9000 (nine thousand) is the natural number following 8999 and preceding 9001.

Selected numbers in the range 9001–9999

9001 to 9099

* 9001 – sexy prime with 9007 * 9007 – sexy prime with 9001 * 9009 – centered cube number * 9025 = 95², centered octagonal number * 9029 – Sophie Germain prime * 9041 –

super-prime Super-prime numbers, also known as higher-order primes or prime-indexed primes (PIPs), are the subsequence of prime numbers that occupy prime-numbered positions within the sequence of all prime numbers. The subsequence begins :3, 5, 11, 17, 31, ...

* 9045 – triangular number * 9059 – Sophie Germain prime * 9072 – decagonal number * 9077 – Markov number * 9091 – unique prime

9100 to 9199

* 9103 –

* 9126 – pentagonal pyramidal number * 9139 – tetrahedral number * 9175 – smallest (provable) generalized

Sierpiński number In number theory, a Sierpiński number is an odd natural number ''k'' such that k \times 2^n + 1 is composite for all natural numbers ''n''. In 1960, Wacław Sierpiński proved that there are infinitely many odd integers ''k'' which have this pro ...

in base 10: is always divisible by one of the prime numbers . * 9180 – triangular number

9200 to 9299

* 9216 = 96² * 9221 – Sophie Germain prime * 9224 – octahedral number * 9241 – cuban prime of the form ''x'' = ''y'' + 1 * 9261 = 21³, largest 4 digit perfect cube * 9272 – weird number * 9283 – centered heptagonal number * 9293 – Sophie Germain prime,

9300 to 9399

* 9316 – triangular number * 9319 –

* 9334 – nonagonal number * 9349 – Lucas prime, Fibonacci number * 9371 – Sophie Germain prime * 9376 – 1- automorphic number * 9397 –

balanced prime In number theory, a balanced prime is a prime number with equal-sized prime gaps above and below it, so that it is equal to the arithmetic mean of the nearest primes above and below. Or to put it algebraically, given a prime number p_n, where is it ...

9400 to 9499

* 9403 –

* 9409 = 97², centered octagonal number * 9419 – Sophie Germain prime * 9439 – completes the twelfth prime quadruplet set * 9453 – triangular number * 9455 –

square pyramidal number In mathematics, a pyramid number, or square pyramidal number, is a natural number that counts the number of stacked spheres in a pyramid with a square base. The study of these numbers goes back to Archimedes and Fibonacci. They are part of a broa ...

* 9457 – decagonal number * 9461 –

, twin prime * 9467 – safe prime * 9473 – Sophie Germain prime, balanced prime, Proth prime * 9474 – Narcissistic number in base 10 * 9479 – Sophie Germain prime * 9496 – Telephone/involution number

9500 to 9599

* 9511 - prime number * 9521 - prime number * 9533 - prime number * 9539 – Sophie Germain prime,

* 9551 – first prime followed by as many as 35 consecutive composite numbers * 9587 – safe prime, follows 35 consecutive composite numbers * 9591 – triangular number * 9592 - amount of prime numbers under 100,000

9600 to 9699

* 9601 – Proth prime * 9604 = 98² * 9619 –

* 9629 – Sophie Germain prime * 9647 – centered heptagonal number * 9661 – super-prime, sum of nine consecutive primes (1049 + 1051 + 1061 + 1063 + 1069 + 1087 + 1091 + 1093 + 1097) * 9689 – Sophie Germain prime * 9699 – nonagonal number

9700 to 9799

* 9721 – prime of the form 2p-1 * 9730 – triangular number * 9739 –

* 9743 – safe prime * 9791 – Sophie Germain prime

9800 to 9899

* 9800 – member of a Ruth-Aaron pair (first definition) with 9801 * 9801 = 99², the largest 4 digit perfect square, centered octagonal number, square pentagonal number, member of a Ruth-Aaron pair (first definition) with 9800 * 9833 –

* 9839 – safe prime * 9850 – decagonal number * 9855 –

magic constant The magic constant or magic sum of a magic square is the sum of numbers in any row, column, or diagonal of the magic square. For example, the magic square shown below has a magic constant of 15. For a normal magic square of order ''n'' – that is ...

of ''n'' × ''n'' normal

magic square In recreational mathematics, a square array of numbers, usually positive integers, is called a magic square if the sums of the numbers in each row, each column, and both main diagonals are the same. The 'order' of the magic square is the number ...

and n-Queens Problem for ''n'' = 27. * 9857 – Proth prime * 9859 – super-prime * 9870 – triangular number * 9871 – balanced prime * 9880 – tetrahedral number * 9887 – safe prime

9900 to 9999

* 9901 – unique prime, sum of seven consecutive primes (1381 + 1399 + 1409 + 1423 + 1427 + 1429 + 1433) * 9905 – number of compositions of 16 whose run-lengths are either weakly increasing or weakly decreasing * 9923 –

, probably smallest certainly executable prime number on x86 MS-DOS * 9949 – sum of nine consecutive primes (1087 + 1091 + 1093 + 1097 + 1103 + 1109 + 1117 + 1123 + 1129) * 9973 – super-prime * 9999 – Kaprekar number, repdigit

Prime numbers

There are 112 prime numbers between 9000 and 10000: :9001, 9007, 9011, 9013, 9029, 9041, 9043, 9049, 9059, 9067, 9091, 9103, 9109, 9127, 9133, 9137, 9151, 9157, 9161, 9173, 9181, 9187, 9199, 9203, 9209, 9221, 9227, 9239, 9241, 9257, 9277, 9281, 9283, 9293, 9311, 9319, 9323, 9337, 9341, 9343, 9349, 9371, 9377, 9391, 9397, 9403, 9413, 9419, 9421, 9431, 9433, 9437, 9439, 9461, 9463, 9467, 9473, 9479, 9491, 9497, 9511, 9521, 9533, 9539, 9547, 9551, 9587, 9601, 9613, 9619, 9623, 9629, 9631, 9643, 9649, 9661, 9677, 9679, 9689, 9697, 9719, 9721, 9733, 9739, 9743, 9749, 9767, 9769, 9781, 9787, 9791, 9803, 9811, 9817, 9829, 9833, 9839, 9851, 9857, 9859, 9871, 9883, 9887, 9901, 9907, 9923, 9929, 9931, 9941, 9949, 9967, 9973

References

{{Integers, 10 Integers