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• Fast Fourier transform
  ...er transform: an efficient [[algorithm]] to compute the [[discrete Fourier transform]].}} ...any; see discrete Fourier transform for properties and applications of the transform.
  17 KB (2,684 words) - 18:50, 28 September 2023

Page text matches

• Landon Curt Noll
  ...n prime. After his discovery of M26, he suggested to use of [[Fast Fourier transform]]s to handle the large [[multiplication]]s need in [[Lucas-Lehmer test]]ing
  2 KB (333 words) - 12:40, 9 February 2022
• Lucas-Lehmer test
  The Lucas-Lehmer test, when used with the [[Fast Fourier transform]], has a complexity of O(log² N log log N) where N represents th
  20 KB (3,572 words) - 14:30, 17 February 2019
• Multiplication
  *[[Long multiplication]]: very fast for small factors, but slower than the other methods when the factors are l *[[Fourier transform multiplication]]: uses [[Fast Fourier transform|FFT]] to multiply extremely large numbers faster than the previous methods.
  2 KB (271 words) - 17:00, 29 August 2022
• Ernst Mayer
  He was also the author of "emayer" [[Fast Fourier transform|FFT]] package, written in Fortran 90, which was used to benchmark [[FFTW]]
  2 KB (251 words) - 18:53, 14 December 2023
• Prime95
  !Comparison of CPU core power!!Frequency!!Cores!!colspan="2" | [[Fast Fourier transform|FFT]]!![[Trial factoring]]!!TDP ...ter test various components of the computer by changing the [[Fast Fourier transform]] (FFT) size. Three pre-set configurations are available: Small FFTs and In
  11 KB (1,586 words) - 12:24, 7 August 2021
• Glucas
  ...form"] (1999). The multiplications algorithm also uses [[Discrete Weighted Transform]] described in the paper [https://pdfs.semanticscholar.org/bb81/6028b29fb96
  3 KB (426 words) - 14:21, 14 February 2019
• GPU
  ...ecision_floating-point_format|single-precision]], while the [[Fast Fourier transform|calculations performed]] require [[Wikipedia:Double-precision_floating-poin
  2 KB (250 words) - 08:44, 13 February 2019
• Fast Fourier transform
  ...er transform: an efficient [[algorithm]] to compute the [[discrete Fourier transform]].}} ...any; see discrete Fourier transform for properties and applications of the transform.
  17 KB (2,684 words) - 18:50, 28 September 2023
• GpuLucas
  ...lizes the [[Irrational base discrete weighted transform|IBDWT]]-method for fast multiplies modulo Mersenne numbers. ...times faster than [[CUDALucas]] due to using non-power-of-2 [[Fast Fourier transform|FFT]] lengths. [http://www.mersenneforum.org/showthread.php?t=14310&page=7#
  2 KB (239 words) - 11:12, 13 February 2019
• Long multiplication
  ...ot use this form of multiplication for large numbers, using [[Fast Fourier transform|FFT]]'s is much faster. A person doing long multiplication on paper will wr *[[Fast Fourier transform]]
  2 KB (165 words) - 17:01, 29 August 2022
• Richard Crandall
  ...se discrete weighted transform]] (IBDWT), a special form of [[Fast Fourier transform|FFT]]. It halves the required FFT lengths for [[Lucas-Lehmer test|Lucas-Leh ...randall/papers/confgt.pdf "Integer convolution via split-radix fast Galois transform"] (1999)
  3 KB (431 words) - 11:36, 14 January 2024
• Irrational base discrete weighted transform
  ...rational base discrete weighted transform: a variant of the [[Fast Fourier transform]] using an irrational base.}} ...ete weighted transform''' ('''IBDWT''') is a variant of the [[Fast Fourier transform]] using an [[Irrational number|irrational]] base. It was proposed by [[Rich
  1 KB (172 words) - 18:49, 28 September 2023
• Montgomery multiplication
  ...ethod|ECM]], [[P-1 factorization method|p-1]], etc.) this method is really fast. ...e factors are very large and the [[Karatsuba multiplication]] or [[Fourier transform multiplication]] is faster than [[long multiplication]], the division impli
  4 KB (582 words) - 17:01, 29 August 2022
• GIMPS clients
  ...among others), it turns out that a convolution version of a [[Fast Fourier transform]] is the only way to multiply really huge numbers in a time that any human ...task; a first time primality test for a single candidate exponent takes a fast machine three to four weeks, running 24/7. This is without a doubt one of m
  8 KB (1,218 words) - 15:37, 13 August 2020
• Mprime (Cray)
  ...onsible for the discovery of 7 [[Mersenne prime]]s. It used [[Fast Fourier transform]]s for the [[multiplication]] of very large numbers. This represented an ad
  639 bytes (92 words) - 12:02, 7 February 2019
• Why participate in GIMPS?
  .... In 1968 Strassen discovered how to multiply quickly using [[Fast Fourier transform]]. Strassen and Schönhage refined and published the method in 1971. [[GIM
  7 KB (1,252 words) - 09:47, 7 March 2019
• Torture test
  ...known to yield certain results. The test will use different [[Fast Fourier transform|FFT]]-sizes. If the calculated result differs from the known correct result
  2 KB (323 words) - 10:59, 18 June 2019
• Glossary
  *'''[[Fast Fourier transform]]''' - An algorithm that permits real-time signal spectrum analysis.
  1 KB (190 words) - 10:55, 7 March 2019
• Overclocking and Prime95
  ...t manipulate extremely large integers generally make use of [[Fast Fourier transform]]s (FFTs) to perform multiplications. The FFTs are [[floating-point]] but t ...sort of error. However, it is also clear that some people would rather be fast than right, and don't really care how much error slips in. This may be acce
  12 KB (1,995 words) - 09:55, 7 March 2019
• 79.3 million
  ...he fact that it is the largest to practically test using an [[Fast Fourier transform|FFT]] size of 4096K. The size limit of the FFT used came about because of l
  1 KB (164 words) - 18:40, 14 December 2023

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