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• Lucas-Lehmer test
  ...s in the N-1 case. It demonstrates that there is an element of the twisted group having full (i.e. maximal possible) order. ...ltiplication/ exponentiation to compute a^( (N-1)/q) mod N, in the twisted group the recursion S_n = S_n-1² - 2 effects the s
  20 KB (3,572 words) - 14:30, 17 February 2019
• M47
  ...that it was a [[prime]] number. The computer was stationed at a lab in the Mathematics Department at [[University of California, Los Angeles]]. ...g potential errors before the test was complete.) George notified a select group of volunteers that have access to much faster computers. They started verif
  5 KB (694 words) - 13:17, 21 August 2019
• Fast Fourier transform
  ...ng set of a group|generator]] for the multiplicative [[group (mathematics)|group]] modulo prime <math>n</math>, expresses a DFT of prime size <math>n</math> ...mathbf{k}</math> can be viewed as an <math>n_1 \times n_2</math> [[matrix (mathematics)|matrix]], and this algorithm corresponds to first performing the FFT of al
  17 KB (2,684 words) - 18:50, 28 September 2023
• Elliptic curve method
  ...es for a particular point on the curve). Now, by doing some very beautiful mathematics explained below, we can calculate the position of other points on the same ...d <math>f</math>'''P''' = '''O''' where <math>f</math> is a divisor of the group order, but this does not change the factorization method (in fact it works
  19 KB (3,181 words) - 22:27, 6 July 2023
• University of California, Los Angeles
  ...n the Westwood area of Los Angeles. It has a long history in the fields of mathematics and computer science. UCLA was the '''first''' host on the '''Internet''' i ...shy of 13 million digits long. [[Edson Smith]] was the team leader for the group that was participating in [[GIMPS]] running [[Prime95]] on the PC's in the
  2 KB (347 words) - 14:54, 19 September 2021
• Raphael M. Robinson
  ...acher. He was awarded the BA (1932), MA (1933), and Ph.D. (1935), all in [[mathematics]], and all from the [[University of California, Berkeley]]. His Ph.D. thesi ...al. (1953), which established, among other things, the undecidability of [[group theory]], lattice theory, abstract projective geometry, and closure algebra
  4 KB (526 words) - 14:51, 19 September 2021
• PFGW
  ...nd release on the PrimeForm [http://groups.yahoo.com/group/primeform Yahoo group]. ...e. It is a sister program to Yves Gallot's [[proth.exe]] and uses the same mathematics libraries with it. It is still available for users who prefer a GUI, but it
  1 KB (193 words) - 10:03, 28 January 2019
• Introductory stuff
  In mathematics, a '''Mersenne prime''' is a [[prime]] number that is one less than a [[pow ...tes) are returned, many users like to grab them. By the ordinary nature of mathematics and the project, Mersenne candidates get larger and larger. Older exponents
  14 KB (2,370 words) - 15:15, 17 August 2019