To perform its testing, the project relies primarily on Édouard Lucas and Derrick Henry Lehmer's primality test, an algorithm that is both specialized to testing Mersenne primes and particularly efficient on binary computer architectures.

The Lucas – Lehmer primality test ( LLT ) is an efficient primality test that greatly aids this task.

The best method presently known for testing the primality of Mersenne numbers is the Lucas – Lehmer primality test.

This theorem forms the basis for the Lucas – Lehmer test, an important primality test.

This reaction is exploited in the Lucas test.

Certain number-theoretic methods exist for testing whether a number is prime, such as the Lucas test and Proth's test.

In mathematics, the Lucas – Lehmer test ( LLT ) is a primality test for Mersenne numbers.

The test was originally developed by Édouard Lucas in 1856, and subsequently improved by Lucas in 1878 and Derrick Henry Lehmer in the 1930s.

The Lucas – Lehmer test works as follows.

:" Lucas – Lehmer test " redirects here.

For the test for Mersenne numbers, see Lucas – Lehmer primality test.

For the Lucas – Lehmer – Riesel test, see Lucas – Lehmer – Riesel test.

In computational number theory, the Lucas test is a primality test for a natural number n ; it requires that the prime factors of n − 1 be already known.

Ford fitted a Lucas system on the Lotus 25s entered at Indianapolis the next year, ran a fleet test in 1964, and began offering optional EI on some models in 1965.

Lucas Rincon announced Hugo Chavez resignation on national TV.

Dürer's work on the book was halted for an unknown reason, and the decoration was continued by artists including Lucas Cranach the Elder and Hans Baldung.

The “ north-bank ” thesis of F. L. Lucas, based on his 1921 solo field-trip to Thessaly, is now, however, broadly accepted by historians.

It includes Friedman's permanent income hypothesis view on consumption, the " rational expectations revolution " spearheaded by Robert Lucas, and real business cycle theory.

George Lucas commented on the film after its five-hour-long preview, telling Coppola: " You have two films.

George Lucas said that he based the Han Solo character in Star Wars on Coppola.

Lucas currently serves as executive producer for Star Wars: The Clone Wars, an animated television series on Cartoon Network, which was preceded by a feature film of the same name.

Lucas is working on his first musical, an untitled CGI project being produced at Skywalker Ranch.

In January 2012, Lucas announced his retirement from producing large-scale blockbuster films and instead re-focusing his career on smaller, independently budgeted features.

On June 24, 2008, Lucas testified before the United States House of Representatives subcommittee on Telecommunications and the Internet as the head of his Foundation to advocate for a free wireless broadband educational network.

In 2005, Lucas gave US $ 1 million to help build the Martin Luther King, Jr. National Memorial on the National Mall in Washington D. C. to commemorate American civil rights leader Martin Luther King, Jr.

The American Film Institute awarded Lucas its Life Achievement Award on June 9, 2005.

In 1969, Lucas married film editor Marcia Lou Griffin, who went on to win an Academy Award for her editing work on the original Star Wars film.

Bogart and Bacall then married in a small ceremony at the country home of Bogart's close friend, Pulitzer Prize-winning author Louis Bromfield at Malabar Farm near Lucas, Ohio on May 21, 1945.

Although there are earlier descriptions of an island in the Sunda Strait with a " pointed mountain ," the earliest mention of Krakatoa by name in the western world was on a 1611 map by Lucas Janszoon Waghenaer, who labelled the island " Pulo Carcata " ( pulo is the Sundanese word for " island ").

He went on to form a new band called " Bastard " with guitarist Larry Wallis ( former member of the Pink Fairies, Steve Took's Shagrat and UFO ) and drummer Lucas Fox.

Dr. Lucas resigned on April 23, 2009.

* Mark Lucas and W. Kieth Beason's Night's Dawn Trilogy page-extensive information on every aspect of the Confederation

Scott's next film was American Gangster, based on the story of real-life drug kingpin Frank Lucas.

He had Steven Zaillian rewrite his script to focus on the dynamic between Frank Lucas and Richie Roberts.

Washington signed back on to the project as Lucas, with Russell Crowe co-starring.

Pattillo Higgins left the company and teamed with Captain Anthony F. Lucas, the leading expert in the U. S. on salt dome formations.

“ A visit to the ground has only confirmed me ,” Lucas wrote in 1921 ; “ and it was interesting to find that Mr. Apostolides, son of the large local landowner, the hospitality of whose farm at Tekés I enjoyed, was convinced too that the site was by Driskole Krini, for the very sound reason that neither the hills nor the river further east suit Caesar ’ s description .” John D. Morgan in his definitive “ Palae-pharsalus – the Battle and the Town ”, arguing for a site closer still to Krini, where he places Palaepharsalos, writes: “ My reconstruction is similar to Lucas ’ s, and in fact I borrow one of his alternatives for the line of the Pompeian retreat.

Lucas biographer Marcus Hearn observed, " Douglas Slocombe's skillful lighting helped disguise the fact that about 80 percent of the film was shot with sound stages.

Lucas based the character of General Kael ( Pat Roach ) on the famous film critic Pauline Kael, a fact that was not lost on Kael in her printed interview of the film.

Another writer compares the Clone Wars with World War II in general, basing his argument on the fact that Lucas was born during the baby boomer generation, and the dark times featured in the original trilogy rival the dark, uncertain Cold War.

Newton carried on the discussion with the objectors with great courtesy and patience, but the amount of pain which these perpetual discussions gave to his sensitive mind may be estimated from the fact of his writing on 18 November 1676 to Oldenburg: " I promised to send you an answer to Mr Lucas this next Tuesday, but I find I shall scarce finish what I have designed, so as to get a copy taken of it by that time, and therefore I beg your patience a week longer.

This story is significant in the fact that Lucas reportedly said he would have made a story like this into a movie if he had had the time and effort to do so back in the early 1980s.

In an interview, Lucas has specifically cited the fact that he became acquainted with the term jidaigeki while in Japan, and it is widely assumed that he took inspiration for the term Jedi from this.

But as it turned out, the arrest of Donald Lucas was a ploy by the real Jack of All Trades ( whose real name was revealed in one episode in season two to be Albert Newquay ) who had in fact escaped yet again and was revealed to be in hiding in a small California town playing a sheriff, named Ed Boast.

An anonymous New Statesman review ( 29 Dec. 1928 ) of Eliot's criticism, however, to which F. R. Leavis replied apparently believing it was by Lucas, and which Leavis's biographer says " was certainly by Lucas ", was in fact by R. Ellis Roberts.

John D. Morgan in his definitive ' Palae-pharsalus – the Battle and the Town ' writes: " My reconstruction is similar to Lucas ’ s, and in fact I borrow one of his alternatives for the line of the Pompeian retreat.

Lucas makes much of this difference as well as the fact that he is three generations closer to McCaslin than Roth, perhaps believing himself to somehow be of nobler blood and / or feeling that his descendents deserves more of McCaslin's original legacy.

The hundreds of confessions stemmed from the fact that Lucas was confessing to almost every unsolved murder brought before him, often with the collusion of police officers who wanted to clear their files of unsolved and " cold cases.

Robert Lucas stated the « Lucas Paradox » which is the observation that capital is not flowing from developed countries to developing countries despite the fact that developing countries have lower levels of capital per worker.

The reference to Ridley Scott and George Lucas is documented in the Foreword passage in " The Long Tomorrow "; in fact, so strong is the stylistic influence on Blade Runner that it is hard not to see anything else when reading this graphic novel.

" The accuracy of Lucas ' statement, despite the lateness of it, has been bolstered by the fact that Lucas was from Tui, the Galician city whereat Wittiza probably ruled as sub-king under his father at one point.