hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Euler pseudoprime
In mathematics, an odd composite integer n is called an Euler pseudoprime to base a, if a and n are coprime, and

(where mod refers to the modulo operation).

The motivation for this definition is the fact that all prime numbers p satisfy the above equation which can be deduced from Fermat's little theorem. Fermat's theorem  asserts that if p is prime, and coprime to a, then ap−1 ≡ 1 (mod p). Suppose that p>2 is prime, then p can be expressed as 2q + 1 where q is an integer. Thus, a(2q+1) − 1 ≡ 1 (mod p), which means that a2q − 1 ≡ 0 (mod p). This can be factored as (aq − 1)(aq + 1) ≡ 0 (mod p), which is equivalent to a(p−1)/2 ≡ ±1 (mod p).

The equation can be tested rather quickly, which can be used for probabilistic primality testing. These tests are twice as strong as tests based on Fermat's little theorem.

Fermat's little theorem
In number theory, Fermat's little theorem states that if p is a prime number, then for any integer a, the number ap − a is an integer multiple of p. In the notation of modular arithmetic, this is expressed as

For example, if a = 2 and p = 7, then 27 = 128, and 128 − 2 = 126 = 7 × 18 is an integer multiple of 7.

If a is not divisible by p; that is, if a is coprime to p, then Fermat's little theorem is equivalent to the statement that ap − 1 − 1 is an integer multiple of p, or in symbols:

For example, if a = 2 and p = 7, then 26 = 64, and 64 − 1 = 63 = 7 × 9 is a multiple of 7.

Fermat's little theorem is the basis for the Fermat primality test and is one of the fundamental results of elementary number theory. The theorem is named after Pierre de Fermat, who stated it in 1640. It is called the "little theorem" to distinguish it from Fermat's Last Theorem.
University of Santo Tomas College of Science
The University of Santo Tomas College of Science is the pure sciences school of the University of Santo Tomas, the oldest and the largest Catholic university in Manila, Philippines.

It offers nine Bachelor of Science degree programs, three of which are recognized by the Commission on Higher Education as a Center of Excellence in Chemistry, Biology, and Psychology. It also offers a Bachelor of Science degree in Microbiology, the only undergraduate microbiology program in the Philippines. It is the first in the university to have been accredited Level IV by the Philippine Association of Colleges & Universities Committee on Accreditation (PACUCOA). The college is located at the third floor of the UST Main Building.

Basic research
Basic research, also called pure research, fundamental research, basic science, or pure science, is a type of scientific research with the aim of improving scientific theories for better understanding and prediction of natural or other phenomena.  In contrast, applied research uses scientific theories to develop technology or techniques, which can be used to intervene and alter natural or other phenomena. Though often driven simply by curiosity, basic research often fuels the technological innovations of applied science. The two aims are often practiced simultaneously in coordinated research and development.

In addition to innovations, basic research serves to provide insights and public support of nature, possibly improving conservation efforts. Technological innovations may influence engineering concepts, such as the beak of a kingfisher influencing the design of a high-speed bullet train.
Jeypore Airport
Jeypore Airport (IATA: PYB, ICAO: VEJP), also known as Jayapur Airport, is a domestic airport serving the cities of Jeypore and Koraput in Odisha, India. It is located 3 km (1.9 mi) north-west of the city of Jeypore in Koraput district. The airstrip was constructed in 1962 along with the establishment of a Hindustan Aeronautics Limited (HAL) factory nearby at Sunabeda. In the 1980s, Vayudoot operated a daily Bhubaneswar-bound flight via Visakhapatnam. Now, the new low-cost regional airline, IndiaOne Air, operates from the airport to Bhubaneswar and Vishakapatnam.

Sunabeda
Sunabeda is an industrial town and a municipality in the state of Odisha, India, located in the valleys of the Koraput region. The Engine division and Sukhoi division of the aircraft manufacturing company Hindustan Aeronautics Limited (HAL), a public sector undertaking (PSU) of Ministry of Defence, which manufactures the Saturn AL-31 engines for the Sukhoi Su-30MKI Flanker fighter jet fleet of the Indian Air Force, is in Sunabeda.

Other major establishments of this town are Naval Armament Depot (NAD), State government offices, Sports Authority of India hostel, Central University of Orissa  (CUO) and Battalion headquarter of Commando Battalion for Resolute Action (CoBRA).
Reality-based community
Reality-based community is a derisive term for people who base judgments on facts. It was first attributed to a senior official working for U.S. president George W. Bush by the reporter Ron Suskind in 2004. Many American liberals adopted the label for themselves, using it to portray themselves as adhering to facts in contrast to conservatives presumed to be disregarding professional and scientific expertise.

Fact
A fact is a true datum about one or more aspects of a circumstance. Standard reference works are often used to check facts. Scientific facts are verified by repeatable careful observation or measurement by experiments or other means. Generally speaking, facts are independent of belief, knowledge and opinion. 
Facts are different from inferences, theories, values, and objects.

For example, "This sentence contains words." accurately describes a linguistic fact, and "the Sun is a star" describes an astronomical fact. Further, "Abraham Lincoln was the 16th president of the United States" and "Abraham Lincoln was assassinated" are both historical facts.
Davao–Cotabato Road
The Davao–Cotabato Road is a 205.7-kilometer (127.8 mi), two-to-six lane major national primary road, connecting the provinces of Davao del Sur, Maguindanao del Sur, Cotabato, and Maguindanao del Norte. It runs from Davao City to Sultan Kudarat, Maguindanao del Norte.

This road is designated as part of National Route 1 (N1) and National Route 75 (N75) of the Philippine highway network and partially Asian Highway 26 (AH26) of the Asian highway network.

Sultan Kudarat, Maguindanao del Norte
Sultan Kudarat, officially the Municipality of Sultan Kudarat (Maguindanaon: Inged nu Sultan Kudarat; Iranun: Inged a Sultan Kudarat; Tagalog: Bayan ng Sultan Kudarat), is a municipality of the province of Maguindanao del Norte, Philippines. At the 2020 census it had a population of 105,121.

Formerly known as Nuling, it became the de jure capital of the former Maguindanao province in 1977. It served as the legislative capital of Maguindanao in 2011 as it plays host to the Maguindanao Provincial Board, previously housed in the former capitol at Shariff Aguak. This restored its previous status as provincial capital, which was shared with Buluan which served as the executive capital. In 2022, Republic Act 11550 officially designated Datu Odin Sinsuat as the official capital of Maguindanao del Norte and Buluan as official capital of Maguindanao del Sur. Once a provincial capitol is erected in Datu Odin Sinsuat, the legislature will move to that municipality.
Roland Bondonny
Roland Bondonny (12 May 1932 – 2 February 2005) was a wealthy vintner who lived in France, in Égletons in Corrèze and also in Fourmies in Nord. He poisoned 144 pets between 1997 and 2001. Bondonny had fed them meatballs contaminated with insecticide. He hired Alain Bodchon to kill Marius Lac, a witness for the prosecution in the case against Bondonny.  Marius Lac's body was found dead in his garage, his body hidden under a wheelbarrow. on August 25, 2004. Shortly before he was to appear in court in February 2005, he hanged himself in his cell.

Insecticide
Insecticides are pesticides used to kill insects. They include ovicides and larvicides used against insect eggs and larvae, respectively. The major use of insecticides is in agriculture, but they are also used in home and garden settings, industrial buildings, for vector control, and control of insect parasites of animals and humans.

Acaricides, which kill mites and ticks, are not strictly insecticides, but are usually classified together with insecticides. Some insecticides (including common bug sprays) are effective against other non-insect arthropods as well, such as scorpions, spiders, etc. Insecticides are distinct from insect repellents, which repel but do not kill.
Reach for the Dead
"Reach for the Dead" is a song by the Scottish electronic music duo Boards of Canada. It is the second track and lead single from the duo's fourth studio album, Tomorrow's Harvest (2013). "Reach for the Dead" was premiered on Zane Lowe's programme on BBC Radio 1 on 23 May 2013 and released later the same day on Warp Records' official SoundCloud.

The single was preceded by "------ / ------ / ------ / XXXXXX / ------ / ------", an exclusive 12" single released on Record Store Day 2013, which contained cryptic clues about Tomorrow's Harvest's release. A music video directed by Neil Krug, a Los Angeles–based photographer, was later premiered in Tokyo, Japan, and a reversed version of the video was released online. Critical reception to "Reach for the Dead" was generally positive.

Boards of Canada
Boards of Canada are a Scottish electronic music duo consisting of the brothers Mike Sandison and Marcus Eoin. Signing first to Skam followed by Warp Records in the 1990s, they received recognition following the release of their debut album, Music Has the Right to Children, on Warp in 1998. They followed with the acclaimed albums Geogaddi (2002), The Campfire Headphase (2005) and Tomorrow's Harvest (2013).

The duo's work, largely influenced by media and electronic music from the 1970s, incorporates vintage synthesiser tones, samples, analog equipment, and hip hop-inspired beats. It has been described by critics as exploring themes related to nostalgia, as well as childhood memory, science, environmental concerns and esoteric subjects. In 2012, Fact described them as "one of the best-known and best-loved electronic acts of the last two decades".
Stephen Mallozzi
Stephen John Mallozzi (born January 15, 2001) is an American professional stock car racing driver. He last competed part-time in the NASCAR Craftsman Truck Series, driving the Nos. 2/22 Ford F-150 for Reaume Brothers Racing. He also competes in late model racing and has previously competed part-time in the NASCAR Xfinity Series.

Mallozzi started competing in childhood by racing go-karts at the age of nine. After winning various karting championships, he abruptly stopped racing when his father was diagnosed with terminal cancer. After spending most of his college years working in various journalism and law fields, he eventually returned to racing, citing motivation from his father. Initially joining RBR in 2021 as a development driver, he later made a one-off Truck Series start for the team the following year. He later raced in more Truck Series races in 2023 for both RBR and AM Racing.

Salesianum School
Salesianum School is a Catholic independent school for boys located in Wilmington, Delaware. It is run independently within the Diocese of Wilmington and is operated by the Oblates of St. Francis de Sales.

The current enrollment is about 930 students, declining from a peak of about 1,100 in recent years, from Delaware, Maryland, New Jersey, and Pennsylvania. Salesianum has established a close connection with Lycée Saint Michel, another Oblate high school, located in Annecy, France. Salesianum was named one of the Top 50 Catholic High Schools in America by the Catholic Honor Roll in 2004, 2007, 2008, 2009, and 2010.
Lindsay Allen
Lindsay Wilson Dozier Allen (born March 20, 1995) is an American professional basketball player for the Connecticut Sun of the Women's National Basketball Association (WNBA) and for Çukurova Basketbol of the Turkish Super League. She played college basketball for the Notre Dame Fighting Irish. She was drafted in the second round (14th overall) of the 2017 WNBA draft by the New York Liberty.

Women's Basketball Super League
The Women's Basketball Super League (Turkish: Kadınlar Basketbol Süper Ligi, KBSL), also known as the Halkbank Women's Basketball Super League for sponsorship reasons, is the top women's professional basketball division of the Turkish women's basketball league system. The league was established in 1980 and is organized by the Turkish Basketball Federation, it replaced the former Turkish Women’s Basketball League which ran between 1956 and 1980. There is also a Turkish Women's Basketball League (TKBL), the second level in the Turkish women's basketball league system. The present TKBL should not be confused with the former TKBL, which ran between 1956 and 1980; after the KBSL was founded, the TKBL became a second-tier league.

Fenerbahçe are the most successful team in the competition's history, having won 19 titles to date.
Stewart Island (Andaman Islands)
Stewart Island is an island of the Andaman Islands.  It belongs to the North and Middle Andaman administrative district, part of the Indian union territory of Andaman and Nicobar Islands.
The island lies 150 km (93 mi) north of Port Blair. Its population only consists of two people.

North and Middle Andaman district
North and Middle Andaman district is one of the 3 districts of the Indian Union Territory of Andaman and Nicobar Islands located in the Bay of Bengal. Mayabunder town is the district headquarters. The area covered by this district is 3251.85 km2.
Haplogroup C-M48
Haplogroup C-M48 also known as C2a1a2 is a Y-chromosome DNA haplogroup.

It is found frequently amongst members of Central Asian and Siberian peoples, such as the Evenks, Evens, Ulchi, Kazakhs, Koryaks, Mongols (especially Oirats, such as Kalmyks, Zakhchin, Uriankhai, and the population of northwest Mongolia in general), and Yukaghirs.

Haplogroup C-M48 also has been found occasionally in some ethnic groups outside its typical range in Siberia and Central Asia, such as Japanese (2/53 C-M86 Kyushu, 1/70 C-M86 Tokushima, 0/61 C-M86 Shizuoka, 0/45 C-M217 Okinawa, 0/26 C-M217 Aomori, 0/4 C-M86 Ainu), Tibetans (4/479 C-M48 Xizang, 0/52 C-M48 Qinghai), Bhutanese (1/21 C-M86/M77), Ossetians (1/21 C-M48 South Ossetians), Adyghe (1/154 C-M48), and Russians (1/406 C-M77), some of whom exhibit divergent Y-STR haplotypes.

Dörbet Oirat
The Dörbet (UK: /ˈdɜːbɛt/, US: /ˈdɔːrbɛt/), known in English as The Fours, is the second largest subgroup of Mongol people in modern Mongolia and was formerly one of the major tribes of the Four Oirat confederation in the 15th-18th centuries. In early times, the Dörbets and the Ööld were overruled by collateral branches of the Choros lineage. The Dörbets are distributed among the western provinces of Mongolia, Kalmykia and in a small portion in Heilongjiang, China. In modern-day Mongolia, the Dörbets are centered in Uvs Province.
Rasmus Mägi
Rasmus Mägi (born 4 May 1992) is an Estonian hurdler. At the 2012 Summer Olympics, he competed in the Men's 400 metres hurdles without qualifying for the semifinals. He won the silver medal at the 2014 European Championships. Mägi came in sixth at the 2016 Olympic Games with a national record of 48.40s and in seventh at the 2024 Olympic finals.

Athletics at the 2016 Summer Olympics – Men's 400 metres hurdles
The men's 400 metres hurdles event at the 2016 Summer Olympics took place between 15–18 August at the Olympic Stadium. There were 47 competitors from 33 nations. The event was won by Kerron Clement of the United States, the nation's 19th victory in the men's long hurdles. Clement (silver in 2008) became the ninth man to win multiple medals in the event. Both Kenya and Turkey earned their first medals in the men's 400 metres hurdles, the former with Boniface Mucheru Tumuti's silver and the latter with Yasmani Copello's bronze.
WVKS
WVKS (92.5 FM) also known as 92.5 KISS-FM is a commercial station in Toledo, Ohio, with a top 40 (CHR) format. It is owned by iHeartMedia with studios at Superior and Lafayette in downtown Toledo. 92.5 KISS-FM carries several nationally syndicated programs including Mojo in the Morning from WKQI Detroit and On Air with Ryan Seacrest from KIIS-FM Los Angeles.

WVKS has an effective radiated power (ERP) of 50,000 watts, the maximum for most Ohio FM stations. The transmitter is off Neiderhouse Road in Perrysburg Township, Ohio. WVKS broadcasts using HD Radio technology. Its HD2 subchannel carries an urban contemporary format known as "94.9 The Beat." That feeds FM translator W235BH, also in Perrysburg.

Beautiful music
Beautiful music (sometimes abbreviated as BM, B/EZ or BM/EZ for "beautiful music/easy listening") is a mostly instrumental music format that was prominent in North American radio from the late 1950s through the 1980s. Easy listening, elevator music, light music, mood music, and Muzak are other terms that overlap with this format and the style of music that it featured. Beautiful music can also be regarded as a subset of the middle of the road radio format.
Sharon H. Abrams
Sharon H. Abrams is an American nonprofit executive. She was the executive director of the Maine Children's Home for Little Wanderers, a nonprofit agency in Waterville, Maine, from 1992 to 2015. She began working at the Home as a teacher in 1973 and was subsequently promoted to program head, assistant executive director, and executive director. Since retiring from the latter position, she continues to work at the Home as a volunteer and social worker. She was inducted into the Maine Women's Hall of Fame in 2004.

Waterville, Maine
Waterville is a city in Kennebec County, Maine, United States, on the west bank of the Kennebec River. A college town, the city is home to Colby College, a NESCAC college, and Thomas College.

As of the 2020 census the population was 15,828. Along with Augusta, Waterville is one of the principal cities of the Augusta-Waterville, ME Micropolitan Statistical Area.
Stockholm Horse Show
The Stockholm International Horse Show, also known as the Sweden International Horse Show, is an annual international horse show held in Stockholm, Sweden. The show is held every year in November. It is the largest international equestrian indoor event in Sweden, together with the Gothenburg Horse Show. Since 2014 the event is hosted in Strawberry Arena.

The show includes several disciplines, such as Show-Jumping, Dressage, Eventing and Carriage Driving. The Dressage is a 5* event for the best Top 10 Dressage riders from the World Ranking List, the so-called 'Top 10 Dressage' CDI5. For show-jumping the 4* CSI event is part of the program. For driving the show is part of the FEI World Cup series. Besides the international disciplines, the program also includes shows, national classes and a competition for Icelandic Horses.

Carriage driving
Carriage driving is a form of competitive horse driving in harness in which larger two- or four-wheeled carriages (sometimes restored antiques) are pulled by a single horse, a pair, tandem or a four-in-hand team. Prince Philip, Duke of Edinburgh helped to expand the sport. He started to compete in carriage driving in 1971, and the early rule book was drafted under his supervision.

In competitions, the driver and horse(s) have to complete three tests: Dressage, Marathon, and Obstacle Driving. The International Federation for Equestrian Sports (FEI) oversees International Shows. The FEI Driving rules are followed in these competitions, which aim to protect the welfare of the horse and also ensure fairness in competitions.

Pleasure competitions also have classes which are judged on the turnout, neatness or suitability of the horse(s) and carriage.
General Motors W platform
The W-platform (also known as the W-body) was a General Motors automotive platform  underpinning both mid size and full-size front-wheel drive cars — across the platform's three generations from 1987-2016.

Code named GM10, the program began development in 1982 under Chairman Roger B. Smith and debuted in 1987 with the Pontiac Grand Prix, Buick Regal, and Oldsmobile Cutlass Supreme coupés — with the four-door sedan body style introduced for 1990.

The 1997–2005 2nd Generation, or W2 Platform, used both a 110.5 in full-size wheelbase as well as a 109 in mid-size wheelbase.

From 2005-2016, the W3 Platform used a 110.5 in, full-size wheelbase in sedan and coupe configurations, including for the Pontiac Grand Prix (2004-2008), Buick LaCrosse/Allure (2005-2009), Chevrolet Impala/Impala Limited (2005-2016) and Chevrolet Monte Carlo (2000-2007) — each with high performance V8 variants.

Coupe
A coupe or coupé (/kuːˈpeɪ/, also US: /kuːp/) is a passenger car with a sloping or truncated rear roofline and typically with two doors.

The term coupé was first applied to horse-drawn carriages for two passengers without rear-facing seats. It comes from the French past participle of couper, "cut".

Some coupé cars only have two seats, while some also feature rear seats. However, these rear seats are usually lower quality and much smaller than those in the front. Furthermore, "A fixed-top two-door sports car would be best and most appropriately be termed a 'sports coupe' or 'sports coupé'".
Paul Muldoon
Paul Muldoon  is an Irish poet, born in 1951. He has published more than thirty collections and won a Pulitzer Prize for Poetry and the T. S. Eliot Prize.  At Princeton University he has been both the Howard G. B. Clark '21 University Professor in the Humanities and Founding Chair of the Lewis Center for the Arts. He held the post of Oxford Professor of Poetry from 1999 to 2004 and has also served as president of the Poetry Society (UK) and poetry editor at The New Yorker.

The Poetry Society
The Poetry Society is a membership organisation, open to all, whose stated aim is "to promote the study, use and enjoyment of poetry". The society was founded in London in February 1909 as the Poetry Recital Society, becoming the Poetry Society in 1912. Its first president was Lady Margaret Sackville.

From its current premises in Covent Garden, London, The Poetry Society publishes The Poetry Review, a poetry magazine. Established in 1912, its current editor is the poet Wayne Holloway-Smith, who succeeded Emily Berry in 2023. Berry herself succeeded Maurice Riordan in 2017. Fiona Sampson was the magazine's editor from 2005 to 2012.

In 2011, "with the help of some initial funding from Arts Council England's Poetry & Young People Project", the poet Holly Hopkins helped set up the Young Poets Network arm of the society, which now focusses on supporting poets "up to the age of 25." The poet Jayant Kashyap called it "the best place for young poets based anywhere in the
world."
Borough Gardens, Dorchester
The Borough Gardens is a public open space in Dorchester, in Dorset, England, It was opened in 1896, and is listed Grade II in Historic England's Register of Parks and Gardens. The gardens are owned and maintained by Dorchester Town Council.

Register of Historic Parks and Gardens of Special Historic Interest in England
The Register of Historic Parks and Gardens of Special Historic Interest in England provides a listing and classification system for historic parks and gardens similar to that used for listed buildings. The register was set up by Historic England under the provisions of the National Heritage Act 1983. Over 1,600 sites are listed, ranging from the grounds of large stately homes to small domestic gardens, as well other designed landscapes such as town squares, public parks, and cemeteries. The register is published on the National Heritage List for England alongside other national heritage designations.