3001 to 3099 •
3001 –
super-prime; divides the
Euclid number 2999# + 1 •
3003 –
triangular number, only number known to appear eight times in
Pascal's triangle; no number is known to appear more than eight times other than 1. (see
Singmaster's conjecture) •
3019 –
super-prime,
happy prime •
3023 – 84th
Sophie Germain prime, 51st
safe prime •
3025 = 552, sum of the cubes of the first ten integers,
centered octagonal number,
dodecagonal number •
3037 –
star number,
cousin prime with 3041 •
3045 – sum of the integers 196 to 210
and sum of the integers 211 to 224 •
3046 –
centered heptagonal number •
3052 –
decagonal number •
3059 –
centered cube number •
3061 – prime of the form 2p-1 •
3063 –
perfect totient number •
3067 –
super-prime •
3071 –
Thabit number •
3072 –
3-smooth number (210×3) •
3075 –
nonagonal number •
3078 – 18th
pentagonal pyramidal number •
3080 –
pronic number •
3081 – triangular number, 497th
sphenic number •
3087 – sum of first 40 primes
3100 to 3199 •
3109 –
super-prime •
3119 –
safe prime •
3121 –
centered square number,
emirp, largest
minimal prime in
quinary. •
3125 – a solution to the expression n^n, where n=5 (3125=5^5). •
3136 = 562, palindromic in
ternary (110220113),
tribonacci number •
3137 –
Proth prime, both a left- and right-
truncatable prime •
3149 –
highly cototient number •
3150 = 153 - 152 •
3155 – member of the
Mian–Chowla sequence •
3159 = number of trees with 14 unlabeled nodes •
3160 –
triangular number •
3167 – safe prime •
3169 –
super-prime,
Cuban prime of the form x=y+1. •
3192 –
pronic number 3200 to 3299 •
3203 – safe prime •
3207 – number of compositions of 14 whose run-lengths are either weakly increasing or weakly decreasing •
3229 –
super-prime •
3240 –
triangular number •
3248 – member of a
Ruth-Aaron pair with 3249 under second definition, largest number whose
factorial is less than 1010000 – hence its factorial is the largest certain advanced computer programs can handle. •
3249 = 572, palindromic in base 7 (123217), centered octagonal number, •
3277 – 5th
super-Poulet number, decagonal number centered square number •
3313 – balanced prime,
star number •
3354 – member of the Mian–Chowla sequence •
3363/2378 ≈
√2 •
3364 = 582 •
3367 = 153 - 23 = 163 - 93 = 343 - 333 •
3375 = 153, palindromic in base 14 (133114), 15th
cube •
3389 – 88th
Sophie Germain prime 3400 to 3499 •
3403 –
triangular number •
3407 –
super-prime •
3413 – 89th
Sophie Germain prime, sum of the first 5 nn: 3413 = 11 + 22 + 33 + 44 + 55 •
3422 –
pronic number, 553rd
sphenic number,
melting point of
tungsten in
degrees Celsius •
3435 – a
perfect digit-to-digit invariant, equal to the sum of its digits to their own powers (33 + 44 + 33 + 55 = 3435) •
3439 –
magic constant of
n×
n normal
magic square and
n-queens problem for
n = 19. •
3445 –
centered square number •
3473 – centered heptagonal number •
3517 –
super-prime, sum of nine consecutive primes (367 + 373 + 379 + 383 + 389 + 397 + 401 + 409 + 419) •
3539 – 92nd
Sophie Germain prime •
3540 –
pronic number •
3559 –
super-prime •
3569 –
highly cototient number 4th
balanced prime of order 4. •
3591 – member of the Mian–Chowla sequence •
3697 – centered heptagonal number •
3782 –
pronic number, 623rd
sphenic number •
3785 –
centered square number •
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 •
3916 –
triangular number •
3925 – centered cube number repeated sum of divisors is prime, denominator of conversion factor from meter to
US survey foot •
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 •
3960 – largely composite number •
3961 – nonagonal number,: 632 − 2 = 3,967 •
3969 = 632, centered octagonal number :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==