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词条 5000 (number)
释义

  1. Selected numbers in the range 5001–5999

     5001 to 5099  5100 to 5199  5200 to 5299  5300 to 5399  5400 to 5499  5500 to 5599  5600 to 5699  5700 to 5799  5800 to 5899  5900 to 5999 

  2. References

{{Infobox number
| number = 5000
| unicode = {{Overline|V}}, {{Overline|v}}, ↁ
}}

5000 (five thousand) is the natural number following 4999 and preceding 5001. Five thousand is the largest isogrammic number in the English language.

{{Wiktionary|five thousand}}

Selected numbers in the range 5001–5999

5001 to 5099

  • 5003 – Sophie Germain prime
  • 5020 – amicable number with 5564
  • 5021 – super-prime, twin prime
  • 5039 – factorial prime,[1] Sophie Germain prime
  • 5040 – 7!, superior highly composite number
  • 5041 – 712, centered octagonal number[2]
  • 5050 – triangular number, Kaprekar number,[3] sum of first 100 integers
  • 5051 – Sophie Germain prime
  • 5059 – super-prime
  • 5076 – decagonal number[4]
  • 5081 – Sophie Germain prime
  • 5087 – safe prime
  • 5099 – safe prime

5100 to 5199

  • 5107 – super-prime, balanced prime[5]
  • 5113 – balanced prime[5]
  • 5117 - sum of the first 50 primes
  • 5151 – triangular number
  • 5167 – cuban prime of the form x = y + 1[6]
  • 5171 – Sophie Germain prime
  • 5184 – 722
  • 5186 – φ(5186) = 2592
  • 5187 – φ(5187) = 2592
  • 5188 – φ(5189) = 2592, centered heptagonal number[7]
  • 5189 – super-prime

5200 to 5299

  • 5226 – nonagonal number[8]
  • 5231 – Sophie Germain prime
  • 5244 – 222 + 232 + … + 292 = 202 + 212 + … + 282
  • 5249 – highly cototient number[9]
  • 5253 – triangular number
  • 5279 – Sophie Germain prime, 700th prime number
  • 5280 is the number of feet in a mile. It is divisible by three, yielding exactly 1760 yards per mile and by 16.5, yielding exactly 320 rods per mile.
  • 5280 is connected with both Klein's J-invariant and the Heegner numbers. Specifically

  • 5281 – super-prime, twin prime
  • 5292 – Kaprekar number[3]

5300 to 5399

  • 5303 – Sophie Germain prime, balanced prime[5]
  • 5329 – 732, centered octagonal number[2]
  • 5333 – Sophie Germain prime
  • 5335 – magic constant of n × n normal magic square and n-queens problem for n = 22.
  • 5340 – octahedral number[10]
  • 5356 – triangular number
  • 5365 – decagonal number[4]
  • 5381 – super-prime
  • 5387 – safe prime, balanced prime[5]
  • 5392 – Leyland number[11]
  • 5393 – balanced prime[5]
  • 5399 – Sophie Germain prime, safe prime

5400 to 5499

  • 5405 – member of a Ruth–Aaron pair with 5406 (either definition)
  • 5406 – member of a Ruth–Aaron pair with 5405 (either definition)
  • 5419 – Cuban prime of the form x = y + 1[6]
  • 5441 – Sophie Germain prime, super-prime
  • 5456 – tetrahedral number[12]
  • 5459 – highly cototient number[9]
  • 5460 – triangular number
  • 5461 – super-Poulet number,[13] centered heptagonal number[7]
  • 5476 – 742
  • 5483 – safe prime

5500 to 5599

  • 5500 – nonagonal number[8]
  • 5501 – Sophie Germain prime
  • 5503 – super-prime, twin prime with 5501, cousin prime with 5507
  • 5507 – safe prime
  • 5525 – square pyramidal number[14]
  • 5527 – happy number
  • 5536 – tetranacci number[15]
  • 5557 – super prime
  • 5563 – balanced prime
  • 5564 – amicable number with 5020
  • 5565 – triangular number
  • 5566 – pentagonal pyramidal number[16]
  • 5569 – happy number
  • 5571 – perfect totient number[17]
  • 5581 – prime of the form 2p-1

5600 to 5699

  • 5623 – super-prime
  • 5625 – 752, centered octagonal number[2]
  • 5639 – Sophie Germain prime, safe prime
  • 5651 – super-prime
  • 5659 – happy number, completes the eleventh prime quadruplet set
  • 5662 – decagonal number[4]
  • 5671 – triangular number

5700 to 5799

  • 5701 – super-prime
  • 5711 – Sophie Germain prime
  • 5719 – Zeisel number,[18] Lucas–Carmichael number[19]
  • 5741 – Sophie Germain prime, Pell number,[20] Markov number,[21] centered heptagonal number[7]
  • 5749 – super-prime
  • 5768 – tribonacci number[22]
  • 5776 – 762
  • 5777 – smallest counterexample to the conjecture that all odd numbers are of the form p + 2a2
  • 5778 – triangular number
  • 5781 – nonagonal number[8]
  • 5798 – Motzkin number[23]

5800 to 5899

  • 5801 – super-prime
  • 5807 – safe prime, balanced prime
  • 5832 – 183
  • 5842 – member of the Padovan sequence[24]
  • 5849 – Sophie Germain prime
  • 5869 – super-prime
  • 5879 – safe prime, highly cototient number[9]
  • 5886 – triangular number

5900 to 5999

  • 5903 – Sophie Germain prime
  • 5913 – sum of the first seven factorials
  • 5927 – safe prime
  • 5929 – 772, centered octagonal number[2]
  • 5939 – safe prime
  • 5967 – decagonal number[4]
  • 5984 – tetrahedral number[12]
  • 5995 – triangular number

References

1. ^{{Cite web|url=https://oeis.org/A088054|title=Sloane's A088054 : Factorial primes|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-06-13}}
2. ^1 2 3 {{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=2016-06-13}}
3. ^1 {{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=2016-06-13}}
4. ^1 2 3 {{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=2016-06-13}}
5. ^1 2 3 4 {{Cite web|url=https://oeis.org/A006562|title=Sloane's A006562 : Balanced primes|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-06-13}}
6. ^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=2016-06-13}}
7. ^1 2 {{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=2016-06-13}}
8. ^1 2 {{Cite web|url=https://oeis.org/A001106|title=Sloane's A001106 : 9-gonal (or enneagonal or nonagonal) numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-06-13}}
9. ^1 2 {{Cite web|url=https://oeis.org/A100827|title=Sloane's A100827 : Highly cototient numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-06-13}}
10. ^{{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=2016-06-13}}
11. ^{{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=2016-06-13}}
12. ^1 {{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=2016-06-13}}
13. ^{{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=2016-06-13}}
14. ^{{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=2016-06-13}}
15. ^{{Cite web|url=https://oeis.org/A000078|title=Sloane's A000078 : Tetranacci numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-06-13}}
16. ^{{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=2016-06-13}}
17. ^{{Cite web|url=https://oeis.org/A082897|title=Sloane's A082897 : Perfect totient numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-06-13}}
18. ^{{Cite web|url=https://oeis.org/A051015|title=Sloane's A051015 : Zeisel numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-06-13}}
19. ^{{Cite web|url=https://oeis.org/A006972|title=Sloane's A006972 : Lucas-Carmichael numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-06-13}}
20. ^{{Cite web|url=https://oeis.org/A000129|title=Sloane's A000129 : Pell numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-06-13}}
21. ^{{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=2016-06-13}}
22. ^{{Cite web|url=https://oeis.org/A000073|title=Sloane's A000073 : Tribonacci numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-06-13}}
23. ^{{Cite web|url=https://oeis.org/A001006|title=Sloane's A001006 : Motzkin numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-06-13}}
24. ^{{Cite web|url=https://oeis.org/A000931|title=Sloane's A000931 : Padovan sequence|last=|first=|date=|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-06-11}}
{{DEFAULTSORT:5000 (Number)}}

1 : Integers
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