member of the Padovan sequence[20]
  • 7744 = 882, square palindrome not ending in 0
  • 7750 – triangular number
  • 7753super-prime
  • 7770 – tetrahedral number[4]
  • 7776 = 65, number of primitive polynomials of degree 18 over GF(2)[21]
  • 7777 – Kaprekar number[11]

7800 to 7899

7900 to 7999

Prime numbers

There are 107 prime numbers between 7000 and 8000:[24][25]

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

  1. "Sloane's A002407 : Cuban primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
  2. "Sloane's A076980 : Leyland numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
  3. "Sloane's A005900 : Octahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
  4. "Sloane's A000292 : Tetrahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
  5. Sloane, N. J. A. (ed.). "Sequence A000011 (Number of n-bead necklaces (turning over is allowed) where complements are equivalent)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  6. "Sloane's A006037 : Weird numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
  7. "Sloane's A002411 : Pentagonal pyramidal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
  8. "Sloane's A016754 : Odd squares: a(n) = (2n+1)^2. Also centered octagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
  9. "Sloane's A069099 : Centered heptagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
  10. "Sloane's A001107 : 10-gonal (or decagonal) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
  11. "Sloane's A006886 : Kaprekar numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
  12. Sloane, N. J. A. (ed.). "Sequence 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)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  13. Sloane, N. J. A. (ed.). "Sequence 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)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-06-01.
  14. "Sloane's A007629 : Repfigit (REPetitive FIbonacci-like diGIT) numbers (or Keith numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
  15. "Sloane's A005898 : Centered cube numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
  16. "Sloane's A002182 : Highly composite numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
  17. "Sloane's A002559 : Markoff (or Markov) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
  18. Sloane, N. J. A. (ed.). "Sequence A011260 (Number of primitive polynomials of degree n over GF(2))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  19. "Sloane's A000330 : Square pyramidal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
  20. "Sloane's A000931 : Padovan sequence". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  21. Sloane, N. J. A. (ed.). "Sequence A011260 (Number of primitive polynomials of degree n over GF(2))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  22. "7919". The Prime Pages. University of Tennessee. Retrieved April 25, 2017.
  23. "Sloane's A050217 : Super-Poulet numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
  24. Sloane, N. J. A. (ed.). "Sequence A038823 (Number of primes between n*1000 and (n+1)*1000)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  25. Stein, William A. (10 February 2017). "The Riemann Hypothesis and The Birch and Swinnerton-Dyer Conjecture". wstein.org. Retrieved 6 February 2021.
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