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POLLARDS P-1-ALGORITHM

  • Pollard's p − 1 algorithm
  • Special-purpose algorithm for factoring integers

    Pollard's p − 1 algorithm is a number theoretic integer factorization algorithm, invented by John Pollard in 1974. It is a special-purpose algorithm, meaning

    Pollard's p − 1 algorithm

    Pollard's_p_−_1_algorithm

  • Williams's p + 1 algorithm
  • Integer factorization algorithm

    theory, Williams's p + 1 algorithm is an integer factorization algorithm, one of the family of algebraic-group factorisation algorithms. It was invented

    Williams's p + 1 algorithm

    Williams's_p_+_1_algorithm

  • Pollard's kangaroo algorithm
  • Algorithm in computational number theory

    and computational algebra, Pollard's kangaroo algorithm (also Pollard's lambda algorithm, see Naming below) is an algorithm for solving the discrete logarithm

    Pollard's kangaroo algorithm

    Pollard's_kangaroo_algorithm

  • Pollard's rho algorithm
  • Integer factorization algorithm

    Pollard's rho algorithm is an algorithm for integer factorization. It was invented by John Pollard in 1975. It uses only a small amount of space, and its

    Pollard's rho algorithm

    Pollard's_rho_algorithm

  • Pollard
  • Topics referred to by the same term

    Several algorithms created by British mathematician John Pollard: Pollard's kangaroo algorithm Pollard's p1 algorithm Pollard's rho algorithm Pollard (coin)

    Pollard

    Pollard

  • RSA cryptosystem
  • Algorithm for public-key cryptography

    for p and q is trivial. Furthermore, if either p1 or q − 1 has only small prime factors, n can be factored quickly by Pollard's p1 algorithm, and

    RSA cryptosystem

    RSA_cryptosystem

  • P1
  • Topics referred to by the same term

    single-stranded DNA as well as RNA Period 1 of the periodic table Pollard's p1 algorithm for integer factorization P-ONE - a proposed neutrino detector P1

    P1

    P1

  • Integer factorization
  • Decomposition of a number into a product

    Brent. Algebraic-group factorization algorithms, among which are Pollard's p1 algorithm, Williams' p + 1 algorithm, and Lenstra elliptic curve factorization

    Integer factorization

    Integer_factorization

  • In-place algorithm
  • Type of computer science algorithm

    In computer science, an in-place algorithm is an algorithm that operates directly on the input data structure without requiring extra space proportional

    In-place algorithm

    In-place_algorithm

  • Pollard's rho algorithm for logarithms
  • Mathematical algorithm

    Pollard's rho algorithm for logarithms is an algorithm introduced by John Pollard in 1978 to solve the discrete logarithm problem, analogous to Pollard's

    Pollard's rho algorithm for logarithms

    Pollard's_rho_algorithm_for_logarithms

  • Lenstra elliptic-curve factorization
  • Algorithm for integer factorization

    with n ≠ (1 or n), so when simplifying fails, a non-trivial divisor of n is found. Analogous to the two-stage variant of Pollard's p1 algorithm, Lenstra

    Lenstra elliptic-curve factorization

    Lenstra_elliptic-curve_factorization

  • List of algorithms
  • Dixon's algorithm Fermat's factorization method General number field sieve Lenstra elliptic curve factorization Pollard's p − 1 algorithm Pollard's rho algorithm

    List of algorithms

    List_of_algorithms

  • John Pollard (mathematician)
  • British mathematician

    John M. Pollard (born 1941) is a British mathematician who has invented algorithms for the factorization of large numbers and for the calculation of discrete

    John Pollard (mathematician)

    John_Pollard_(mathematician)

  • Prime95
  • Freeware application to search for primes

    factor. As of 2024, test candidates are mainly filtered using Pollard's p1 algorithm. Trial division is implemented, but Prime95 is rarely used for

    Prime95

    Prime95

  • Euclidean algorithm
  • Algorithm for computing greatest common divisors

    In mathematics, the Euclidean algorithm, or Euclid's algorithm, is an efficient method for computing the greatest common divisor (GCD) of two integers

    Euclidean algorithm

    Euclidean algorithm

    Euclidean_algorithm

  • Shor's algorithm
  • Quantum algorithm for integer factorization

    Shor's algorithm is a quantum algorithm for finding the prime factors of an integer. It was developed in 1994 by the American mathematician Peter Shor

    Shor's algorithm

    Shor's_algorithm

  • Karatsuba algorithm
  • Algorithm for integer multiplication

    The Karatsuba algorithm is a fast multiplication algorithm for integers. It was discovered by Anatoly Karatsuba in 1960 and published in 1962. It is a

    Karatsuba algorithm

    Karatsuba algorithm

    Karatsuba_algorithm

  • List of number theory topics
  • Lucas–Lehmer test for Mersenne numbers AKS primality test Pollard's p − 1 algorithm Pollard's rho algorithm Lenstra elliptic curve factorization Quadratic sieve

    List of number theory topics

    List_of_number_theory_topics

  • Timeline of algorithms
  • march algorithm developed by R. A. Jarvis 1973 – Hopcroft–Karp algorithm developed by John Hopcroft and Richard Karp 1974 – Pollard's p − 1 algorithm developed

    Timeline of algorithms

    Timeline_of_algorithms

  • Tonelli–Shanks algorithm
  • Algorithm used in modular arithmetic

    Tonelli–Shanks algorithm (referred to by Shanks as the RESSOL algorithm) is used in modular arithmetic to solve for r in a congruence of the form r2 ≡ n (mod p), where

    Tonelli–Shanks algorithm

    Tonelli–Shanks_algorithm

  • Great Internet Mersenne Prime Search
  • Volunteer project using software to search for Mersenne prime numbers

    to rapidly eliminate many Mersenne numbers with small factors. Pollard's p − 1 algorithm is also used to search for smooth factors. The variant of LL used

    Great Internet Mersenne Prime Search

    Great Internet Mersenne Prime Search

    Great_Internet_Mersenne_Prime_Search

  • Strong prime
  • Type of prime number

    two strong primes. This makes the factorization of n = pq using Pollard's p − 1 algorithm computationally infeasible. For this reason, strong primes are

    Strong prime

    Strong_prime

  • Smooth number
  • Integer having only small prime factors

    n-powersmooth numbers have applications in number theory, such as in Pollard's p1 algorithm and ECM. Such applications are often said to work with "smooth

    Smooth number

    Smooth_number

  • Grover's algorithm
  • Quantum search algorithm

    In quantum computing, Grover's algorithm, also known as the quantum search algorithm, is a quantum algorithm for unstructured search that finds with high

    Grover's algorithm

    Grover's_algorithm

  • Safe and Sophie Germain primes
  • Prime pair of the form (p, 2p+1)

    prevent the system being broken by some factorization algorithms such as Pollard's p1 algorithm. However, with the current factorization technology,

    Safe and Sophie Germain primes

    Safe_and_Sophie_Germain_primes

  • Division algorithm
  • Method for division with remainder

    A division algorithm is an algorithm which, given two integers N and D (respectively the numerator and the denominator), computes their quotient and/or

    Division algorithm

    Division_algorithm

  • AKS primality test
  • Algorithm checking for prime numbers

    Technology Kanpur, on August 6, 2002, in an article titled "PRIMES is in P". The algorithm was the first one which is able to determine in polynomial time, whether

    AKS primality test

    AKS_primality_test

  • Schönhage–Strassen algorithm
  • Multiplication algorithm

    The Schönhage–Strassen algorithm is an asymptotically fast multiplication algorithm for large integers, published by Arnold Schönhage and Volker Strassen

    Schönhage–Strassen algorithm

    Schönhage–Strassen algorithm

    Schönhage–Strassen_algorithm

  • Lenstra–Lenstra–Lovász lattice basis reduction algorithm
  • Algorithm in computational number theory

    Lenstra–Lenstra–Lovász (LLL) lattice basis reduction algorithm is a polynomial time lattice reduction algorithm invented by Arjen Lenstra, Hendrik Lenstra and

    Lenstra–Lenstra–Lovász lattice basis reduction algorithm

    Lenstra–Lenstra–Lovász_lattice_basis_reduction_algorithm

  • Discrete logarithm
  • Problem of inverting exponentiation in groups

    calculus algorithm Number field sieve Pohlig–Hellman algorithm Pollard's rho algorithm for logarithms Pollard's kangaroo algorithm (aka Pollard's lambda

    Discrete logarithm

    Discrete logarithm

    Discrete_logarithm

  • Extended Euclidean algorithm
  • Method for computing the relation of two integers with their greatest common divisor

    and computer programming, the extended Euclidean algorithm is an extension to the Euclidean algorithm, and computes, in addition to the greatest common

    Extended Euclidean algorithm

    Extended_Euclidean_algorithm

  • Multiplication algorithm
  • Algorithm to multiply two numbers

    multiplication algorithm is an algorithm (or method) to multiply two numbers. Depending on the size of the numbers, different algorithms are more efficient

    Multiplication algorithm

    Multiplication_algorithm

  • Pohlig–Hellman algorithm
  • Algorithm for computing logarithms

    theory, the Pohlig–Hellman algorithm, sometimes credited as the Silver–Pohlig–Hellman algorithm, is a special-purpose algorithm for computing discrete logarithms

    Pohlig–Hellman algorithm

    Pohlig–Hellman algorithm

    Pohlig–Hellman_algorithm

  • Discrete logarithm records
  • Best results achieved to date

    edu/cgi-bin/wa.exe?A2=ind1305&L=NMBRTHRY&F=&S=&P=3034. Antoine Joux. A new index calculus algorithm with complexity $L(1/4+o(1))$ in very small characteristic, 2013

    Discrete logarithm records

    Discrete_logarithm_records

  • Sieve of Eratosthenes
  • Ancient algorithm for generating prime numbers

    In mathematics, the sieve of Eratosthenes is an ancient algorithm for finding all prime numbers up to any given limit. It does so by iteratively marking

    Sieve of Eratosthenes

    Sieve of Eratosthenes

    Sieve_of_Eratosthenes

  • Baby-step giant-step
  • Algorithm for solving the discrete logarithm problem

    branch of mathematics, the baby-step giant-step is a meet-in-the-middle algorithm for computing the discrete logarithm or order of an element in a finite

    Baby-step giant-step

    Baby-step_giant-step

  • Cycle detection
  • On finding a repeating loop in a sequence

    are possible. The classic example is Pollard's rho algorithm for integer factorization, which searches for a factor p of a given number n by looking for

    Cycle detection

    Cycle_detection

  • Cipolla's algorithm
  • Cipolla's algorithm is a technique for solving a congruence of the form x 2 ≡ n ( mod p ) , {\displaystyle x^{2}\equiv n{\pmod {p}},} where x , n ∈ F p {\displaystyle

    Cipolla's algorithm

    Cipolla's_algorithm

  • Integer relation algorithm
  • Mathematical procedure

    that a 1 x 1 + a 2 x 2 + ⋯ + a n x n = 0. {\displaystyle a_{1}x_{1}+a_{2}x_{2}+\cdots +a_{n}x_{n}=0.\,} An integer relation algorithm is an algorithm for

    Integer relation algorithm

    Integer_relation_algorithm

  • Solovay–Strassen primality test
  • Probabilistic primality test

    number p and any integer a, a ( p1 ) / 2 ≡ ( a p ) ( mod p ) {\displaystyle a^{(p-1)/2}\equiv \left({\frac {a}{p}}\right){\pmod {p}}} where ( a p ) {\displaystyle

    Solovay–Strassen primality test

    Solovay–Strassen_primality_test

  • Binary GCD algorithm
  • Algorithm for computing the greatest common divisor

    The binary GCD algorithm, also known as Stein's algorithm or the binary Euclidean algorithm, is an algorithm that computes the greatest common divisor

    Binary GCD algorithm

    Binary GCD algorithm

    Binary_GCD_algorithm

  • Miller–Rabin primality test
  • Probabilistic primality test

    or Rabin–Miller primality test is a probabilistic primality test: an algorithm which determines whether a given number is likely to be prime, similar

    Miller–Rabin primality test

    Miller–Rabin_primality_test

  • Toom–Cook multiplication
  • Algorithm for multiplying large numbers

    introduced the new algorithm with its low complexity, and Stephen Cook, who cleaned the description of it, is a multiplication algorithm for large integers

    Toom–Cook multiplication

    Toom–Cook_multiplication

  • Quadratic sieve
  • Integer factorization algorithm

    The quadratic sieve algorithm (QS) is an integer factorization algorithm and, in practice, the second-fastest method known (after the general number field

    Quadratic sieve

    Quadratic_sieve

  • Schoof's algorithm
  • Efficient algorithm to count points on elliptic curves

    Schoof's algorithm is an efficient algorithm to count points on elliptic curves over finite fields. The algorithm has applications in elliptic curve cryptography

    Schoof's algorithm

    Schoof's_algorithm

  • Greatest common divisor
  • Largest integer that divides given integers

    9, 1) → (12, 9, 1) → (6, 9, 1) → (3, 9, 1) → (3, 3, 1) ; the original GCD is thus the product 6 of 2d = 21 and a = b = 3. The binary GCD algorithm is

    Greatest common divisor

    Greatest_common_divisor

  • Chakravala method
  • Cyclic algorithm to solve indeterminate quadratic equations

    The chakravala method (Sanskrit: चक्रवाल विधि) is a cyclic algorithm to solve indeterminate quadratic equations, including Pell's equation. It is commonly

    Chakravala method

    Chakravala_method

  • Berlekamp–Rabin algorithm
  • Method in number theory

    finding algorithm, also called the Berlekamp–Rabin algorithm, is the probabilistic method of finding roots of polynomials over the field F p {\displaystyle

    Berlekamp–Rabin algorithm

    Berlekamp–Rabin algorithm

    Berlekamp–Rabin_algorithm

  • Integer square root
  • Greatest integer less than or equal to square root

    algorithm. Algorithm  SqrtRem ( n = a 3 b 3 + a 2 b 2 + a 1 b + a 0 ) {\displaystyle {\text{Algorithm }}{\text{SqrtRem}}(n=a_{3}b^{3}+a_{2}b^{2}+a_{1}b+a_{0})}

    Integer square root

    Integer_square_root

  • Special number field sieve
  • Special-purpose integer factorization algorithm

    number field sieve (SNFS) is a special-purpose integer factorization algorithm. The general number field sieve (GNFS) was derived from it. The special

    Special number field sieve

    Special_number_field_sieve

  • Richard P. Brent
  • Australian mathematician and computer scientist

    of the Pollard rho algorithm. He later factored the tenth and eleventh Fermat numbers using Lenstra's elliptic curve factorisation algorithm. In 2002

    Richard P. Brent

    Richard_P._Brent

  • Dixon's factorization method
  • Algorithm in number theory

    (also Dixon's random squares method or Dixon's algorithm) is a general-purpose integer factorization algorithm; it is the prototypical factor base method

    Dixon's factorization method

    Dixon's_factorization_method

  • Elliptic curve primality
  • Methods to test or prove primality

    Goldwasser and Joe Kilian in 1986 and turned into an algorithm by A. O. L. Atkin in the same year. The algorithm was altered and improved by several collaborators

    Elliptic curve primality

    Elliptic_curve_primality

  • Sieve of Pritchard
  • Algorithm for generating prime numbers

    In mathematics, the sieve of Pritchard is an algorithm for finding all prime numbers up to a specified bound. Like the ancient sieve of Eratosthenes,

    Sieve of Pritchard

    Sieve of Pritchard

    Sieve_of_Pritchard

  • Generation of primes
  • Algorithms to generate prime numbers

    In computational number theory, a variety of algorithms make it possible to generate prime numbers efficiently. These are used in various applications

    Generation of primes

    Generation_of_primes

  • Sieve of Sundaram
  • Algorithm for generating prime numbers

    simple deterministic algorithm for finding all the prime numbers up to a specified integer. It was discovered by Indian student S. P. Sundaram in 1934.

    Sieve of Sundaram

    Sieve_of_Sundaram

  • Index calculus algorithm
  • Probabilistic algorithm for computing discrete logarithms

    In computational number theory, the index calculus algorithm is a probabilistic algorithm for computing discrete logarithms. Dedicated to the discrete

    Index calculus algorithm

    Index_calculus_algorithm

  • Adleman–Pomerance–Rumely primality test
  • Algorithm for determining whether a number is prime

    Adleman–Pomerance–Rumely primality test is an algorithm for determining whether a number is prime. Unlike other, more efficient algorithms for this purpose, it avoids the

    Adleman–Pomerance–Rumely primality test

    Adleman–Pomerance–Rumely_primality_test

  • Ancient Egyptian multiplication
  • Multiplication algorithm

    ancient Egypt the concept of base 2 did not exist, the algorithm is essentially the same algorithm as long multiplication after the multiplier and multiplicand

    Ancient Egyptian multiplication

    Ancient_Egyptian_multiplication

  • Sieve of Atkin
  • Algorithm for generating prime numbers

    In mathematics, the sieve of Atkin is a modern algorithm for finding all prime numbers up to a specified integer. Compared with the ancient sieve of Eratosthenes

    Sieve of Atkin

    Sieve_of_Atkin

  • Rational sieve
  • Integer factorization algorithm

    In mathematics, the rational sieve is a general algorithm for factoring integers into prime factors. It is a special case of the general number field

    Rational sieve

    Rational_sieve

  • Elliptic-curve cryptography
  • Approach to public-key cryptography

    _{q}} . Because all the fastest known algorithms that allow one to solve the ECDLP (baby-step giant-step, Pollard's rho, etc.), need O ( n ) {\displaystyle

    Elliptic-curve cryptography

    Elliptic-curve_cryptography

  • Lucas primality test
  • Algorithm for checking if a number is prime

    exponentiation algorithm like binary or addition-chain exponentiation). The algorithm can be written in pseudocode as follows: algorithm lucas_primality_test

    Lucas primality test

    Lucas_primality_test

  • Lehmer's GCD algorithm
  • Fast greatest common divisor algorithm

    GCD algorithm, named after D. H. Lehmer, is a fast GCD algorithm for multiple-precision arithmetic, which improves on the simpler Euclidean algorithm by

    Lehmer's GCD algorithm

    Lehmer's_GCD_algorithm

  • Shanks's square forms factorization
  • Integer factorization algorithm

    The algorithm: (Phase 1, forward cycle.) Initialize i = 0 , P 0 = ⌊ k N ⌋ , Q − 1 = 1 , Q 0 = k N − P 0 2 . {\displaystyle {\begin{aligned}i&=0,\\P_{0}&=\lfloor

    Shanks's square forms factorization

    Shanks's_square_forms_factorization

  • Modular exponentiation
  • Exponentation in modular arithmetic

    instance by using extended Euclidean algorithm). More precisely: c = be mod m = d−e mod m, where e < 0 and b ⋅ d ≡ 1 (mod m). Modular exponentiation is

    Modular exponentiation

    Modular_exponentiation

  • Counting points on elliptic curves
  • cryptosystem. This article covers algorithms to count points on elliptic curves over fields of large characteristic, in particular p > 3. For curves over fields

    Counting points on elliptic curves

    Counting_points_on_elliptic_curves

  • Long division
  • Standard division algorithm for multi-digit numbers

    In arithmetic, long division is a standard division algorithm suitable for dividing multi-digit numbers that is simple enough to perform by hand. It breaks

    Long division

    Long_division

  • General number field sieve
  • Factorization algorithm

    classical algorithm known for factoring integers larger than 10100. Heuristically, its complexity for factoring an integer n (consisting of ⌊log2 n⌋ + 1 bits)

    General number field sieve

    General_number_field_sieve

  • Korkine–Zolotarev lattice basis reduction algorithm
  • Korkine–Zolotarev (KZ) lattice basis reduction algorithm or Hermite–Korkine–Zolotarev (HKZ) algorithm is a lattice reduction algorithm. For lattices in R n {\displaystyle

    Korkine–Zolotarev lattice basis reduction algorithm

    Korkine–Zolotarev_lattice_basis_reduction_algorithm

  • Fermat primality test
  • Probabilistic primality test

    if p is prime and a is not divisible by p, then a p11 ( mod p ) . {\displaystyle a^{p-1}\equiv 1{\pmod {p}}.} If one wants to test whether p is

    Fermat primality test

    Fermat_primality_test

  • Lucas–Lehmer–Riesel test
  • Primality test for certain numbers

    the fastest deterministic algorithm known for numbers of that form.[citation needed] For numbers of the form N = k · 2n + 1 (Proth numbers), either application

    Lucas–Lehmer–Riesel test

    Lucas–Lehmer–Riesel_test

  • EdDSA
  • Digital signature scheme

    In public-key cryptography, Edwards-curve Digital Signature Algorithm (EdDSA) is a digital signature scheme using a variant of Schnorr signature based

    EdDSA

    EdDSA

  • Cornacchia's algorithm
  • Number-theoretic algorithm

    Cornacchia's algorithm is an algorithm for solving the Diophantine equation x 2 + d y 2 = m {\displaystyle x^{2}+dy^{2}=m} , where 1 ≤ d < m {\displaystyle 1\leq

    Cornacchia's algorithm

    Cornacchia's_algorithm

  • Pocklington's algorithm
  • Pocklington's algorithm is a technique for solving a congruence of the form x 2 ≡ a ( mod p ) , {\displaystyle x^{2}\equiv a{\pmod {p}},} where x and

    Pocklington's algorithm

    Pocklington's_algorithm

  • PageRank
  • Algorithm used by Google Search to rank web pages

    PageRank (PR) is an algorithm used by Google Search to rank web pages in their search engine results. It is named after both the term "web page" and co-founder

    PageRank

    PageRank

    PageRank

  • Proth's theorem
  • Primality test for numbers of a certain form

    we may infer that p is probably composite - this is in contrast to the probably prime results typical of other Monte Carlo algorithms such as the Miller-Rabin

    Proth's theorem

    Proth's_theorem

  • Continued fraction factorization
  • factorization method (CFRAC) is an integer factorization algorithm. It is a general-purpose algorithm, meaning that it is suitable for factoring any integer

    Continued fraction factorization

    Continued_fraction_factorization

  • Wheel factorization
  • Algorithm for generating numbers coprime with first few primes

    list of initial prime numbers constitute complete parameters for the algorithm to generate the remainder of the list. These generators are referred to

    Wheel factorization

    Wheel factorization

    Wheel_factorization

  • Trial division
  • Integer factorization algorithm

    most laborious but easiest to understand of the integer factorization algorithms. The essential idea behind trial division tests to see if an integer n

    Trial division

    Trial_division

  • Trachtenberg system
  • System of rapid mental calculation

    This article presents some methods devised by Trachtenberg. Some of the algorithms Trachtenberg developed are for general multiplication, division and addition

    Trachtenberg system

    Trachtenberg_system

  • Sample complexity
  • Attribute of machine learning models

    The sample complexity of a machine learning algorithm represents the number of training-samples that it needs in order to successfully learn a target

    Sample complexity

    Sample_complexity

  • Nghttp2
  • HTTP/2 library in C

    tools to decompress and compress using the HPACK header compression algorithm. nghttp3 is an implementation of HTTP/3 in C and authored by Tsujikawa

    Nghttp2

    Nghttp2

  • Baillie–PSW primality test
  • Probabilistic primality testing algorithm

    primality test is a probabilistic or possibly deterministic primality testing algorithm that determines whether a number is composite or is a probable prime.

    Baillie–PSW primality test

    Baillie–PSW_primality_test

  • Function field sieve
  • Algorithm to solve the discrete logarithm problem

    Algorithm. Let C ( x , y ) {\displaystyle C(x,y)} be a polynomial defining an algebraic curve over a finite field F p {\displaystyle \mathbb {F} _{p}}

    Function field sieve

    Function_field_sieve

  • Computational number theory
  • Study of algorithms for performing number theoretic computations

    Testing. Springer-Verlag. ISBN 0-387-97040-1. Joe P. Buhler; Peter Stevenhagen, eds. (2008). Algorithmic Number Theory: Lattices, Number Fields, Curves

    Computational number theory

    Computational_number_theory

  • Lucas–Lehmer primality test
  • Test if a Mersenne number is prime

    Let Mp = 2p − 1 be the Mersenne number to test with p an odd prime. The primality of p can be efficiently checked with a simple algorithm like trial division

    Lucas–Lehmer primality test

    Lucas–Lehmer primality test

    Lucas–Lehmer_primality_test

  • Pépin's test
  • Primality test for Fermat numbers

    F_{n}} by repeated squaring. This makes the test a fast polynomial-time algorithm. However, Fermat numbers grow so rapidly that only a handful of Fermat

    Pépin's test

    Pépin's_test

  • Elliptic curve point multiplication
  • Mathematical operation on points on an elliptic curve

    exponentiation. The algorithm works as follows: To compute sP, start with the binary representation for s: ⁠ s = s 0 + 2 s 1 + 2 2 s 2 + ⋯ + 2 n − 1 s n − 1 {\displaystyle

    Elliptic curve point multiplication

    Elliptic_curve_point_multiplication

  • Computer algebra
  • Scientific area at the interface between computer science and mathematics

    division algorithm: for polynomials in several indeterminates Pollard's kangaroo algorithm (also known as Pollard's lambda algorithm): an algorithm for solving

    Computer algebra

    Computer algebra

    Computer_algebra

  • Quadratic Frobenius test
  • developing the algorithm was to provide a test that primes would always pass and composites would pass with a probability of less than 1/7710. The test

    Quadratic Frobenius test

    Quadratic_Frobenius_test

  • Silhouette (clustering)
  • Quality measure in cluster analysis

    2004.10073. Van der Laan, Mark; Pollard, Katherine; Bryan, Jennifer (2003). "A new partitioning around medoids algorithm". Journal of Statistical Computation

    Silhouette (clustering)

    Silhouette_(clustering)

  • Prime number
  • Number divisible only by 1 and itself

    factorization algorithms are known, they are slower than the fastest primality testing methods. Trial division and Pollard's rho algorithm can be used to

    Prime number

    Prime number

    Prime_number

  • MACS (software)
  • Peak finding software

    Sean; Holloway, Alisha K.; Pollard, Katherine S. (2017-05-01). "Features that define the best ChIP-seq peak calling algorithms". Briefings in Bioinformatics

    MACS (software)

    MACS_(software)

  • Elliptic-curve Diffie–Hellman
  • Key agreement protocol

    {\displaystyle x_{0}(tQ)} requires about O ( p 1 / 2 ) {\displaystyle O(p^{1/2})} time using the Pollards rho algorithm. The most famous example of Montgomery

    Elliptic-curve Diffie–Hellman

    Elliptic-curve_Diffie–Hellman

  • 2026 Makerfield by-election
  • UK parliamentary by-election

    May 2026. Rentoul, John (26 May 2026). "Reform vs Restore – how the 'algorithm election' could split the hard right for good". The Independent. Archived

    2026 Makerfield by-election

    2026 Makerfield by-election

    2026_Makerfield_by-election

  • Birthday attack
  • Type of cryptographic attack

    contract, not just the fraudulent one. Pollard's rho algorithm for logarithms is an example for an algorithm using a birthday attack for the computation

    Birthday attack

    Birthday_attack

  • Pocklington primality test
  • Number-theoretic algorithm

    that there is no prime p {\displaystyle p} dividing N − 1 {\displaystyle N-1} where p > N − 1 {\displaystyle p>{\sqrt {N}}-1} . The following generalized

    Pocklington primality test

    Pocklington_primality_test

  • Amphetamine
  • Central nervous system stimulant

    [supplementation] with zinc is not integrated in any ADHD treatment algorithm. Scholze P, Nørregaard L, Singer EA, Freissmuth M, Gether U, Sitte HH (June

    Amphetamine

    Amphetamine

    Amphetamine

  • Euler's factorization method
  • Mathematical for factoring integers

    made Euler's factorization method disfavoured for computer factoring algorithms, since any user attempting to factor a random integer is unlikely to know

    Euler's factorization method

    Euler's_factorization_method

AI & ChatGPT searchs for online references containing POLLARDS P-1-ALGORITHM

POLLARDS P-1-ALGORITHM

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POLLARDS P-1-ALGORITHM

  • Ulrike
  • Girl/Female

    Australian, British, Danish, English, German

    Ulrike

    Mistress of All; Power of the Home; World Ruler; P

    Ulrike

  • Wollard
  • Surname or Lastname

    English

    Wollard

    English : variant of Wolford.

    Wollard

  • Cap
  • Surname or Lastname

    Ukrainian, Jewish (from Ukraine), Polish, Serbian, and Hungarian (Cáp)

    Cap

    Ukrainian, Jewish (from Ukraine), Polish, Serbian, and Hungarian (Cáp) : from Ukrainian tsap ‘billy goat’, Polish cap, and so probably a nickname for someone thought to resemble the animal in some way or perhaps a metonymic occupational name for a goat herd.Czech (Čáp) : nickname for a tall or long-legged man, from čáp ‘stork’.Southern French : from Occitan cap ‘head’ (Latin caput); probably a nickname for a person with something distinctive about his head. The word was often used in the metaphorical sense ‘chief’, ‘principal’, and the surname may also have denoted a leader or a village elder. In some cases it may also be a topographic name from the same word used in the sense of a promontory or headland.Americanized spelling of German Kapp.English : variant spelling of Capp.

    Cap

  • Pollard
  • Surname or Lastname

    English

    Pollard

    English : nickname for a person with a large or unusually shaped head, from Middle English poll ‘head’ (Middle Low German polle ‘(top of the) head’) + the pejorative suffix -ard. The term pollard in the sense denoting an animal that has had its horns lopped is not recorded before the 16th century, and as applied to a tree the word is not recorded until the 17th century; so both these senses are almost certainly too late to have contributed to the surname.English : pejorative derivative of the personal name Paul. The surname has been established in Ireland since the 14th century.

    Pollard

  • Freese
  • Surname or Lastname

    North German form of Fries 1.Dutch

    Freese

    North German form of Fries 1.Dutch : variant of Frese.English : metonymic occupational name for a weaver of frieze, a coarse woolen cloth with a thick nap, Old French frise.

    Freese

  • Pollyrd
  • Boy/Male

    British, English

    Pollyrd

    Shorn Head

    Pollyrd

  • Pollerd
  • Boy/Male

    British, English

    Pollerd

    Shorn Head

    Pollerd

  • Sarina |
  • Girl/Female

    Muslim

    Sarina |

    Serene, Tranquil (1)

    Sarina |

  • Aaliyah |
  • Girl/Female

    Muslim

    Aaliyah |

    Tall, Towering (1)

    Aaliyah |

  • Collard
  • Surname or Lastname

    English and French

    Collard

    English and French : from the personal name Coll + the pejorative suffix -ard.

    Collard

  • FÜLÖP
  • Male

    Hungarian

    FÜLÖP

    Hungarian form of English Philip, FÜLÖP means "lover of horses."

    FÜLÖP

  • Bollard
  • Surname or Lastname

    English and Irish

    Bollard

    English and Irish : according to MacLysaght, this is a surname of Dutch origin which was taken to Ireland early in the 18th century.French : from a personal name composed of the Germanic elements boll ‘friend’, ‘brother’ + hard ‘hardy’, ‘strong’.

    Bollard

  • Sollars
  • Surname or Lastname

    English (Gloucestershire)

    Sollars

    English (Gloucestershire) : from Middle English soler ‘solar’, ‘upper floor of a house’ (Old English solor), probably an occupational name for a servant whose duties were centered in the upper part of a house.

    Sollars

  • Khawli
  • Boy/Male

    Indian

    Khawli

    Deer name of a sahabi who p

    Khawli

  • Hollands
  • Surname or Lastname

    English

    Hollands

    English : variant of Holland 1.Dutch : variant of Holland 2.Dutch : habitational name from places called Holland in northern France, named with Middle Dutch onland(e) ‘marsh’.

    Hollands

  • Pollard
  • Boy/Male

    British, English, Teutonic

    Pollard

    Short Haired

    Pollard

  • Khawli |
  • Boy/Male

    Muslim

    Khawli |

    Deer name of a sahabi who p

    Khawli |

  • Morie
  • Surname or Lastname

    Scottish spelling of Irish Morey 1.English and French

    Morie

    Scottish spelling of Irish Morey 1.English and French : from the personal name Amaury (see Morey 2).

    Morie

  • Part 1 and 2'
  • Boy/Male

    Shakespearean

    Part 1 and 2'

    King Henry IV, Part 1' Earl of March. Scroop.

    Part 1 and 2'

  • Dollard
  • Surname or Lastname

    English

    Dollard

    English : nickname from Middle English dull + -ard ‘dull or stupid person’. Compare Doll 5.Irish : either an importation to Ireland of the English name or, possibly, a reduced and altered form of de la Hyde (see Dollarhide).

    Dollard

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Online names & meanings

  • Muddassir
  • Boy/Male

    Indian

    Muddassir

    Wrapped in, Enveloped

  • Ekas
  • Boy/Male

    Indian, Sikh

    Ekas

    One in the World; Different; One God

  • Franzl
  • Boy/Male

    German

    Franzl

    Frenchman

  • Zurisaday |
  • Girl/Female

    Muslim

    Zurisaday |

    Over the earth

  • Rekha
  • Girl/Female

    Hindi

    Rekha

    Fine.

  • Savary
  • Surname or Lastname

    English and French

    Savary

    English and French : from a Germanic personal name composed of the elements saba, of uncertain meaning + rīc ‘power’, which was introduced into England by the Normans in the form Savaric.A Savary from the Limousin region of France is documented in Neuville, Quebec, in 1683.

  • Ellen
  • Boy/Male

    Anglo Saxon

    Ellen

    Courage.

  • Chekriya
  • Girl/Female

    Hindu, Indian

    Chekriya

    Earth

  • TIVADAR
  • Male

    Hungarian

    TIVADAR

    Hungarian form of Greek Theodoros, TIVADAR means "gift of God."

  • Devarshi | தேவர்ஷி 
  • Boy/Male

    Tamil

    Devarshi | தேவர்ஷி 

    Teacher of the God, Sage of the devas

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Other words and meanings similar to

POLLARDS P-1-ALGORITHM

AI search in online dictionary sources & meanings containing POLLARDS P-1-ALGORITHM

POLLARDS P-1-ALGORITHM

  • Pollarding
  • p. pr. & vb. n.

    of Pollard

  • Cornered
  • p. a.

    1 Having corners or angles.

  • Pollarded
  • imp. & p. p.

    of Pollard

  • Pollard
  • v. t.

    To lop the tops of, as trees; to poll; as, to pollard willows.

  • Lollardy
  • n.

    The doctrines or principles of the Lollards.