From Wikipedia, the free encyclopedia
Natural number
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.
[1]
Selected numbers in the range 8001–8999
- 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
- 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
[13]
- 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
- 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
There are 110
prime numbers between 8000 and 9000:
[15]
[16]
- 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
-
^ Voiland, Adam (16 December 2013).
"The Eight-Thousanders". The Earth Observatory. NASA. Retrieved 12 September 2016.
-
^
"Sloane's A005900 : Octahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
-
^
"Sloane's A002411 : Pentagonal pyramidal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
-
^
Sloane, N. J. A. (ed.).
"Sequence A005188 (Armstrong (or Plus Perfect, or narcissistic) numbers)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
-
^
Sloane, N. J. A. (ed.).
"Sequence A002407 (Cuban primes)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
-
^
Sloane, N. J. A. (ed.).
"Sequence A050217 (Super-Poulet numbers)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
-
^
Sloane, N. J. A. (ed.).
"Sequence A001107 (10-gonal (or decagonal) numbers)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
-
^
Sloane, N. J. A. (ed.).
"Sequence A049363 (a(1) = 1; for n > 1, smallest digitally balanced number in base n)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
-
^
Sloane, N. J. A. (ed.).
"Sequence A076980 (Leyland numbers)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
-
^
Sloane, N. J. A. (ed.).
"Sequence A006879 (Number of primes with n digits.)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
-
^
Sloane, N. J. A. (ed.).
"Sequence A000292 (Tetrahedral numbers)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
-
^
Sloane, N. J. A. (ed.).
"Sequence A000330 (Square pyramidal numbers)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
-
^
Sloane, N. J. A. (ed.).
"Sequence A082897 (Perfect totient numbers)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
-
^
Sloane, N. J. A. (ed.).
"Sequence A002997 (Carmichael numbers)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
-
^
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.
-
^
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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100,000
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1,000,000
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10,000,000
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100,000,000
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1,000,000,000
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