Information: - In mathematics, a Mersenne prime is a prime number that is one less than a power of two. That is, it is a prime number that can be written in the form for some integer . They are named after Marin Mersenne, a French Minim friar, who studied them in the early 17th century. The first four Mersenne primes are 3, 7, 31, and 127. - Paul Gage is a research computer scientist who works at Cray Supercomputers . He is most well known for collaborating with David Slowinski on an algorithm that is credited with the discovery of several of the largest Mersenne primes : 2756839 1 in 1992 , 2859433 1 in 1994 , and 21257787 1 in 1996 . - A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is called a composite number. For example, 5 is prime because 1 and 5 are its only positive integer factors, whereas 6 is composite because it has the divisors 2 and 3 in addition to 1 and 6. The fundamental theorem of arithmetic establishes the central role of primes in number theory: any integer greater than 1 can be expressed as a product of primes that is unique up to ordering. The uniqueness in this theorem requires excluding 1 as a prime because one can include arbitrarily many instances of 1 in any factorization, e.g., 3, 1 3, 1 1 3, etc. are all valid factorizations of 3. - A mathematician is someone who uses an extensive knowledge of mathematics in his/her work, typically to solve mathematical problems. - David Slowinski is a mathematician involved in prime numbers. His career highlights have included the discovery of several of the largest known Mersenne primes: He has also written several textbooks on the subject. What object entity has the relation of 'field of work' with the subject 'paul gage'? Choices: - mathematician - mathematics - number theory
number theory
Ques:Information: - The flag of Mordovia , in the Russian Federation , is a horizontal tricolour of red , white and blue . It is charged with a brown - red sun emblem in the center of the white strip . The emblem is divide into four parts , symbolizing the four Mordvin tribes . Its proportions are 1:2:1 . The flag was adopted on March 30 , 1995 . The proportions are 1:2 . - Russians ("russkiye") are an East Slavic ethnic group native to Eastern Europe. The majority of Russians inhabit the nation state of Russia, while notable minorities exist in Ukraine, Kazakhstan, and other former Soviet states such as Belarus. A large Russian diaspora exists all over the world, with notable numbers in the United States, Germany, Israel, and Canada. Russians are the most numerous ethnic group in Europe. - Saransk is the capital city of the Republic of Mordovia, Russia, as well as its financial and economic center. It is located in the Volga basin at the confluence of the Saranka and Insar Rivers, about east of Moscow. Population: - The Republic of Mordovia (Moksha/Erzya: , "Mordovija Respublika"), also known in English as Mordvinia, is a federal subject of Russia (a republic). Its capital is the city of Saransk. As of the 2010 Census, the population of the republic was 834,755. Ethnic Russians (53.4%) and Mordvins (40.0%) account for the majority of the population. - Russia (from the Rus'), also officially known as the Russian Federation, is a country in Eurasia. At , Russia is the largest country in the world by surface area, covering more than one-eighth of the Earth's inhabited land area, and the ninth most populous, with over 140million people at the end of March 2016. The European western part of the country is much more populated and urbanised than the eastern, about 77% of the population live in European Russia. Russia's capital Moscow is one of the largest cities in the world, other major urban centers include Saint Petersburg, Novosibirsk, Yekaterinburg, Nizhny Novgorod and Samara. - The Mordvins, also "Mordva", "Mordvinians", "Mordovians" (/"erat", /"mokset", /"muxilar", /mordva; for Qaratai: /"karatayi"), are the members of a people who speak a Mordvinic language of the Uralic language family and live mainly in the Republic of Mordovia and other parts of the middle Volga River region of Russia. What object entity has the relation of 'applies to jurisdiction' with the subject 'flag of mordovia'? Choices: - europe - germany - israel - moscow - republic of mordovia - russia - saint petersburg - ukraine

Ans:
republic of mordovia