Currently there may be errors shown on top of a page, because of a missing Wiki update (PHP version and extension DPL3).
Navigation
Topics Help • Register • News • History • How to • Sequences statistics • Template prototypes

Difference between revisions of "79.3 million"

From Prime-Wiki
Jump to: navigation, search
(add start date of limit, phrasing)
(Internationalizing with {{Num}})
 
(One intermediate revision by one other user not shown)
Line 2: Line 2:
 
For a number of years (starting from v19.0 of [[Prime95]] (Oct. 1999) up to Sept. 2008) [[GIMPS]] / [[PrimeNet]] limited the range of [[exponent]]s that were available for assignment/testing to a maximum of ~'''79.3 million'''. This seemingly odd number is derived from the 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 limitations of the [[computer]] systems that [[Prime95]] was designed to run on.
 
For a number of years (starting from v19.0 of [[Prime95]] (Oct. 1999) up to Sept. 2008) [[GIMPS]] / [[PrimeNet]] limited the range of [[exponent]]s that were available for assignment/testing to a maximum of ~'''79.3 million'''. This seemingly odd number is derived from the 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 limitations of the [[computer]] systems that [[Prime95]] was designed to run on.
  
Exponents larger than 79.3 million had been worked on (mainly [[trial factoring]], like the [[100 Million Digit Prefactor Project]]) prior to Sept. 2008 (outside of PrimeNet), using programs other than Prime95. The results of these test were often forward to [[George Woltman]] and [[Will Edgington]]. When PrimeNet v5 was rolled out, exponents up to 1,000,000,000 were suppported. All of the work that had been previously reported to Woltman, was include in the data on PrimeNet.
+
Exponents larger than 79.3 million had been worked on (mainly [[trial factoring]], like the [[100 Million Digit Prefactor Project]]) prior to Sept. 2008 (outside of PrimeNet), using programs other than Prime95. The results of these test were often forward to [[George Woltman]] and [[Will Edgington]]. When PrimeNet v5 was rolled out, exponents up to {{Num|1000000000}} were suppported. All of the work that had been previously reported to Woltman, was included in the data on PrimeNet.
 
{{Navbox GIMPS}}
 
{{Navbox GIMPS}}
 
[[Category:Great Internet Mersenne Prime Search]]
 
[[Category:Great Internet Mersenne Prime Search]]

Latest revision as of 18:40, 14 December 2023

Logo.svg This article is only a stub. You can help PrimeWiki by expanding it.

For a number of years (starting from v19.0 of Prime95 (Oct. 1999) up to Sept. 2008) GIMPS / PrimeNet limited the range of exponents that were available for assignment/testing to a maximum of ~79.3 million. This seemingly odd number is derived from the fact that it is the largest to practically test using an FFT size of 4096K. The size limit of the FFT used came about because of limitations of the computer systems that Prime95 was designed to run on.

Exponents larger than 79.3 million had been worked on (mainly trial factoring, like the 100 Million Digit Prefactor Project) prior to Sept. 2008 (outside of PrimeNet), using programs other than Prime95. The results of these test were often forward to George Woltman and Will Edgington. When PrimeNet v5 was rolled out, exponents up to 1,000,000,000 were suppported. All of the work that had been previously reported to Woltman, was included in the data on PrimeNet.