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8000 (number)

FieldValue
number8000
romanMMM, or
unicodeMMM, mmm,
lang1Armenianlang1 symbol=Փ

, 8000 (eight thousand) is the natural number following 7999 and preceding 8001.

8000 is the cube of 20, as well as the sum of four consecutive integers cubed, 113 + 123 + 133 + 143.

The fourteen tallest mountains on Earth, which exceed 8000 meters in height, are sometimes referred to as eight-thousanders.

Selected numbers in the range 8001–8999

8001 to 8099

  • 8001 – triangular number
  • 8002 – Mertens function zero
  • 8011 – Mertens function zero, super-prime
  • 8012 – Mertens function zero
  • 8017 – Mertens function zero
  • 8021 – Mertens function zero
  • 8039 – safe prime
  • 8059 – super-prime
  • 8069 – Sophie Germain prime
  • 8093 – Sophie Germain prime

8100 to 8199

  • 8100 = 902
  • 8101 – super-prime
  • 8111 – Sophie Germain prime
  • 8117 – super-prime, balanced prime
  • 8119 – octahedral number; 8119/5741 ≈ √2
  • 8125 – pentagonal pyramidal number
  • 8128 – perfect number, harmonic divisor number, 127th triangular number, 64th hexagonal number, eighth 292-gonal number, fourth 1356-gonal number
  • 8147 – safe prime
  • 8189 – highly cototient number
  • 8190 – harmonic divisor number
  • 8191 – Mersenne prime
  • 8192 = 213

8200 to 8299

  • 8208 – base 10 narcissistic number as 84 + 24 + 04 + 84 = 8208
  • 8219 – twin prime with 8221
  • 8221 – super-prime, twin prime with 8219
  • 8233 – super-prime, centered heptagonal number
  • 8243 – Sophie Germain prime
  • 8256 – triangular number
  • 8257 – sum of the squares of the first fourteen primes
  • 8269 – cuban prime of the form x = y + 1
  • 8273 – Sophie Germain prime
  • 8281 = 912, sum of the cubes of the first thirteen integers, nonagonal number, centered octagonal number
  • 8287 – super-prime

8300 to 8399

  • 8321 – super-Poulet number
  • 8326 – decagonal number
  • 8345 - smallest pandigital number in base 6
  • 8361 – Leyland number
  • 8363 – prime number, number of prime numbers having five digits
  • 8377 – super-prime
  • 8385 – triangular number
  • 8389 – super-prime, twin prime

8400 to 8499

  • 8423 – safe prime
  • 8436 – tetrahedral number
  • 8437 - star number
  • 8464 = 922

8500 to 8599

  • 8513 – Sophie Germain prime, super-prime
  • 8515 – triangular number
  • 8521 – sexy prime with 8527
  • 8527 – super-prime, sexy prime with 8521
  • 8543 – safe prime
  • 8555 – square pyramidal number
  • 8558 – Large Schröder number
  • 8576 – centered heptagonal number
  • 8581 – super-prime

8600 to 8699

  • 8625 – nonagonal number
  • 8646 – triangular number
  • 8649 = 932, centered octagonal number
  • 8658 - sum of the first four perfect numbers (6, 28, 496, 8128) and the product of the culturally significant 666 and 13
  • 8663 – Sophie Germain prime
  • 8693 – Sophie Germain prime
  • 8695 – decagonal number
  • 8699 – safe prime

8700 to 8799

  • 8712 – smallest number that is divisible by its reverse: 8712 = 4 × 2178 (excluding palindromes and numbers with trailing zeros)
  • 8713 – balanced prime
  • 8719 – super-prime
  • 8741 – Sophie Germain prime
  • 8747 – safe prime, balanced prime, super-prime
  • 8748 – 3-smooth number (22×37)
  • 8751 – perfect totient number
  • 8760 - the number of hours in a non-leap year; 365 × 24
  • 8761 – super-prime
  • 8778 – triangular number
  • 8783 – safe prime
  • 8784 - the number of hours in a leap year; 366 × 24

8800 to 8899

  • 8801 – magic constant of n × n normal magic square and n-Queens Problem for n = 26.
  • 8807 – super-prime, sum of eleven consecutive primes (761 + 769 + 773 + 787 + 797 + 809 + 811 + 821 + 823 + 827 + 829)
  • 8819 – safe prime
  • 8833 = 882 + 332
  • 8836 = 942
  • 8839 – sum of twenty-three consecutive primes (313 + 317 + 331 + 337 + 347 + 349 + 353 + 359 + 367 + 373 + 379 + 383 + 389 + 397 + 401 + 409 + 419 + 421 + 431 + 433 + 439 + 443 + 449)
  • 8849 – super-prime
  • 8855 – member of a Ruth-Aaron pair (first definition) with 8856
  • 8856 – member of a Ruth-Aaron pair (first definition) with 8855
  • 8888 - repdigit
  • 8893 - star prime

8900 to 8999

  • 8911 – Carmichael number, triangular number
  • 8923 – super-prime
  • 8926 – centered heptagonal number
  • 8933 – the 1,111th prime number
  • 8944 – sum of the cubes of the first seven primes
  • 8951 – Sophie Germain prime
  • 8963 – safe prime
  • 8964 – number referring to the 1989 Tiananmen Square Protests
  • 8969 – Sophie Germain prime
  • 8976 – enneagonal number
  • 8999 – super-prime

Prime numbers

There are 110 prime numbers between 8000 and 9000: :8009, 8011, 8017, 8039, 8053, 8059, 8069, 8081, 8087, 8089, 8093, 8101, 8111, 8117, 8123, 8147, 8161, 8167, 8171, 8179, 8191, 8209, 8219, 8221, 8231, 8233, 8237, 8243, 8263, 8269, 8273, 8287, 8291, 8293, 8297, 8311, 8317, 8329, 8353, 8363, 8369, 8377, 8387, 8389, 8419, 8423, 8429, 8431, 8443, 8447, 8461, 8467, 8501, 8513, 8521, 8527, 8537, 8539, 8543, 8563, 8573, 8581, 8597, 8599, 8609, 8623, 8627, 8629, 8641, 8647, 8663, 8669, 8677, 8681, 8689, 8693, 8699, 8707, 8713, 8719, 8731, 8737, 8741, 8747, 8753, 8761, 8779, 8783, 8803, 8807, 8819, 8821, 8831, 8837, 8839, 8849, 8861, 8863, 8867, 8887, 8893, 8923, 8929, 8933, 8941, 8951, 8963, 8969, 8971, 8999

References

References

  1. Voiland, Adam. (16 December 2013). "The Eight-Thousanders". NASA.
  2. "Sloane's A005900 : Octahedral numbers". OEIS Foundation.
  3. "Sloane's A002411 : Pentagonal pyramidal numbers". OEIS Foundation.
  4. {{Cite OEIS. A005188. Armstrong (or Plus Perfect, or narcissistic) numbers
  5. {{Cite OEIS. A002407. Cuban primes
  6. {{Cite OEIS. A050217. Super-Poulet numbers
  7. {{Cite OEIS. A001107. 10-gonal (or decagonal) numbers
  8. {{cite OEIS. A049363
  9. {{Cite OEIS. A076980. Leyland numbers
  10. {{Cite OEIS. A006879. Number of primes with n digits.
  11. {{Cite OEIS. A000292. Tetrahedral numbers
  12. {{Cite OEIS. A000330. Square pyramidal numbers
  13. {{Cite OEIS. A082897. Perfect totient numbers
  14. {{Cite OEIS. A002997. Carmichael numbers
  15. {{Cite OEIS. A038823. Number of primes between n*1000 and (n+1)*1000
  16. Stein, William A.. (10 February 2017). "The Riemann Hypothesis and The Birch and Swinnerton-Dyer Conjecture".
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