7000 (number)

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, super-prime
• 7073 – Leyland number
• 7079 – Sophie Germain prime, safe prime

7100 to 7199

• 7103 – Sophie Germain prime, sexy prime with 7109
• 7106 – octahedral number
• 7109 – super-prime, sexy prime with 7103
• 7121 – Sophie Germain prime
• 7140 – triangular number, also a pronic number and hence = 3570 is also a triangular number, tetrahedral number
• 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
• 7187 – safe prime
• 7192 – weird number
• 7193 – Sophie Germain prime, super-prime

7200 to 7299

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

7400 to 7499

• 7417 – super-prime
• 7418 – sum of the first 59 primes
• 7433 – Sophie Germain prime
• 7471 – centered cube number
• 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
• 7561 – Markov prime, 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)
• 7714 – square pyramidal number
• 7727 – safe prime
• 7739 – member of the Padovan sequence
• 7741 = number of trees with 15 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)
• 7777 – Kaprekar number, repdigit

7800 to 7899

• 7810 – ISO/IEC 7810 is the ISO's standard for physical characteristics of identification cards
• 7821 – n=6 value of \sum_{k=1}^{n}n^{floor(\frac{n}{k})-1}
• 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
• 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
• 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: :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

References

1. "Sloane's A002407 : Cuban primes". OEIS Foundation.
2. "Sloane's A076980 : Leyland numbers". OEIS Foundation.
3. "Sloane's A005900 : Octahedral numbers". OEIS Foundation.
4. "Sloane's A000292 : Tetrahedral numbers". OEIS Foundation.
5. {{cite OEIS. A000011. Number of n-bead necklaces (turning over is allowed) where complements are equivalent
6. "Sloane's A006037 : Weird numbers". OEIS Foundation.
7. "Sloane's A002411 : Pentagonal pyramidal numbers". OEIS Foundation.
8. "Sloane's A016754 : Odd squares: a(n) = (2n+1)^2. Also centered octagonal numbers". OEIS Foundation.
9. "Sloane's A069099 : Centered heptagonal numbers". OEIS Foundation.
10. "Sloane's A001107 : 10-gonal (or decagonal) numbers". OEIS Foundation.
11. "Sloane's A006886 : Kaprekar numbers". OEIS Foundation.
12. {{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
13. {{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
14. "Sloane's A007629 : Repfigit (REPetitive FIbonacci-like diGIT) numbers (or Keith numbers)". OEIS Foundation.
15. "Sloane's A005898 : Centered cube numbers". OEIS Foundation.
16. "Sloane's A002182 : Highly composite numbers". OEIS Foundation.
17. "Sloane's A002559 : Markoff (or Markov) numbers". OEIS Foundation.
18. {{cite OEIS. A011260. Number of primitive polynomials of degree n over GF(2)
19. "Sloane's A000330 : Square pyramidal numbers". OEIS Foundation.
20. "Sloane's A000931 : Padovan sequence". OEIS Foundation.
21. {{cite OEIS. A000055. Number of trees with n unlabeled nodes
22. {{cite OEIS. A011260. Number of primitive polynomials of degree n over GF(2)
23. {{cite oeis. A010785. Repdigit numbers, or numbers whose digits are all equal
24. "7919". [[University of Tennessee]].
25. "Sloane's A050217 : Super-Poulet numbers". OEIS Foundation.
26. {{Cite OEIS. A038823. Number of primes between n*1000 and (n+1)*1000
27. Stein, William A.. (10 February 2017). "The Riemann Hypothesis and The Birch and Swinnerton-Dyer Conjecture".