3000 (number)

Selected numbers in the range 3001–3999

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.
• 3019 – super-prime, happy number
• 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, prime number mentioned in a question during a quiz in Little Man Tate, where it was asked what its factors were, and the response was that it has none, since it is indeed Prime.
• 3071 – Thabit number
• 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
• 3125 – 5⁵
• 3136 – 56², palindromic in base 3, tribonacci number
• 3137 – Proth prime, both a left- and right- truncatable prime
• 3149 – highly cototient number
• 3155 – member of the Mian–Chowla sequence
• 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
• 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, centered octagonal number, member of a Ruth–Aaron pair with 3248 under second definition
• 3253 – sum of eleven consecutive primes
• 3256 – centered heptagonal number
• 3259 – super-prime, completes the ninth prime quadruplet set
• 3264 – solution to Steiner's conic problem: number of smooth conics tangent to 5 given conics in general position
• 3266 – sum of first 41 primes, 523rd sphenic number
• 3276 – tetrahedral number
• 3277 – 5th super-Poulet number, decagonal number
• 3281 – octahedral number, centered square number
• 3286 – nonagonal number
• 3299 – 85th Sophie Germain prime, super-prime

  3300 to 3399

• 3301 – a normal prime number
• 3306 – pronic number
• 3307 – balanced prime
• 3313 – balanced prime, star number
• 3319 – super-prime, happy number
• 3321 – triangular number
• 3329 – 86th Sophie Germain prime, Proth prime, member of the Padovan sequence
• 3354 – member of the Mian–Chowla sequence
• 3358 – sum of the squares of the first eleven primes
• 3359 – 87th Sophie Germain prime, highly cototient number
• 3364 – 58²
• 3367 – 15³ - 2³ = 16³ - 9³ = 34³ - 33³
• 3375 – 15³, palindromic in base 14, 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
• 3439 – magic constant of n×n normal magic square and n-queens problem for n = 19.
• 3445 – centered square number
• 3447 – sum of first 42 primes
• 3449 – 90th Sophie Germain prime
• 3457 – Proth prime
• 3463 – Happy number
• 3467 – safe prime
• 3469 – super-prime, Cuban prime of the form x = y + 2, completes the tenth prime quadruplet set
• 3473 – centered heptagonal number
• 3481 – 59², centered octagonal number
• 3486 – triangular number
• 3491 – 91st Sophie Germain prime

  3500 to 3599

• 3504 – nonagonal number
• 3510 – decagonal number
• 3511 – largest known Wieferich prime
• 3517 – super-prime, sum of nine consecutive primes
• 3539 – 92nd Sophie Germain prime
• 3540 – pronic number
• 3559 – super-prime
• 3569 – highly cototient number
• 3570 – triangular number
• 3571 – 500th prime, Cuban prime of the form x = y + 1, 17th Lucas number, 4th balanced prime of order 4.
• 3591 – member of the Mian–Chowla sequence
• 3593 – 93rd Sophie Germain prime, super-prime

  3600 to 3699

• 3600 – 60², number of seconds in an hour, called šār or šāru in the sexagesimal system of Ancient Mesopotamia, 1201-gonal number
• 3601 – star number
• 3610 – 19th pentagonal pyramidal number
• 3613 – centered square number
• 3617 – sum of eleven consecutive primes
• 3623 – 94th Sophie Germain prime, safe prime
• 3637 – balanced prime, super-prime
• 3638 – sum of first 43 primes, 599th sphenic number
• 3643 – Happy number, sum of seven consecutive primes
• 3654 – tetrahedral number
• 3655 – triangular number, 601st sphenic number
• 3660 – pronic number
• 3684 – 13th Keith number
• 3697 – centered heptagonal number

  3700 to 3799

• 3721 – 61², centered octagonal number
• 3729 – nonagonal number
• 3733 – balanced prime, super-prime
• 3741 – triangular number, 618th sphenic number
• 3751 – decagonal number
• 3761 – 95th Sophie Germain prime, super-prime
• 3779 – 96th Sophie Germain prime, safe prime
• 3782 – pronic number, 623rd sphenic number
• 3785 – centered square number
• 3797 – member of the Mian–Chowla sequence, both a left- and right- truncatable prime

  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
• 3844 – 62²
• 3851 – 99th Sophie Germain prime
• 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
• 3889 – Cuban prime of the form x = y + 2
• 3894 – octahedral number

  3900 to 3999

• 3901 – star number
• 3906 – pronic number
• 3911 – 101st Sophie Germain prime, super-prime
• 3916 – triangular number
• 3925 – centered cube number
• 3926 – 12th open meandric number, 654th sphenic number
• 3928 – centered heptagonal number
• 3937 – product of distinct Mersenne primes, 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 into a 3x4x5 box
• 3943 – super-prime
• 3947 – safe prime
• 3961 – nonagonal number, centered square number
• 3967 – Carol number
• 3969 – 63², centered octagonal number
• 3989 – highly cototient number
• 3998 – member of the Mian–Chowla sequence
• 3999 – largest number properly expressible using Roman numerals I, V, X, L, C, D, and M, ignoring vinculum