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The most basic method of checking the primality of a given integer n is called trial division. This routine consists of dividing n by each integer m that is greater than 1 and less than or equal to the square root of n. If the result of any of these divisions is an integer, then n is not a prime, otherwise it is a prime. Indeed, if is composite (with a and b ≠ 1) then one of the factors a or b is necessarily at most . For example, for , the trial divisions are by m = 2, 3, 4, 5, and 6. None of these numbers divides 37, so 37 is prime. This routine can be implemented more efficiently if a complete list of primes up to is known—then trial divisions need to be checked only for those m that are prime. For example, to check the primality of 37, only three divisions are necessary (m = 2, 3, and 5), given that 4 and 6 are composite.
Trial division involves dividing n by every integer m greater than what?
[ "1", "greater than 1", "1", "1", "is greater than 1 and less than or equal to the square root of n" ]
[ 170, 157, 170, 170, 154 ]
[ "57297bc9af94a219006aa4c9", "57297bc9af94a219006aa4c9", "57297bc9af94a219006aa4c9", "57297bc9af94a219006aa4c9", "57297bc9af94a219006aa4c9" ]
[ "Prime_number", "Prime_number", "Prime_number", "Prime_number", "Prime_number" ]
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He insisted that, since forgiveness was God's alone to grant, those who claimed that indulgences absolved buyers from all punishments and granted them salvation were in error. Christians, he said, must not slacken in following Christ on account of such false assurances.
Who did Martin Luther say was the lone granter of forgiveness?
[ "God", "God", "God" ]
[ 40, 40, 40 ]
[ "56f802c6a6d7ea1400e17377", "56f802c6a6d7ea1400e17377", "56f802c6a6d7ea1400e17377" ]
[ "Martin_Luther", "Martin_Luther", "Martin_Luther" ]
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On May 21, 2013, NFL owners at their spring meetings in Boston voted and awarded the game to Levi's Stadium. The $1.2 billion stadium opened in 2014. It is the first Super Bowl held in the San Francisco Bay Area since Super Bowl XIX in 1985, and the first in California since Super Bowl XXXVII took place in San Diego in 2003.
In what city did the last Super Bowl in California occur?
[ "San Diego", "San Diego", "San Diego" ]
[ 308, 308, 308 ]
[ "56beb2153aeaaa14008c9229", "56beb2153aeaaa14008c9229", "56beb2153aeaaa14008c9229" ]
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In 1870, Tesla moved to Karlovac, to attend school at the Higher Real Gymnasium, where he was profoundly influenced by a math teacher Martin Sekulić.:32 The classes were held in German, as it was a school within the Austro-Hungarian Military Frontier. Tesla was able to perform integral calculus in his head, which prompted his teachers to believe that he was cheating. He finished a four-year term in three years, graduating in 1873.:33
In what year did Tesla graduate from the Higher Real Gymnasium?
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The Literary and Philosophical Society of Newcastle upon Tyne (popularly known as the 'Lit & Phil') is the largest independent library outside London, housing more than 150,000 books. Its music library contains 8000 CDs and 10,000 LPs. The current Lit and Phil premises were built in 1825 and the building was designed by John and Benjamin Green. Operating since 1793 and founded as a ‘conversation club,’ its lecture theatre was the first public building to be lit by electric light, during a lecture by Joseph Swan on 20 October 1880.
How many CDs does Newcastle's library have?
[ "8000", "8000", "8000" ]
[ 211, 211, 211 ]
[ "572680865951b619008f74e8", "572680865951b619008f74e8", "572680865951b619008f74e8" ]
[ "Newcastle_upon_Tyne", "Newcastle_upon_Tyne", "Newcastle_upon_Tyne" ]
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Kublai Khan promoted commercial, scientific, and cultural growth. He supported the merchants of the Silk Road trade network by protecting the Mongol postal system, constructing infrastructure, providing loans that financed trade caravans, and encouraging the circulation of paper banknotes (鈔, Chao). Pax Mongolica, Mongol peace, enabled the spread of technologies, commodities, and culture between China and the West. Kublai expanded the Grand Canal from southern China to Daidu in the north. Mongol rule was cosmopolitan under Kublai Khan. He welcomed foreign visitors to his court, such as the Venetian merchant Marco Polo, who wrote the most influential European account of Yuan China. Marco Polo's travels would later inspire many others like Christopher Columbus to chart a passage to the Far East in search of its legendary wealth.
Who described Kublai's China to Europe?
[ "Marco Polo", "Marco Polo", "Marco Polo" ]
[ 615, 615, 615 ]
[ "57286bb84b864d19001649cc", "57286bb84b864d19001649cc", "57286bb84b864d19001649cc" ]
[ "Yuan_dynasty", "Yuan_dynasty", "Yuan_dynasty" ]
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The earliest known movie featuring some exterior scenes filmed in the city is On the Night of the Fire (1939), though by and large the action is studio-bound. Later came The Clouded Yellow (1951) and Payroll (1961), both of which feature more extensive scenes filmed in the city. The 1971 film Get Carter was shot on location in and around Newcastle and offers an opportunity to see what Newcastle looked like in the 1960s and early 1970s. The city was also backdrop to another gangster film, the 1988 film noir thriller Stormy Monday, directed by Mike Figgis and starring Tommy Lee Jones, Melanie Griffith, Sting and Sean Bean.
Who directed Stormy Monday?
[ "Mike Figgis", "Mike Figgis", "Mike Figgis" ]
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[ "57268731f1498d1400e8e2e5", "57268731f1498d1400e8e2e5", "57268731f1498d1400e8e2e5" ]
[ "Newcastle_upon_Tyne", "Newcastle_upon_Tyne", "Newcastle_upon_Tyne" ]
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The "West Side" of Fresno, also often called "Southwest Fresno", is one of the oldest neighborhoods in the city. The neighborhood lies southwest of the 99 freeway (which divides it from Downtown Fresno), west of the 41 freeway and south of Nielsen Ave (or the newly constructed 180 Freeway), and extends to the city limits to the west and south. The neighborhood is traditionally considered to be the center of Fresno's African-American community. It is culturally diverse and also includes significant Mexican-American and Asian-American (principally Hmong or Laotian) populations.
What are the two principal Asian-American groups living in the west side neighborhood of Fresno?
[ "Hmong or Laotian", "Hmong or Laotian", "Hmong or Laotian" ]
[ 552, 552, 552 ]
[ "5725edfe38643c19005acea2", "5725edfe38643c19005acea2", "5725edfe38643c19005acea2" ]
[ "Fresno,_California", "Fresno,_California", "Fresno,_California" ]
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Almost all ctenophores are predators, taking prey ranging from microscopic larvae and rotifers to the adults of small crustaceans; the exceptions are juveniles of two species, which live as parasites on the salps on which adults of their species feed. In favorable circumstances, ctenophores can eat ten times their own weight in a day. Only 100–150 species have been validated, and possibly another 25 have not been fully described and named. The textbook examples are cydippids with egg-shaped bodies and a pair of retractable tentacles fringed with tentilla ("little tentacles") that are covered with colloblasts, sticky cells that capture prey. The phylum has a wide range of body forms, including the flattened, deep-sea platyctenids, in which the adults of most species lack combs, and the coastal beroids, which lack tentacles and prey on other ctenophores by using huge mouths armed with groups of large, stiffened cilia that act as teeth. These variations enable different species to build huge populations in the same area, because they specialize in different types of prey, which they capture by as wide a range of methods as spiders use.
How many different species of ctenohore are there?
[ "100–150 species have been validated", "100–150 species", "100–150" ]
[ 342, 342, 342 ]
[ "5726400589a1e219009ac5f2", "5726400589a1e219009ac5f2", "5726400589a1e219009ac5f2" ]
[ "Ctenophora", "Ctenophora", "Ctenophora" ]
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Despite waiving longtime running back DeAngelo Williams and losing top wide receiver Kelvin Benjamin to a torn ACL in the preseason, the Carolina Panthers had their best regular season in franchise history, becoming the seventh team to win at least 15 regular season games since the league expanded to a 16-game schedule in 1978. Carolina started the season 14–0, not only setting franchise records for the best start and the longest single-season winning streak, but also posting the best start to a season by an NFC team in NFL history, breaking the 13–0 record previously shared with the 2009 New Orleans Saints and the 2011 Green Bay Packers. With their NFC-best 15–1 regular season record, the Panthers clinched home-field advantage throughout the NFC playoffs for the first time in franchise history. Ten players were selected to the Pro Bowl (the most in franchise history) along with eight All-Pro selections.
When did the league go from 15 to 16 games in the regular season?
[ "1978.", "1978", "1978" ]
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What we now call gravity was not identified as a universal force until the work of Isaac Newton. Before Newton, the tendency for objects to fall towards the Earth was not understood to be related to the motions of celestial objects. Galileo was instrumental in describing the characteristics of falling objects by determining that the acceleration of every object in free-fall was constant and independent of the mass of the object. Today, this acceleration due to gravity towards the surface of the Earth is usually designated as and has a magnitude of about 9.81 meters per second squared (this measurement is taken from sea level and may vary depending on location), and points toward the center of the Earth. This observation means that the force of gravity on an object at the Earth's surface is directly proportional to the object's mass. Thus an object that has a mass of will experience a force:
Where was the measurment for the standard gravity on Earth taken?
[ "sea level", "sea level", "sea level", "from sea level" ]
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[ "573784fa1c45671900574486", "573784fa1c45671900574486", "573784fa1c45671900574486", "573784fa1c45671900574486" ]
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On 8 February 2007, BSkyB announced its intention to replace its three free-to-air digital terrestrial channels with four subscription channels. It was proposed that these channels would offer a range of content from the BSkyB portfolio including sport (including English Premier League Football), films, entertainment and news. The announcement came a day after Setanta Sports confirmed that it would launch in March as a subscription service on the digital terrestrial platform, and on the same day that NTL's services re-branded as Virgin Media. However, industry sources believe BSkyB will be forced to shelve plans to withdraw its channels from Freeview and replace them with subscription channels, due to possible lost advertising revenue.
What platform was Sentanta Sports planning on launching on?
[ "digital terrestrial", "digital terrestrial", "digital terrestrial" ]
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[ "Sky_(United_Kingdom)", "Sky_(United_Kingdom)", "Sky_(United_Kingdom)" ]
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By the late 19th century scientists realized that air could be liquefied, and its components isolated, by compressing and cooling it. Using a cascade method, Swiss chemist and physicist Raoul Pierre Pictet evaporated liquid sulfur dioxide in order to liquefy carbon dioxide, which in turn was evaporated to cool oxygen gas enough to liquefy it. He sent a telegram on December 22, 1877 to the French Academy of Sciences in Paris announcing his discovery of liquid oxygen. Just two days later, French physicist Louis Paul Cailletet announced his own method of liquefying molecular oxygen. Only a few drops of the liquid were produced in either case so no meaningful analysis could be conducted. Oxygen was liquified in stable state for the first time on March 29, 1883 by Polish scientists from Jagiellonian University, Zygmunt Wróblewski and Karol Olszewski.
By what means were scientists able to liquefy air?
[ "compressing and cooling", "compressing and cooling", "compressing and cooling it", "compressing and cooling", "cascade method" ]
[ 106, 106, 106, 106, 142 ]
[ "571caac55efbb31900334dc7", "571caac55efbb31900334dc7", "571caac55efbb31900334dc7", "571caac55efbb31900334dc7", "571caac55efbb31900334dc7" ]
[ "Oxygen", "Oxygen", "Oxygen", "Oxygen", "Oxygen" ]
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The United Methodist Church teaches that pornography is "about violence, degradation, exploitation, and coercion" and "deplore[s] all forms of commercialization, abuse, and exploitation of sex." The Sexual Ethics Task Force of The United Methodist Church states that "Research shows it [pornography] is not an 'innocent activity.' It is harmful and is generally addictive. Persons who are addicted to pornography are physiologically altered, as is their perspective, relationships with parishioners and family, and their perceptions of girls and women."
The UMC teaches that pornography is about what?
[ "violence, degradation, exploitation, and coercion", "about violence, degradation, exploitation, and coercion\"", "violence, degradation, exploitation, and coercion" ]
[ 63, 57, 63 ]
[ "5730bdfe396df9190009630f", "5730bdfe396df9190009630f", "5730bdfe396df9190009630f" ]
[ "United_Methodist_Church", "United_Methodist_Church", "United_Methodist_Church" ]
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The Upper Rhine region was changed significantly by a Rhine straightening program in the 19th Century. The rate of flow was increased and the ground water level fell significantly. Dead branches dried up and the amount of forests on the flood plains decreased sharply. On the French side, the Grand Canal d'Alsace was dug, which carries a significant part of the river water, and all of the traffic. In some places, there are large compensation pools, for example the huge Bassin de compensation de Plobsheim in Alsace.
Which canal was dug in France to carry Rhine's water?
[ "Grand Canal d'Alsace", "Grand Canal d'Alsace", "Grand Canal d'Alsace" ]
[ 293, 293, 293 ]
[ "572f64ccb2c2fd14005680ba", "572f64ccb2c2fd14005680ba", "572f64ccb2c2fd14005680ba" ]
[ "Rhine", "Rhine", "Rhine" ]
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Kuchlug, the deposed Khan of the Naiman confederation that Temüjin defeated and folded into his Mongol Empire, fled west and usurped the khanate of Qara Khitai (also known as the Western Liao, as it was originally established as remnants of the Liao dynasty). Genghis Khan decided to conquer the Qara Khitai and defeat Kuchlug, possibly to take him out of power. By this time the Mongol army was exhausted from ten years of continuous campaigning in China against the Western Xia and Jin dynasty. Therefore, Genghis sent only two tumen (20,000 soldiers) against Kuchlug, under his younger general, Jebe, known as "The Arrow".
What other moniker was Genghis Khan's general Jebe known by?
[ "The Arrow", "The Arrow", "The Arrow" ]
[ 614, 614, 614 ]
[ "5726bd655951b619008f7ca3", "5726bd655951b619008f7ca3", "5726bd655951b619008f7ca3" ]
[ "Genghis_Khan", "Genghis_Khan", "Genghis_Khan" ]
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Fourth, national courts have a duty to interpret domestic law "as far as possible in the light of the wording and purpose of the directive". Textbooks (though not the Court itself) often called this "indirect effect". In Marleasing SA v La Comercial SA the Court of Justice held that a Spanish Court had to interpret its general Civil Code provisions, on contracts lacking cause or defrauding creditors, to conform with the First Company Law Directive article 11, that required incorporations would only be nullified for a fixed list of reasons. The Court of Justice quickly acknowledged that the duty of interpretation cannot contradict plain words in a national statute. But, fifth, if a member state has failed to implement a Directive, a citizen may not be able to bring claims against other non-state parties, but can sue the member state itself for failure to implement the law. So, in Francovich v Italy, the Italian government had failed to set up an insurance fund for employees to claim unpaid wages if their employers had gone insolvent, as the Insolvency Protection Directive required. Francovich, the former employee of a bankrupt Venetian firm, was therefore allowed to claim 6 million Lira from the Italian government in damages for his loss. The Court of Justice held that if a Directive would confer identifiable rights on individuals, and there is a causal link between a member state's violation of EU and a claimant's loss, damages must be paid. The fact that the incompatible law is an Act of Parliament is no defence.
What does the First Company Law Directive article 11 require?
[ "incorporations would only be nullified for a fixed list of reasons", "incorporations would only be nullified for a fixed list of reasons", "incorporations would only be nullified for a fixed list of reasons" ]
[ 478, 478, 478 ]
[ "57269f3ef1498d1400e8e535", "57269f3ef1498d1400e8e535", "57269f3ef1498d1400e8e535" ]
[ "European_Union_law", "European_Union_law", "European_Union_law" ]
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Dataset Card for AutoTrain Evaluator

This repository contains model predictions generated by AutoTrain for the following task and dataset:

  • Task: Question Answering
  • Model: mrp/bert-finetuned-squad
  • Dataset: squad
  • Config: plain_text
  • Split: validation

To run new evaluation jobs, visit Hugging Face's automatic model evaluator.

Contributions

Thanks to @saminaminaeheh for evaluating this model.

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