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 [ edit ]
3001 to 3099 [ edit ]
3100 to 3199 [ edit ]
3200 to 3299 [ edit ]
3300 to 3399 [ edit ]
3400 to 3499 [ edit ]
3500 to 3599 [ edit ]
3600 to 3699 [ edit ]
3700 to 3799 [ edit ]
3800 to 3899 [ edit ]
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 [ edit ]
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 [ edit ]
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 [ edit ]
^ 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 On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^ a b c Sloane, N. J. A. (ed.). "Sequence A080076 (Proth primes)" . The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^ 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 On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
^ 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