9000 (number)

• 9001 – sexy prime with 9007
• 9007 – sexy prime with 9001
• 9009 – centered cube number{{cite OEIS|A005898|Centered cube numbers: n^3 + (n+1)^3.}}
• 9025 = 95², centered octagonal number
• 9029 – Sophie Germain prime
• 9041 – super-prime
• 9045 – triangular number
• 9059 – Sophie Germain prime
• 9072 – decagonal number
• 9077 – Markov number{{cite OEIS|A002559| Markoff (or Markov) numbers: union of positive integers x, y, z satisfying x^2 + y^2 + z^2 = 3*x*y*z.}}
• 9091 – unique prime{{cite OEIS|A040017| Prime 3 followed by unique period primes (the period r of 1/p is not shared with any other prime) of the form A019328(r)/gcd(A019328(r),r) in order (periods r are given in A051627).}}

• 9103 – super-prime
• 9126 – pentagonal pyramidal number{{cite OEIS|A002411|Pentagonal pyramidal numbers: a(n) = n^2*(n+1)/2.}}
• 9139 – tetrahedral number{{cite OEIS|A000292|Tetrahedral (or triangular pyramidal) numbers: a(n) = C(n+2,3) = n*(n+1)*(n+2)/6.}}
• 9175 – smallest (provable) generalized Sierpiński number in base 10: {{math|9175*10ⁿ+1}} is always divisible by one of the prime numbers {{math|{7, 11, 13, 73}}}.{{Cite journal |url=https://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/1639-08.pdf |title=GENERALIZED SIERPIŃSKI NUMBERS TO BASE b |author1=Brunner, Amy |author2=Caldwell, Chris K. |author3=Krywaruczenko, Daniel |author4=Lownsdale, Chris |journal=数理解析研究所講究録 [Notes from the Institute of Mathematical Analysis (in, New Aspects of Analytic Number Theory)] |publisher=RIMS |location=Kyoto |volume=1639 |year=2009 |pages=69–79 |hdl=2433/140555 |s2cid=38654417 }}
• 9180 – triangular number

• 9216 = 96²
• 9221 – Sophie Germain prime
• 9224 – octahedral number{{cite OEIS|A005900|Octahedral numbers: a(n) = n*(2*n^2 + 1)/3.}}
• 9241 – cuban prime of the form x = y + 1{{cite OEIS|A002407|Cuban primes: primes which are the difference of two consecutive cubes.}}
• 9261 = 21³, largest 4 digit perfect cube
• 9272 – weird number{{cite OEIS|A006037|Weird numbers: abundant (A005101) but not pseudoperfect (A005835).}}
• 9283 – centered heptagonal number
• 9293 – Sophie Germain prime, super-prime

• 9316 – triangular number
• 9319 – super-prime
• 9334 – nonagonal number
• 9349 – Lucas prime,{{cite OEIS|A005479|Prime Lucas numbers (cf. A000032).}} Fibonacci number
• 9361 - star number
• 9371 – Sophie Germain prime
• 9376 – 1-automorphic number
• 9397 – balanced prime

• 9403 – super-prime
• 9409 = 97², centered octagonal number
• 9419 – Sophie Germain prime
• 9439 – completes the twelfth prime quadruplet set
• 9453 – triangular number
• 9455 – square pyramidal number{{cite OEIS|A000330|Square pyramidal numbers: a(n) = 0^2 + 1^2 + 2^2 + ... + n^2 = n*(n+1)*(2*n+1)/6.}}
• 9457 – decagonal number
• 9461 – super-prime, 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

• 9511 - prime number
• 9521 - prime number
• 9533 - prime number
• 9539 – Sophie Germain prime, super-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 - the number of primes under 100,000

• 9601 – Proth prime
• 9604 = 98²
• 9619 – super-prime
• 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

• 9721 – prime of the form 2p-1
• 9730 – triangular number
• 9739 – super-prime
• 9743 – safe prime
• 9791 – Sophie Germain prime

• 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 – super-prime
• 9839 – safe prime
• 9841 - star number
• 9850 – decagonal number
• 9857 – Proth prime
• 9859 – super-prime
• 9870 – triangular number
• 9871 – balanced prime
• 9880 – tetrahedral number{{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=2016-06-14}}
• 9887 – safe prime

• 9901 – unique prime, sum of seven consecutive primes (1381 + 1399 + 1409 + 1423 + 1427 + 1429 + 1433){{Cite web|url=https://oeis.org/A040017|title=Sloane's A040017 : Unique period primes|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-06-14}}
• 9905 – number of compositions of 16 whose run-lengths are either weakly increasing or weakly decreasing{{cite OEIS|A332835|Number of compositions of n whose run-lengths are either weakly increasing or weakly decreasing|access-date=2022-06-02}}
• 9923 – super-prime, probably smallest certainly executable prime number on x86 MS-DOS{{citation |url=http://asdf.org/~fatphil/maths/illegal.html |title=An Executable Prime Number? |archive-url=https://web.archive.org/web/20100210085512/http://asdf.org/~fatphil/maths/illegal.html |archive-date=2010-02-10 }}
• 9949 – sum of nine consecutive primes (1087 + 1091 + 1093 + 1097 + 1103 + 1109 + 1117 + 1123 + 1129)
• 9973 – super-prime
• 9988 – number of prime knots with 13 crossings
• 9999 – Kaprekar number, repdigit

There are 112 prime numbers between 9000 and 10000:{{Cite OEIS|A038823|Number of primes between n*1000 and (n+1)*1000}}{{cite web |last=Stein |first=William A. |author-link=William A. Stein |title=The Riemann Hypothesis and The Birch and Swinnerton-Dyer Conjecture |url=https://wstein.org/talks/2017-02-10-wing-rh_and_bsd/ |website=wstein.org |date=10 February 2017 |access-date=6 February 2021}}

: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

{{Reflist}}

{{Integers|10}}

Category:Integers