# 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

## Selected numbers in the range 7001–7999

### 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

### 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

### 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]

### 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. ^ a b "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. ^ a b "Sloane's A000292 : Tetrahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
5. ^
6. ^ a b "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. ^ a b "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. ^ a b c "Sloane's A001107 : 10-gonal (or decagonal) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
11. ^ a b "Sloane's A006886 : Kaprekar numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
12. ^
13. ^
14. ^ a b c "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. ^
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. ^
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.