3000 (number)
Encyclopedia
3000 is the natural number
Natural number
In mathematics, the natural numbers are the ordinary whole numbers used for counting and ordering . These purposes are related to the linguistic notions of cardinal and ordinal numbers, respectively...

 following 2999 and preceding 3001. It is the smallest number requiring thirteen letters in English (when "and" is required from 101 forward).
Cardinal
Cardinal number
In mathematics, cardinal numbers, or cardinals for short, are a generalization of the natural numbers used to measure the cardinality of sets. The cardinality of a finite set is a natural number – the number of elements in the set. The transfinite cardinal numbers describe the sizes of infinite...

3000
three thousand
Ordinal
Ordinal number
In set theory, an ordinal number, or just ordinal, is the order type of a well-ordered set. They are usually identified with hereditarily transitive sets. Ordinals are an extension of the natural numbers different from integers and from cardinals...

3000th
three thousandth
Factorization
Factorization
In mathematics, factorization or factoring is the decomposition of an object into a product of other objects, or factors, which when multiplied together give the original...

Roman numeral MMM
Roman numeral (Unicode) MMM, mmm
Binary
Binary numeral system
The binary numeral system, or base-2 number system, represents numeric values using two symbols, 0 and 1. More specifically, the usual base-2 system is a positional notation with a radix of 2...

101110111000
Octal
Octal
The octal numeral system, or oct for short, is the base-8 number system, and uses the digits 0 to 7. Numerals can be made from binary numerals by grouping consecutive binary digits into groups of three...

5670
Duodecimal
Duodecimal
The duodecimal system is a positional notation numeral system using twelve as its base. In this system, the number ten may be written as 'A', 'T' or 'X', and the number eleven as 'B' or 'E'...

18A0
Hexadecimal
Hexadecimal
In mathematics and computer science, hexadecimal is a positional numeral system with a radix, or base, of 16. It uses sixteen distinct symbols, most often the symbols 0–9 to represent values zero to nine, and A, B, C, D, E, F to represent values ten to fifteen...

BB8

In other fields

In the novel The Brothers Karamazov
The Brothers Karamazov
The Brothers Karamazov is the final novel by the Russian author Fyodor Dostoyevsky. Dostoyevsky spent nearly two years writing The Brothers Karamazov, which was published as a serial in The Russian Messenger and completed in November 1880...

 by Fyodor Mikhailovich Dostoevsky, a recurring conflict between Fyodor Pavlovich and his eldest son Dmitri Fyodorovich involves the sum of 3000 roubles
Ruble
The ruble or rouble is a unit of currency. Currently, the currency units of Belarus, Russia, Abkhazia, South Ossetia and Transnistria, and, in the past, the currency units of several other countries, notably countries influenced by Russia and the Soviet Union, are named rubles, though they all are...

.

Mr. 3000
Mr. 3000
Mr. 3000 is a 2004 American sports comedy film starring Bernie Mac and Angela Bassett. The film's plot surrounds a retired Major League Baseball player who makes a comeback at age 47 in order to attain 3,000 hits.-Plot:...

is the title of the 2004 movie starring Bernie Mac
Bernie Mac
Bernard Jeffrey McCullough , better known by his stage name, Bernie Mac, was an American actor and comedian. Born and raised on the South Side of Chicago, Mac gained popularity as a stand-up comedian. He joined comedians Steve Harvey, Cedric the Entertainer, and D. L...

.

3000 is sometimes used (often with comical intent) to represent a year in the distant future. For example, the events of the television series Futurama
Futurama
Futurama is an American animated science fiction sitcom created by Matt Groening and developed by Groening and David X. Cohen for the Fox Broadcasting Company. The series follows the adventures of a late 20th-century New York City pizza delivery boy, Philip J...

take place in 3000.

The number is also used in the title of the comedy series Mystery Science Theater 3000
Mystery Science Theater 3000
Mystery Science Theater 3000 is an American cult television comedy series created by Joel Hodgson and produced by Best Brains, Inc., that ran from 1988 to 1999....

.

The postal code for the downtown core of Melbourne
Melbourne
Melbourne is the capital and most populous city in the state of Victoria, and the second most populous city in Australia. The Melbourne City Centre is the hub of the greater metropolitan area and the Census statistical division—of which "Melbourne" is the common name. As of June 2009, the greater...

, Australia
Australia
Australia , officially the Commonwealth of Australia, is a country in the Southern Hemisphere comprising the mainland of the Australian continent, the island of Tasmania, and numerous smaller islands in the Indian and Pacific Oceans. It is the world's sixth-largest country by total area...

.

André 3000
André 3000
André Lauren Benjamin , better known by his stage name André 3000 is an American rapper, singer-songwriter, multi-instrumentalist, record producer and actor, best known for being part of American hip-hop duo OutKast alongside fellow rapper Big Boi...

 is one of the members of OutKast
OutKast
Outkast is an American hip hop duo based in East Point, Georgia, consisting of Atlanta native André "André 3000" Benjamin and Savannah, Georgia-born Antwan "Big Boi" Patton. They were originally known as Two Shades Deep but later changed the group's name to OutKast...

.

Selected numbers in the range 3001–3999

  • 3003triangular number
    Triangular number
    A triangular number or triangle number numbers the objects that can form an equilateral triangle, as in the diagram on the right. The nth triangle number is the number of dots in a triangle with n dots on a side; it is the sum of the n natural numbers from 1 to n...

    , only number known to appear eight times in Pascal's triangle
    Pascal's triangle
    In mathematics, Pascal's triangle is a triangular array of the binomial coefficients in a triangle. It is named after the French mathematician, Blaise Pascal...

    ; no number is known to appear more than eight times other than 1. (see Singmaster's conjecture)
  • 3023 – 84th Sophie Germain prime
    Sophie Germain prime
    In number theory, a prime number p is a Sophie Germain prime if 2p + 1 is also prime. For example, 23 is a Sophie Germain prime because it is a prime and 2 × 23 + 1 = 47, and 47 is also a prime number...

    , 51st safe prime
    Safe prime
    A safe prime is a prime number of the form 2p + 1, where p is also a prime. The first few safe primes are...

  • 3025 – 55 2, sum of the cubes of the first ten integers, centered octagonal number
    Centered octagonal number
    A centered octagonal number is a centered figurate number that represents an octagon with a dot in the center and all other dots surrounding the center dot in successive octagonal layers...

  • 3045 – sum of the integers 196 to 210 and sum of the integers 211 to 224
  • 3046centered heptagonal number
    Centered heptagonal number
    A centered heptagonal number is a centered figurate number that represents a heptagon with a dot in the center and all other dots surrounding the center dot in successive heptagonal layers...

  • 3052 – decagonal number
  • 3059centered cube number
    Centered cube number
    A centered cube number is a centered figurate number that represents a cube. The centered cube number for n is given byn^3 + ^3.The first few centered cube numbers are...

  • 3063perfect totient number
    Perfect totient number
    In number theory, a perfect totient number is an integer that is equal to the sum of its iterated totients. That is, we apply the totient function to a number n, apply it again to the resulting totient, and so on, until the number 1 is reached, and add together the resulting sequence of numbers;...

  • 3071Thabit number
    Thabit number
    In number theory, a Thabit number, Thâbit ibn Kurrah number, or 321 number is an integer of the form 3·2n−1 for a non-negative integer n...

  • 3075nonagonal number
  • 3078 – 18th pentagonal pyramidal number
    Pentagonal pyramidal number
    A pentagonal pyramidal number is a figurate number that represents the number of objects in a pyramid with a pentagonal base. The nth pentagonal pyramidal number is equal to the sum of the first n pentagonal numbers....

  • 3080pronic number
    Pronic number
    A pronic number, oblong number, rectangular number or heteromecic number, is a number which is the product of two consecutive integers, that is, n . The n-th pronic number is twice the n-th triangular number and n more than the n-th square number...

  • 3081triangular number
    Triangular number
    A triangular number or triangle number numbers the objects that can form an equilateral triangle, as in the diagram on the right. The nth triangle number is the number of dots in a triangle with n dots on a side; it is the sum of the n natural numbers from 1 to n...

    , 497th sphenic number
    Sphenic number
    In number theory, a sphenic number is a positive integer which is the product of three distinct prime numbers.Note that this definition is more stringent than simply requiring the integer to have exactly three prime factors; e.g. 60 = 22 × 3 × 5 has exactly 3 prime factors, but is not sphenic.All...

  • 3087 – sum of first 40 primes
  • 3119safe prime
    Safe prime
    A safe prime is a prime number of the form 2p + 1, where p is also a prime. The first few safe primes are...

  • 3121centered square number
    Centered square number
    In elementary number theory, a centered square number is a centered figurate number that gives the number of dots in a square with a dot in the center and all other dots surrounding the center dot in successive square layers. That is, each centered square number equals the number of dots within a...

  • 3125 – 55
  • 3136 – 562, tribonacci number
  • 3137 – Proth prime
  • 3149highly cototient number
    Highly cototient number
    In number theory, a branch of mathematics, a highly cototient number is a positive integer k which is above one and has more solutions to the equation...

  • 3155 – member of the Mian–Chowla sequence
  • 3160triangular number
    Triangular number
    A triangular number or triangle number numbers the objects that can form an equilateral triangle, as in the diagram on the right. The nth triangle number is the number of dots in a triangle with n dots on a side; it is the sum of the n natural numbers from 1 to n...

  • 3167 – safe prime
  • 3169Cuban prime of the form x = y + 1
  • 3192pronic number
    Pronic number
    A pronic number, oblong number, rectangular number or heteromecic number, is a number which is the product of two consecutive integers, that is, n . The n-th pronic number is twice the n-th triangular number and n more than the n-th square number...

  • 3203 – safe prime
  • 3240triangular number
    Triangular number
    A triangular number or triangle number numbers the objects that can form an equilateral triangle, as in the diagram on the right. The nth triangle number is the number of dots in a triangle with n dots on a side; it is the sum of the n natural numbers from 1 to n...

  • 3248 – member of a Ruth-Aaron pair
    Ruth-Aaron pair
    In mathematics, a Ruth–Aaron pair consists of two consecutive integers for which the sums of the prime factors of each integer are equal:andIf only distinct prime factors are counted, the first few Ruth–Aaron pairs are:...

     with 3249 under second definition, largest number whose factorial
    Factorial
    In mathematics, the factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n...

     is less than 1010000 – hence its factorial is the largest certain advanced computer programs can handle.
  • 3249 – 57 2, centered octagonal number, member of a Ruth–Aaron pair with 3248 under second definition
  • 3256 – centered heptagonal number
  • 3266 – sum of first 41 primes, 523rd sphenic number
    Sphenic number
    In number theory, a sphenic number is a positive integer which is the product of three distinct prime numbers.Note that this definition is more stringent than simply requiring the integer to have exactly three prime factors; e.g. 60 = 22 × 3 × 5 has exactly 3 prime factors, but is not sphenic.All...

  • 3276tetrahedral number
    Tetrahedral number
    A tetrahedral number, or triangular pyramidal number, is a figurate number that represents a pyramid with a triangular base and three sides, called a tetrahedron...

  • 3277 – 5th super-Poulet number, decagonal number
  • 3281octahedral number
    Octahedral number
    In number theory, an octahedral number is a figurate number that represents the number of spheres in an octahedron formed from close-packed spheres...

    , centered square number
  • 3286 – nonagonal number
  • 3299 – 85th Sophie Germain prime
    Sophie Germain prime
    In number theory, a prime number p is a Sophie Germain prime if 2p + 1 is also prime. For example, 23 is a Sophie Germain prime because it is a prime and 2 × 23 + 1 = 47, and 47 is also a prime number...

  • 3306pronic number
    Pronic number
    A pronic number, oblong number, rectangular number or heteromecic number, is a number which is the product of two consecutive integers, that is, n . The n-th pronic number is twice the n-th triangular number and n more than the n-th square number...

  • 3307balanced prime
  • 3313 – balanced prime
  • 3321triangular number
    Triangular number
    A triangular number or triangle number numbers the objects that can form an equilateral triangle, as in the diagram on the right. The nth triangle number is the number of dots in a triangle with n dots on a side; it is the sum of the n natural numbers from 1 to n...

  • 3329 – 86th Sophie Germain prime
    Sophie Germain prime
    In number theory, a prime number p is a Sophie Germain prime if 2p + 1 is also prime. For example, 23 is a Sophie Germain prime because it is a prime and 2 × 23 + 1 = 47, and 47 is also a prime number...

    , Proth prime, member of the Padovan sequence
    Padovan sequence
    The Padovan sequence is the sequence of integers P defined by the initial valuesP=P=P=1,and the recurrence relationP=P+P.The first few values of P are...

  • 3354 – member of the Mian–Chowla sequence
  • 3358 – sum of the squares of the first eleven primes
  • 3359 – 87th Sophie Germain prime
    Sophie Germain prime
    In number theory, a prime number p is a Sophie Germain prime if 2p + 1 is also prime. For example, 23 is a Sophie Germain prime because it is a prime and 2 × 23 + 1 = 47, and 47 is also a prime number...

    , highly cototient number
  • 3364 – 582
  • 3375 – 15th cube
    Cube (arithmetic)
    In arithmetic and algebra, the cube of a number n is its third power — the result of the number multiplying by itself three times:...

  • 3389 – 88th Sophie Germain prime
    Sophie Germain prime
    In number theory, a prime number p is a Sophie Germain prime if 2p + 1 is also prime. For example, 23 is a Sophie Germain prime because it is a prime and 2 × 23 + 1 = 47, and 47 is also a prime number...

  • 3403triangular number
    Triangular number
    A triangular number or triangle number numbers the objects that can form an equilateral triangle, as in the diagram on the right. The nth triangle number is the number of dots in a triangle with n dots on a side; it is the sum of the n natural numbers from 1 to n...

  • 3413 – 89th Sophie Germain prime
    Sophie Germain prime
    In number theory, a prime number p is a Sophie Germain prime if 2p + 1 is also prime. For example, 23 is a Sophie Germain prime because it is a prime and 2 × 23 + 1 = 47, and 47 is also a prime number...

  • 3422pronic number
    Pronic number
    A pronic number, oblong number, rectangular number or heteromecic number, is a number which is the product of two consecutive integers, that is, n . The n-th pronic number is twice the n-th triangular number and n more than the n-th square number...

    , 553rd sphenic number
    Sphenic number
    In number theory, a sphenic number is a positive integer which is the product of three distinct prime numbers.Note that this definition is more stringent than simply requiring the integer to have exactly three prime factors; e.g. 60 = 22 × 3 × 5 has exactly 3 prime factors, but is not sphenic.All...

    , melting point
    Melting point
    The melting point of a solid is the temperature at which it changes state from solid to liquid. At the melting point the solid and liquid phase exist in equilibrium. The melting point of a substance depends on pressure and is usually specified at standard atmospheric pressure...

     of tungsten
    Tungsten
    Tungsten , also known as wolfram , is a chemical element with the chemical symbol W and atomic number 74.A hard, rare metal under standard conditions when uncombined, tungsten is found naturally on Earth only in chemical compounds. It was identified as a new element in 1781, and first isolated as...

     in Celsius
  • 3435 – a perfect digit-to-digit invariant, equal to the sum of its digits to their own powers (33 + 44 + 33 + 55 = 3435)
  • 3439magic constant
    Magic constant
    The magic constant or magic sum of a magic square is the sum of numbers in any row, column, and diagonal of the magic square. For example, the magic square shown below has a magic constant of 15....

     of n×n normal magic square
    Magic square
    In recreational mathematics, a magic square of order n is an arrangement of n2 numbers, usually distinct integers, in a square, such that the n numbers in all rows, all columns, and both diagonals sum to the same constant. A normal magic square contains the integers from 1 to n2...

     and n-queens problem
    Eight queens puzzle
    The eight queens puzzle is the problem of placing eight chess queens on an 8×8 chessboard so that no two queens attack each other. Thus, a solution requires that no two queens share the same row, column, or diagonal...

     for n = 19.
  • 3445centered square number
    Centered square number
    In elementary number theory, a centered square number is a centered figurate number that gives the number of dots in a square with a dot in the center and all other dots surrounding the center dot in successive square layers. That is, each centered square number equals the number of dots within a...

  • 3447 – sum of first 42 primes
  • 3449 – 90th Sophie Germain prime
    Sophie Germain prime
    In number theory, a prime number p is a Sophie Germain prime if 2p + 1 is also prime. For example, 23 is a Sophie Germain prime because it is a prime and 2 × 23 + 1 = 47, and 47 is also a prime number...

  • 3457 – Proth prime
  • 3467 – safe prime
  • 3469Cuban prime of the form x = y + 2
  • 3473 – centered heptagonal number
  • 3481 – 592, centered octagonal number
  • 3486triangular number
    Triangular number
    A triangular number or triangle number numbers the objects that can form an equilateral triangle, as in the diagram on the right. The nth triangle number is the number of dots in a triangle with n dots on a side; it is the sum of the n natural numbers from 1 to n...

  • 3491 – 91st Sophie Germain prime
    Sophie Germain prime
    In number theory, a prime number p is a Sophie Germain prime if 2p + 1 is also prime. For example, 23 is a Sophie Germain prime because it is a prime and 2 × 23 + 1 = 47, and 47 is also a prime number...

  • 3504 – nonagonal number
  • 3510 – decagonal number
  • 3511 – largest known Wieferich prime
    Wieferich prime
    In number theory, a Wieferich prime is a prime number p such that p2 divides 2p − 1 − 1, therefore connecting these primes with Fermat's little theorem, which states that every odd prime p divides 2p − 1 − 1...

  • 3539 – 92nd Sophie Germain prime
    Sophie Germain prime
    In number theory, a prime number p is a Sophie Germain prime if 2p + 1 is also prime. For example, 23 is a Sophie Germain prime because it is a prime and 2 × 23 + 1 = 47, and 47 is also a prime number...

  • 3540pronic number
    Pronic number
    A pronic number, oblong number, rectangular number or heteromecic number, is a number which is the product of two consecutive integers, that is, n . The n-th pronic number is twice the n-th triangular number and n more than the n-th square number...

  • 3569 – highly cototient number
  • 3570triangular number
    Triangular number
    A triangular number or triangle number numbers the objects that can form an equilateral triangle, as in the diagram on the right. The nth triangle number is the number of dots in a triangle with n dots on a side; it is the sum of the n natural numbers from 1 to n...

  • 3571 – 500th prime, Cuban prime of the form x = y + 1, 17th Lucas number
    Lucas number
    The Lucas numbers are an integer sequence named after the mathematician François Édouard Anatole Lucas , who studied both that sequence and the closely related Fibonacci numbers...

    , 4th balanced prime of order 4.
  • 3591 – member of the Mian–Chowla sequence
  • 3593 – 93rd Sophie Germain prime
    Sophie Germain prime
    In number theory, a prime number p is a Sophie Germain prime if 2p + 1 is also prime. For example, 23 is a Sophie Germain prime because it is a prime and 2 × 23 + 1 = 47, and 47 is also a prime number...

  • 3600 – 602, number of seconds in an hour, 1201-gonal number
    Polygonal number
    In mathematics, a polygonal number is a number represented as dots or pebbles arranged in the shape of a regular polygon. The dots were thought of as alphas . These are one type of 2-dimensional figurate numbers.- Definition and examples :...

  • 3610 – 19th pentagonal pyramidal number
    Pentagonal pyramidal number
    A pentagonal pyramidal number is a figurate number that represents the number of objects in a pyramid with a pentagonal base. The nth pentagonal pyramidal number is equal to the sum of the first n pentagonal numbers....

  • 3613centered square number
    Centered square number
    In elementary number theory, a centered square number is a centered figurate number that gives the number of dots in a square with a dot in the center and all other dots surrounding the center dot in successive square layers. That is, each centered square number equals the number of dots within a...

  • 3623 – 94th Sophie Germain prime
    Sophie Germain prime
    In number theory, a prime number p is a Sophie Germain prime if 2p + 1 is also prime. For example, 23 is a Sophie Germain prime because it is a prime and 2 × 23 + 1 = 47, and 47 is also a prime number...

    , safe prime
  • 3637 – balanced prime
  • 3638 – sum of first 43 primes, 599th sphenic number
    Sphenic number
    In number theory, a sphenic number is a positive integer which is the product of three distinct prime numbers.Note that this definition is more stringent than simply requiring the integer to have exactly three prime factors; e.g. 60 = 22 × 3 × 5 has exactly 3 prime factors, but is not sphenic.All...

  • 3654tetrahedral number
    Tetrahedral number
    A tetrahedral number, or triangular pyramidal number, is a figurate number that represents a pyramid with a triangular base and three sides, called a tetrahedron...

  • 3655triangular number
    Triangular number
    A triangular number or triangle number numbers the objects that can form an equilateral triangle, as in the diagram on the right. The nth triangle number is the number of dots in a triangle with n dots on a side; it is the sum of the n natural numbers from 1 to n...

    , 601st sphenic number
    Sphenic number
    In number theory, a sphenic number is a positive integer which is the product of three distinct prime numbers.Note that this definition is more stringent than simply requiring the integer to have exactly three prime factors; e.g. 60 = 22 × 3 × 5 has exactly 3 prime factors, but is not sphenic.All...

  • 3660pronic number
    Pronic number
    A pronic number, oblong number, rectangular number or heteromecic number, is a number which is the product of two consecutive integers, that is, n . The n-th pronic number is twice the n-th triangular number and n more than the n-th square number...

  • 3684 – 13th Keith number
  • 3697 – centered heptagonal number
  • 3721 – 612, centered octagonal number
  • 3729 – nonagonal number
  • 3733 – balanced prime
  • 3741triangular number
    Triangular number
    A triangular number or triangle number numbers the objects that can form an equilateral triangle, as in the diagram on the right. The nth triangle number is the number of dots in a triangle with n dots on a side; it is the sum of the n natural numbers from 1 to n...

    , 618th sphenic number
    Sphenic number
    In number theory, a sphenic number is a positive integer which is the product of three distinct prime numbers.Note that this definition is more stringent than simply requiring the integer to have exactly three prime factors; e.g. 60 = 22 × 3 × 5 has exactly 3 prime factors, but is not sphenic.All...

  • 3751 – decagonal number
  • 3761 – 95th Sophie Germain prime
    Sophie Germain prime
    In number theory, a prime number p is a Sophie Germain prime if 2p + 1 is also prime. For example, 23 is a Sophie Germain prime because it is a prime and 2 × 23 + 1 = 47, and 47 is also a prime number...

  • 3779 – 96th Sophie Germain prime
    Sophie Germain prime
    In number theory, a prime number p is a Sophie Germain prime if 2p + 1 is also prime. For example, 23 is a Sophie Germain prime because it is a prime and 2 × 23 + 1 = 47, and 47 is also a prime number...

    , safe prime
  • 3782pronic number
    Pronic number
    A pronic number, oblong number, rectangular number or heteromecic number, is a number which is the product of two consecutive integers, that is, n . The n-th pronic number is twice the n-th triangular number and n more than the n-th square number...

    , 623rd sphenic number
    Sphenic number
    In number theory, a sphenic number is a positive integer which is the product of three distinct prime numbers.Note that this definition is more stringent than simply requiring the integer to have exactly three prime factors; e.g. 60 = 22 × 3 × 5 has exactly 3 prime factors, but is not sphenic.All...

  • 3785centered square number
    Centered square number
    In elementary number theory, a centered square number is a centered figurate number that gives the number of dots in a square with a dot in the center and all other dots surrounding the center dot in successive square layers. That is, each centered square number equals the number of dots within a...

  • 3797 – member of the Mian–Chowla sequence
  • 3803 – 97th Sophie Germain prime
    Sophie Germain prime
    In number theory, a prime number p is a Sophie Germain prime if 2p + 1 is also prime. For example, 23 is a Sophie Germain prime because it is a prime and 2 × 23 + 1 = 47, and 47 is also a prime number...

    , safe prime
  • 3821 – 98th Sophie Germain prime
    Sophie Germain prime
    In number theory, a prime number p is a Sophie Germain prime if 2p + 1 is also prime. For example, 23 is a Sophie Germain prime because it is a prime and 2 × 23 + 1 = 47, and 47 is also a prime number...

  • 3828triangular number
    Triangular number
    A triangular number or triangle number numbers the objects that can form an equilateral triangle, as in the diagram on the right. The nth triangle number is the number of dots in a triangle with n dots on a side; it is the sum of the n natural numbers from 1 to n...

  • 3831 – sum of first 44 primes
  • 3844 – 622
  • 3851 – 99th Sophie Germain prime
    Sophie Germain prime
    In number theory, a prime number p is a Sophie Germain prime if 2p + 1 is also prime. For example, 23 is a Sophie Germain prime because it is a prime and 2 × 23 + 1 = 47, and 47 is also a prime number...

  • 3863 – 100th Sophie Germain prime
    Sophie Germain prime
    In number theory, a prime number p is a Sophie Germain prime if 2p + 1 is also prime. For example, 23 is a Sophie Germain prime because it is a prime and 2 × 23 + 1 = 47, and 47 is also a prime number...

  • 3865 – greater of third pair of Smith brothers
    Smith number
    A Smith number is a composite number for which, in a given base , the sum of its digits is equal to the sum of the digits in its prime factorization. For example, 378 = 2 × 3 × 3 × 3 × 7 is a Smith number since 3 + 7 + 8 =...

  • 3888 – longest number when expressed in Roman numerals I, V, X, L, C, D, and M (MMMDCCCLXXXVIII)
  • 3889Cuban prime of the form x = y + 2
  • 3894octahedral number
    Octahedral number
    In number theory, an octahedral number is a figurate number that represents the number of spheres in an octahedron formed from close-packed spheres...

  • 3906pronic number
    Pronic number
    A pronic number, oblong number, rectangular number or heteromecic number, is a number which is the product of two consecutive integers, that is, n . The n-th pronic number is twice the n-th triangular number and n more than the n-th square number...

  • 3911 – 101st Sophie Germain prime
    Sophie Germain prime
    In number theory, a prime number p is a Sophie Germain prime if 2p + 1 is also prime. For example, 23 is a Sophie Germain prime because it is a prime and 2 × 23 + 1 = 47, and 47 is also a prime number...

  • 3916triangular number
    Triangular number
    A triangular number or triangle number numbers the objects that can form an equilateral triangle, as in the diagram on the right. The nth triangle number is the number of dots in a triangle with n dots on a side; it is the sum of the n natural numbers from 1 to n...

  • 3925 – centered cube number
  • 3926 – 12th open meandric number, 654th sphenic number
    Sphenic number
    In number theory, a sphenic number is a positive integer which is the product of three distinct prime numbers.Note that this definition is more stringent than simply requiring the integer to have exactly three prime factors; e.g. 60 = 22 × 3 × 5 has exactly 3 prime factors, but is not sphenic.All...

  • 3928 – centered heptagonal number
  • 3947 – safe prime
  • 3961 – nonagonal number, centered square number
  • 3967Carol 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 (MMMCMXCIX)
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