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THABIT NUMBER

  • Thabit number
  • Integer of the form 3 × 2^n – 1 for non-negative n

    In number theory, a Thabit number, Thâbit ibn Qurra number, or 321 number is an integer of the form 3 ⋅ 2 n − 1 {\displaystyle 3\cdot 2^{n}-1} for a non-negative

    Thabit number

    Thabit_number

  • 95 (number)
  • Natural number

    of distinct semiprimes 93, 94, and 95. 95 is the smallest composite Thabit number. 95 is the smallest integer for which the Mertens function is greater

    95 (number)

    95_(number)

  • Thābit ibn Qurra
  • Medieval Sabian scholar (c. 830–901)

    Thābit ibn Qurra (full name: Abū al-Ḥasan Ṯābit ibn Qurra ibn Zahrūn al-Ḥarrānī al-Ṣābiʾ, Arabic: أبو الحسن ثابت بن قرة بن زهرون الحراني الصابئ, Latin:

    Thābit ibn Qurra

    Thābit_ibn_Qurra

  • 700 (number)
  • Natural number

    + 71 + 73 + 79 + 83 + 89). 767 = 13 × 59. It is a palindromic number and a Thabit number because 767 = 28 × 3 − 1 768 = 28 × 3. It is the sum of eight

    700 (number)

    700_(number)

  • 3000 (number)
  • Natural number

    cube number 3063 – perfect totient number 3067 – super-prime 3071 – Thabit number 3075 – nonagonal number 3080 – pronic number 3081 – triangular number, 497th

    3000 (number)

    3000_(number)

  • 300 (number)
  • Natural number

    a Woodall prime, a Thabit number, an Eisenstein prime with no imaginary part, and a palindromic prime. It is also the first number where the sum of a

    300 (number)

    300_(number)

  • Thabit
  • Name list

    journalist Thabit ibn Qays, companion of Muhammad Thabit ibn Qurra (826–901), Baghdadi mathematician and astronomer Thabit number Tabit (town) (or Thabit), Sudan

    Thabit

    Thabit

  • 6000 (number)
  • Natural number

    800th prime number, twin prime with 6131 6143 – Thabit number 6173 – Sophie Germain prime 6174 – Kaprekar's constant 6181 – octahedral number 6200 – harmonic

    6000 (number)

    6000_(number)

  • 10,000
  • Natural number

    12285 = amicable number with 14595 12287 = Thabit number 12288 = 3-smooth number (212×3). 12289 = Proth prime, Pierpont prime 12310 = number of partitions

    10,000

    10,000

  • Amicable numbers
  • Pair of integers related by their divisors

    (2004)]. The Thābit ibn Qurrah theorem is a method for discovering amicable numbers invented in the 9th century by the Arab mathematician Thābit ibn Qurrah

    Amicable numbers

    Amicable numbers

    Amicable_numbers

  • 1000 (number)
  • Natural number

    with 9 unlabeled edges, 1535 = 5 × 307. It is a Thabit number. 1537 = 29 × 53. It is a Keith number. 1539 = 34 × 19. A maximum of 1539 pieces can be

    1000 (number)

    1000_(number)

  • Zayd ibn Thabit
  • Arabic scribe and Qur'anic collator (c.611-c.666)

    Zāyd bin Thābit (Arabic: زيد بن ثابت, romanized: Zayd ibn Thābit) was the personal scribe of the Islamic prophet Muhammad, serving as the chief recorder

    Zayd ibn Thabit

    Zayd_ibn_Thabit

  • Natural number
  • Number used for counting

    natural-number results: subtracting a larger natural number from a smaller one results in a negative number and dividing one natural number by another

    Natural number

    Natural number

    Natural_number

  • Perfect number
  • Number equal to the sum of its proper divisors

    In number theory, a perfect number is a positive integer that is equal to the sum of its positive proper divisors, that is, divisors excluding the number

    Perfect number

    Perfect number

    Perfect_number

  • Prime number
  • Number divisible only by 1 and itself

    A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that

    Prime number

    Prime number

    Prime_number

  • 47 (number)
  • Natural number

    numerous places, including many Star Trek episodes. 47 is a safe prime, a Thabit prime, a regular prime, a cluster prime, an isolated prime, a Ramanujan

    47 (number)

    47_(number)

  • Abdullah Thabit
  • Saudi Arabian writer

    Saudi daily Al-Watan. Thabit has published several volumes of poetry. He has also written a bestselling novel titled Terrorist Number 20 (2006). The book

    Abdullah Thabit

    Abdullah_Thabit

  • Composite number
  • Integer having a non-trivial divisor

    A composite number is a positive integer that can be formed by multiplying two smaller positive integers. Accordingly, it is a positive integer that has

    Composite number

    Composite number

    Composite_number

  • Williams number
  • Class of numbers in number theory

    every b ≥ 2, there are infinitely many Williams primes for base b. Thabit number Williams primes See Table 1 in the last page of the paper: Williams

    Williams number

    Williams_number

  • 383 (number)
  • Natural number

    natural number following 382 and preceding 384. 383 is the 76th prime number. As a prime, it is also a safe prime, a Woodall prime, a Thabit prime, a

    383 (number)

    383_(number)

  • Triangular number
  • Figurate number

    The triangular lattice representing the n {\displaystyle n} th triangular number contains n {\displaystyle n} rows: the first row contains one point, the

    Triangular number

    Triangular number

    Triangular_number

  • Fibonacci sequence
  • Numbers obtained by adding the two previous ones

    month, the number of pairs of rabbits is equal to the number of mature pairs (that is, the number of pairs in month n – 2) plus the number of pairs alive

    Fibonacci sequence

    Fibonacci sequence

    Fibonacci_sequence

  • Square number
  • Product of an integer with itself

    In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with

    Square number

    Square number

    Square_number

  • Khuzayma ibn Thabit
  • Khuzayma ibn Thabit Dhu al-Shahadatayn[citation needed] al-Ansari (Arabic: خزيمة بن ثابت ذو الشهادتين الأنصاري, romanized: Khuzayma ibn Thābit Dhū al-Shahādatayn

    Khuzayma ibn Thabit

    Khuzayma_ibn_Thabit

  • Congruent number
  • Area of a right triangle with rational-numbered sides

    In number theory, a congruent number is a positive integer that is the area of a right triangle with three rational number sides. A more general definition

    Congruent number

    Congruent number

    Congruent_number

  • Fermat number
  • Positive integer of the form (2^(2^n))+1

    In mathematics, a Fermat number, named after Pierre de Fermat (1601–1665), the first known to have studied them, is a positive integer of the form: F n

    Fermat number

    Fermat_number

  • Ibn Thabit
  • cultural figures have been arrested and tortured in a number of countries during the Arab Spring. Ibn Thabit considers himself to be an ordinary Libyan who is

    Ibn Thabit

    Ibn_Thabit

  • Highly composite number
  • Numbers with many divisors

    highly composite number is a positive integer that has more divisors than all smaller positive integers. If d(n) denotes the number of divisors of a positive

    Highly composite number

    Highly_composite_number

  • Double Mersenne number
  • Number of form 2^(2^p-1)-1 with prime exponent

    In mathematics, a double Mersenne number is a Mersenne number of the form M M p = 2 2 p − 1 − 1 {\displaystyle M_{M_{p}}=2^{2^{p}-1}-1} where p {\displaystyle

    Double Mersenne number

    Double_Mersenne_number

  • Happy number
  • Numbers with a certain property involving recursive summation

    In number theory, a happy number is a number which eventually reaches 1 when the number is replaced by the sum of the square of each digit. For instance

    Happy number

    Happy number

    Happy_number

  • Timeline of number theory
  • al-Khujandi first states a special case of Fermat's Last Theorem. 895 — Thabit ibn Qurra gives a theorem by which pairs of amicable numbers can be found

    Timeline of number theory

    Timeline_of_number_theory

  • Palindromic number
  • Number that remains the same when its digits are reversed

    A palindromic number (also known as a numeral palindrome or a numeric palindrome) is a number (such as 16361) that remains the same when its digits are

    Palindromic number

    Palindromic_number

  • Lucas number
  • Infinite integer series where the next number is the sum of the two preceding it

    numbers two terms apart in the Fibonacci sequence results in the Lucas number in between. The first few Lucas numbers are 2, 1, 3, 4, 7, 11, 18, 29, 47

    Lucas number

    Lucas number

    Lucas_number

  • Mersenne prime
  • Prime number of the form 2^n – 1

    mathematics, a Mersenne prime is a prime number that is one less than a power of two. That is, it is a prime number of the form Mn = 2n − 1 for some integer

    Mersenne prime

    Mersenne_prime

  • Sierpiński number
  • Odd number with specific properties

    In number theory, a Sierpiński number is an odd natural number k such that k × 2 n + 1 {\displaystyle k\times 2^{n}+1} is composite for all natural numbers

    Sierpiński number

    Sierpiński_number

  • Smooth number
  • Integer having only small prime factors

    In number theory, an n-smooth (or n-friable) number is an integer whose prime factors are all less than or equal to n. For example, a 7-smooth number is

    Smooth number

    Smooth_number

  • Polygonal number
  • Type of figurate number

    In mathematics, a polygonal number is a number that counts dots arranged in the shape of a regular polygon. These are one type of 2-dimensional figurate

    Polygonal number

    Polygonal_number

  • Asim ibn Thabit
  • Sahabi (Companion) of Muhammad

    ʿAaṣim ibn Thābit (Arabic: عاصم بن ثابت) was one of the Ansar, a person belonging to one of the first generations of Muslims and who helped Muhammad after

    Asim ibn Thabit

    Asim_ibn_Thabit

  • Catalan number
  • Recursive integer sequence

    they were previously discovered in the 1730s by Minggatu. The n-th Catalan number can be expressed directly in terms of the central binomial coefficients

    Catalan number

    Catalan number

    Catalan_number

  • Harshad number
  • Integer divisible by sum of its digits

    In recreational mathematics, a Harshad number (or Niven number) in a given number base is an integer that is divisible by the sum of its digits when written

    Harshad number

    Harshad_number

  • Knödel number
  • Composite number with special property

    In number theory, an n-Knödel number for a given positive integer n is a composite number m with the property that each i < m coprime to m satisfies i

    Knödel number

    Knödel_number

  • Figurate number
  • Size of a geometric arrangement of points

    The term figurate number is used by different writers for members of different sets of numbers, generalizing from triangular numbers to different shapes

    Figurate number

    Figurate number

    Figurate_number

  • Abundant number
  • Number that is less than the sum of its proper divisors

    In number theory, an abundant number or excessive number is a positive integer for which the sum of its proper divisors is greater than the number. The

    Abundant number

    Abundant number

    Abundant_number

  • List of prime numbers
  • number (or prime) is a natural number greater than 1 that has no divisors other than 1 and itself. By Euclid's theorem, there is an infinite number of

    List of prime numbers

    List_of_prime_numbers

  • Pell number
  • Number used to approximate the square root of 2

    starts with 0 and 1, and then each Pell number is the sum of twice the previous Pell number, plus the Pell number before that. The first few terms of the

    Pell number

    Pell number

    Pell_number

  • Quasiperfect number
  • Numbers whose sum of divisors is twice the number plus 1

    unsolved problems in mathematics In mathematics, a quasiperfect number is a natural number n for which the sum of all its divisors (the sum-of-divisors function

    Quasiperfect number

    Quasiperfect_number

  • Carmichael number
  • Composite number in number theory

    In number theory, a Carmichael number is a composite number ⁠ n {\displaystyle n} ⁠ which in modular arithmetic satisfies the congruence relation: b n

    Carmichael number

    Carmichael number

    Carmichael_number

  • Friendly number
  • Two or more natural numbers with a common abundancy index

    In number theory, friendly numbers are two or more natural numbers with a common abundancy index, the ratio between the sum of divisors of a number and

    Friendly number

    Friendly_number

  • Polite number
  • Type of integer in number theory

    In number theory, a polite number is a positive integer that can be written as the sum of two or more consecutive positive integers. A positive integer

    Polite number

    Polite number

    Polite_number

  • Self number
  • Type of natural number

    In number theory, a self number in a given number base b {\displaystyle b} is a natural number that cannot be written as the sum of any other natural

    Self number

    Self_number

  • Power of two
  • Two raised to an integer power

    A power of two is a number of the form 2n where n is an integer, that is, the result of exponentiation with the number two as the base and integer n as

    Power of two

    Power of two

    Power_of_two

  • Squared triangular number
  • Square of a triangular number

    In number theory, the sum of the first n cubes is the square of the nth triangular number. That is, 1 3 + 2 3 + 3 3 + ⋯ + n 3 = ( 1 + 2 + 3 + ⋯ + n ) 2

    Squared triangular number

    Squared triangular number

    Squared_triangular_number

  • Tetrahedral number
  • Polyhedral number representing a tetrahedron

    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

    Tetrahedral number

    Tetrahedral number

    Tetrahedral_number

  • Superior highly composite number
  • Class of natural numbers with many divisors

    In number theory, a superior highly composite number is a natural number which, in a particular rigorous sense, has many divisors. Particularly, it is

    Superior highly composite number

    Superior highly composite number

    Superior_highly_composite_number

  • Löschian number
  • Number of the form x^2 + xy + y^2

    In number theory, the numbers of the form x2 + xy + y2 for integer x, y are called the Löschian numbers (or Loeschian numbers). These numbers are named

    Löschian number

    Löschian_number

  • Uthmanic codex
  • The Quran collected by Uthman Ibn Affan

    Quran: Zayd ibn Thabit, Abd Allah ibn al-Zubayr, Sa'id ibn al-'As, and 'Abd al-Rahman ibn al-Harith ibn Hisham, then he gave Zayd ibn Thabit and the three

    Uthmanic codex

    Uthmanic_codex

  • Ta'abbata Sharran
  • Arab poet

    Thabit ibn Jaber, better known by his epithet Ta'abbata Sharran (Arabic: تأبط شرا, romanized: Ta'abbaṭa Sharrā; lived late 6th century or early 7th century

    Ta'abbata Sharran

    Ta'abbata_Sharran

  • Kaprekar number
  • Base-dependent property of integers

    In mathematics, a natural number in a given number base is a p {\displaystyle p} -Kaprekar number if the representation of its square in that base can

    Kaprekar number

    Kaprekar_number

  • Centered hexagonal number
  • Number that represents a hexagon with a dot in the center

    mathematics and combinatorics, a centered hexagonal number, or centered hexagon number, is a centered figurate number that represents a hexagon with a dot in the

    Centered hexagonal number

    Centered hexagonal number

    Centered_hexagonal_number

  • Schröder number
  • Mathematical integer sequence

    mathematics, the Schröder number S n , {\displaystyle S_{n},} also called a large Schröder number or big Schröder number, describes the number of lattice paths

    Schröder number

    Schröder_number

  • Narcissistic number
  • Concept in number theory

    In number theory, a narcissistic number (also known as a pluperfect digital invariant (PPDI), an Armstrong number (after Michael F. Armstrong) or a plus

    Narcissistic number

    Narcissistic_number

  • Woodall number
  • Number of the form (n * 2^n) - 1

    number theory, a Woodall number (Wn) is any natural number of the form W n = n ⋅ 2 n − 1 {\displaystyle W_{n}=n\cdot 2^{n}-1} for some natural number

    Woodall number

    Woodall_number

  • Cyclic number
  • Integer whose multiples are digit rotations

    A cyclic number is an integer for which cyclic permutations of the digits are successive integer multiples of the number. The most widely known is the

    Cyclic number

    Cyclic_number

  • Lucky number
  • Integer filtered out using a sieve similar to that of Eratosthenes

    In number theory, a lucky number is a natural number in a set which is generated by a certain "sieve". This sieve is similar to the sieve of Eratosthenes

    Lucky number

    Lucky_number

  • Automorphic number
  • Number whose square ends in the same digits

    In mathematics, an automorphic number (sometimes referred to as a circular number) is a natural number in a given number base b {\displaystyle b} whose

    Automorphic number

    Automorphic_number

  • Super-Poulet number
  • Type of Poulet number

    In number theory, a super-Poulet number is a Poulet number, or pseudoprime to base 2, whose every divisor d {\displaystyle d} divides 2 d − 2 {\displaystyle

    Super-Poulet number

    Super-Poulet_number

  • Parasitic number
  • Number that when multiplied by another number moves its last digit to its front

    In mathematics, an n-parasitic number (in base 10) is a positive natural number which, when multiplied by n, results in movement of the last digit of its

    Parasitic number

    Parasitic_number

  • Cullen number
  • Mathematical concept

    Cullen number is a member of the integer sequence C n = n ⋅ 2 n + 1 {\displaystyle C_{n}=n\cdot 2^{n}+1} (where n {\displaystyle n} is a natural number). Cullen

    Cullen number

    Cullen_number

  • Pentagonal number
  • Figurate number

    A pentagonal number is a figurate number that extends the concept of triangular and square numbers to the pentagon, but, unlike the first two, the patterns

    Pentagonal number

    Pentagonal number

    Pentagonal_number

  • Regular number
  • Numbers that evenly divide powers of 60

    and have different names coming from their different areas of study. In number theory, these numbers are called 5-smooth, because they can be characterized

    Regular number

    Regular number

    Regular_number

  • Extravagant number
  • Number that has fewer digits than the number of digits in its prime factorization

    In number theory, an extravagant number (also known as a wasteful number) is a natural number in a given number base that has fewer digits than the number

    Extravagant number

    Extravagant_number

  • Square triangular number
  • Integer that is both a perfect square and a triangular number

    mathematics, a square triangular number (or triangular square number) is a number which is both a triangular number and a square number, in other words, the sum

    Square triangular number

    Square triangular number

    Square_triangular_number

  • Semiprime
  • Product of two prime numbers

    In number theory, a semiprime is a natural number that is the product of exactly two prime numbers. The two primes in the product may equal each other

    Semiprime

    Semiprime

  • Vampire number
  • Type of composite number with an even number of digits

    recreational mathematics, a vampire number (or true vampire number) is a composite natural number with an even number of digits, that can be factored into

    Vampire number

    Vampire_number

  • Euler number
  • Integers occurring in the coefficients of the Taylor series of 1/cosh t

    combinatorics, specifically when counting the number of alternating permutations of a set with an even number of elements. The odd-indexed Euler numbers

    Euler number

    Euler_number

  • Euclid number
  • Product of prime numbers, plus one

    there are infinitely many prime numbers. A Euclid number of the second kind (also called Kummer number) is an integer of the form En = pn # − 1, where pn #

    Euclid number

    Euclid_number

  • Deficient number
  • Number that is more than the sum of its proper divisors

    In number theory, a deficient number or defective number is a positive integer n for which the sum of divisors of n is less than 2n. Equivalently, it

    Deficient number

    Deficient number

    Deficient_number

  • Centered polygonal number
  • Class of series of figurate numbers, each having a central dot

    k-gonal number contains k more dots than the previous layer. Each centered k-gonal number in the series is k times the previous triangular number, plus

    Centered polygonal number

    Centered polygonal number

    Centered_polygonal_number

  • Keith number
  • Type of number introduced by Mike Keith

    mathematics, a Keith number or repfigit number (short for repetitive Fibonacci-like digit) is a natural number n {\displaystyle n} in a given number base b {\displaystyle

    Keith number

    Keith_number

  • Erdős–Nicolas number
  • In math, a number that is equal to the sum of some of its factors

    In number theory, an Erdős–Nicolas number is a number that is not perfect, but that equals one of the partial sums of its divisors. That is, a number n

    Erdős–Nicolas number

    Erdős–Nicolas_number

  • Rough number
  • Positive integer with large prime factors

    A k-rough number, as defined by Finch in 2001 and 2003, is a positive integer whose prime factors are all greater than or equal to k. k-roughness has alternately

    Rough number

    Rough_number

  • Størmer number
  • Number n where the highest prime factor of (n^2 + 1) is at least 2n

    In mathematics, a Størmer number or arc-cotangent irreducible number is a positive integer n {\displaystyle n} for which the greatest prime factor of n

    Størmer number

    Størmer_number

  • Wieferich prime
  • Prime such that p^2 divides 2^(p-1)-1

    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

    Wieferich prime

    Wieferich_prime

  • Lychrel number
  • Number, non-palindrome after repeated sum with reverse

    numbers exist? More unsolved problems in mathematics A Lychrel number is a natural number that cannot form a palindrome through the iterative process of

    Lychrel number

    Lychrel_number

  • Cube (algebra)
  • Number raised to the third power

    algebra, the cube of a number n is its third power, that is, the result of multiplying three instances of n together. The cube of a number n is denoted n3,

    Cube (algebra)

    Cube (algebra)

    Cube_(algebra)

  • Harranians
  • Polytheistic astral religion of ancient Harran

    almost fifty years and worked, like Thabit, within the rationalist tradition of Ptolemy. Thabit's son Sinan ibn Thabit served as court physician to three

    Harranians

    Harranians

    Harranians

  • Hilbert number
  • Positive integer of the form 4n + 1

    In number theory, a branch of mathematics, a Hilbert number is a positive integer of the form 4n + 1 (Flannery & Flannery (2000, p. 35)). The Hilbert numbers

    Hilbert number

    Hilbert_number

  • Semiperfect number
  • Number equal to the sum of all or some of its divisors

    In number theory, a semiperfect number or pseudoperfect number is a natural number n equal to the sum of all or some of its proper divisors. A semiperfect

    Semiperfect number

    Semiperfect number

    Semiperfect_number

  • Riesel number
  • Odd number with specific properties

    In mathematics, a Riesel number is an odd natural number k for which k × 2 n − 1 {\displaystyle k\times 2^{n}-1} is composite for all natural numbers

    Riesel number

    Riesel_number

  • Telephone number (mathematics)
  • Number of ways to pair up n objects

    These numbers also describe the number of matchings (the Hosoya index) of a complete graph on n vertices, the number of permutations on n elements that

    Telephone number (mathematics)

    Telephone number (mathematics)

    Telephone_number_(mathematics)

  • Jacobsthal number
  • Numbers in a type of Lucas sequence

    starts with 0 and 1, then each following number is found by adding the number before it to twice the number before that. The first Jacobsthal numbers

    Jacobsthal number

    Jacobsthal_number

  • Idoneal number
  • Mathematical concept in prime numbers

    power. In particular, a number that has two distinct representations as a sum of two squares is composite. Every idoneal number generates a set containing

    Idoneal number

    Idoneal_number

  • Hexagonal number
  • Type of figurate number

    A hexagonal number is a figurate number. The nth hexagonal number hn is the number of distinct dots in a pattern of dots consisting of the outlines of

    Hexagonal number

    Hexagonal number

    Hexagonal_number

  • Multiply perfect number
  • Number whose divisors add to a multiple of that number

    perfect number (also called multiperfect number or pluperfect number) is a generalization of a perfect number. For a given natural number k, a number n is

    Multiply perfect number

    Multiply perfect number

    Multiply_perfect_number

  • Arithmetic function
  • Function whose domain is the positive integers

    log e ⁡ ( x ) {\displaystyle \log _{e}(x)} . In number theory, an arithmetic, arithmetical, or number-theoretic function is generally any function whose

    Arithmetic function

    Arithmetic_function

  • Cake number
  • Concept in combinatorics

    In mathematics, the cake number, denoted by Cn, is the maximum of the number of regions into which a 3-dimensional cube can be partitioned by exactly

    Cake number

    Cake number

    Cake_number

  • Persistence of a number
  • Property of a number

    In mathematics, the persistence of a number is the number of times one must apply a given operation to an integer before reaching a fixed point at which

    Persistence of a number

    Persistence_of_a_number

  • Pandigital number
  • Integer whose representation contains every digit in its number base

    In mathematics, a pandigital number is an integer that in a given base has among its significant digits each digit used in the base at least once. For

    Pandigital number

    Pandigital_number

  • Pyramidal number
  • Figurate number

    A pyramidal number is the number of points in a pyramid with a polygonal base and triangular sides. The term often refers to square pyramidal numbers,

    Pyramidal number

    Pyramidal number

    Pyramidal_number

  • Perfect totient number
  • Number that is the sum of its iterated totients

    In number theory, a perfect totient number is an integer that is equal to the sum of its iterated totients. That is, one applies the totient function

    Perfect totient number

    Perfect_totient_number

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