From Wikipedia, the free encyclopedia
Natural number
3000 (three thousand ) is the
natural number following
2999 and preceding
3001 . It is the smallest number requiring thirteen letters in English (when "and" is required from 101 forward).
Selected numbers in the range 3001–3999
3001 to 3099
3100 to 3199
3200 to 3299
3300 to 3399
3400 to 3499
3500 to 3599
3600 to 3699
3700 to 3799
3800 to 3899
3803 – 97th
Sophie Germain prime ,
safe prime , the largest prime factor of 123,456,789
3821 – 98th
Sophie Germain prime
3828 –
triangular number
3831 – sum of first 44 primes
3840 –
double factorial of 10
3844 = 622
3851 – 99th
Sophie Germain prime
3856 – number of 17-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed
[28]
3863 – 100th
Sophie Germain prime
3865 – greater of third pair of
Smith brothers
3888 – longest number when expressed in
Roman numerals I, V, X, L, C, D, and M (MMMDCCCLXXXVIII),
3-smooth number (24 ×35 )
3889 –
Cuban prime of the form x = y + 2
[23]
3894 –
octahedral number
[20]
3900 to 3999
3901 –
star number
3906 –
pronic number
3911 – 101st
Sophie Germain prime ,
super-prime
3914 – number of 18-bead necklaces (turning over is allowed) where complements are equivalent
[29]
3916 –
triangular number
3925 – centered cube number
[5]
3926 – 12th
open meandric number , 654th
sphenic number
3928 – centered heptagonal number
[3]
3937 – product of distinct Mersenne primes,
[30] repeated sum of divisors is prime,
[31] denominator of conversion factor from meter to
US survey foot
[32]
3940 – there are 3940 distinct ways to arrange the 12 flat
pentacubes (or 3-D
pentominoes ) into a 3x4x5 box (not counting rotations and reflections)
3943 –
super-prime
3947 – safe prime
3961 – nonagonal number,
[7] centered square number
[9]
3969 = 632 , centered octagonal number
[1]
3989 –
highly cototient number
[12]
3998 – member of the Mian–Chowla sequence
[13]
3999 – largest number properly expressible using
Roman numerals I, V, X, L, C, D, and M (MMMCMXCIX), ignoring
vinculum
Prime numbers
There are 120
prime numbers between 3000 and 4000:
[33]
[34]
3001, 3011, 3019, 3023, 3037, 3041, 3049, 3061, 3067, 3079, 3083, 3089, 3109, 3119, 3121, 3137, 3163, 3167, 3169, 3181, 3187, 3191, 3203, 3209, 3217, 3221, 3229, 3251, 3253, 3257, 3259, 3271, 3299, 3301, 3307, 3313, 3319, 3323, 3329, 3331, 3343, 3347, 3359, 3361, 3371, 3373, 3389, 3391, 3407, 3413, 3433, 3449, 3457, 3461, 3463, 3467, 3469, 3491, 3499, 3511, 3517, 3527, 3529, 3533, 3539, 3541, 3547, 3557, 3559, 3571, 3581, 3583, 3593, 3607, 3613, 3617, 3623, 3631, 3637, 3643, 3659, 3671, 3673, 3677, 3691, 3697, 3701, 3709, 3719, 3727, 3733, 3739, 3761, 3767, 3769, 3779, 3793, 3797, 3803, 3821, 3823, 3833, 3847, 3851, 3853, 3863, 3877, 3881, 3889, 3907, 3911, 3917, 3919, 3923, 3929, 3931, 3943, 3947, 3967, 3989
References
^
a
b
c
d
e
Sloane, N. J. A. (ed.).
"Sequence A016754 (Odd squares: a(n) = (2n+1)^2. Also centered octagonal numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Sloane, N. J. A. (ed.).
"Sequence A051624 (12-gonal (or dodecagonal) numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
a
b
c
d
e
Sloane, N. J. A. (ed.).
"Sequence A069099 (Centered heptagonal numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
a
b
c
d
Sloane, N. J. A. (ed.).
"Sequence A001107 (10-gonal (or decagonal) numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
a
b
Sloane, N. J. A. (ed.).
"Sequence A005898 (Centered cube 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.
^
a
b
c
d
e
Sloane, N. J. A. (ed.).
"Sequence A001106 (9-gonal (or enneagonal or nonagonal) numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
a
b
Sloane, N. J. A. (ed.).
"Sequence A002411 (Pentagonal pyramidal numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
a
b
c
d
e
f
Sloane, N. J. A. (ed.).
"Sequence A001844 (Centered square numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Sloane, N. J. A. (ed.).
"Sequence A000073 (Tribonacci numbers)" . The
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^
a
b
c
Sloane, N. J. A. (ed.).
"Sequence A080076 (Proth primes)" . The
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^
a
b
c
d
Sloane, N. J. A. (ed.).
"Sequence A100827 (Highly cototient numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
a
b
c
d
e
Sloane, N. J. A. (ed.).
"Sequence A005282 (Mian-Chowla sequence)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Sloane, N. J. A. (ed.).
"Sequence A000055 (Number of trees with n unlabeled nodes)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
a
b
Sloane, N. J. A. (ed.).
"Sequence A002407 (Cuban primes)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Sloane, N. J. A. (ed.).
"Sequence A332835 (Number of compositions of n whose run-lengths are either weakly increasing or weakly decreasing)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^ Bashelor, Andrew; Ksir, Amy; Traves, Will (2008),
"Enumerative algebraic geometry of conics." (PDF) , Amer. Math. Monthly , 115 (8): 701–728,
doi :
10.1080/00029890.2008.11920584 ,
JSTOR
27642583 ,
MR
2456094 ,
S2CID
16822027
^
a
b
Sloane, N. J. A. (ed.).
"Sequence A000292 (Tetrahedral numbers)" . 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.
^
a
b
Sloane, N. J. A. (ed.).
"Sequence A005900 (Octahedral numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
a
b
c
d
Sloane, N. J. A. (ed.).
"Sequence A006562 (Balanced primes)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Sloane, N. J. A. (ed.).
"Sequence A000931 (Padovan sequence)" . The
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^
a
b
Sloane, N. J. A. (ed.).
"Sequence A002648 (A variant of the cuban primes)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Sloane, N. J. A. (ed.).
"Sequence A007053 (Number of primes <= 2^n)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Sloane, N. J. A. (ed.).
"Sequence A000032 (Lucas numbers)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Sloane, N. J. A. (ed.).
"Sequence A082079 (Balanced primes of order four)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Sloane, N. J. A. (ed.).
"Sequence A007629 (Repfigit (REPetitive FIbonacci-like diGIT) numbers (or Keith numbers))" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Sloane, N. J. A. (ed.).
"Sequence A000013 (Definition (1): Number of n-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Sloane, N. J. A. (ed.).
"Sequence A000011 (Number of n-bead necklaces (turning over is allowed) where complements are equivalent)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Sloane, N. J. A. (ed.).
"Sequence A046528 (Numbers that are a product of distinct Mersenne primes)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^
Sloane, N. J. A. (ed.).
"Sequence A247838 (Numbers n such that sigma(sigma(n)) is prime)" . The
On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^ Lamb, Evelyn (October 25, 2019),
"Farewell to the Fractional Foot" , Roots of Unity, Scientific American
^
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 .
100,000
1,000,000
10,000,000
100,000,000
1,000,000,000