Answer the following question: Information: - A prime minister is the most senior minister of cabinet in the executive branch of government, often in a parliamentary or semi-presidential system. In many systems, the prime minister selects and may dismiss other members of the cabinet, and allocates posts to members within the government. In most systems, the prime minister is the presiding member and chairman of the cabinet. In a minority of systems, notably in semi-presidential systems of government, a prime minister is the official who is appointed to manage the civil service and execute the directives of the head of state. In parliamentary systems fashioned after the Westminster system, the prime minister is the presiding and actual head of government and head of the executive branch. In such systems, the head of state or the head of state's official representative (i.e. the monarch, president, or governor-general) usually holds a largely ceremonial position, although often with reserve powers. - The Association of American Universities (AAU) is an international organization of leading research universities devoted to maintaining a strong system of academic research and education. It consists of 60 universities in the United States (both public and private) and two universities in Canada. - The British mathematician Allan Joseph Champneys Cunningham (Delhi 1842 London 1928) started a military career with the East India Company's Bengal (later Royal) Engineers. During 18711881, he was Instructor in Mathematics at the Thomason Civil Engineering College, Roorkee. Upon returning to the United Kingdom in 1881, he continued teaching at military institutes in Chatham, Dublin and Shorncliffe. He left the army in 1891. - In number theory, integer factorization is the decomposition of a composite number into a product of smaller integers. If these integers are further restricted to prime numbers, the process is called prime factorization. - The Arizona Territory was a territory of the United States that existed from February 24, 1863 until February 14, 1912, when the remaining extent of the territory was admitted to the Union as the state of Arizona. It was created from the western half of the New Mexico Territory during the American Civil War. - In number theory, the continued fraction factorization method (CFRAC) is an integer factorization algorithm. It is a general-purpose algorithm, meaning that it is suitable for factoring any integer "n", not depending on special form or properties. It was described by D. H. Lehmer and R. E. Powers in 1931, and developed as a computer algorithm by Michael A. Morrison and John Brillhart in 1975. - The Cunningham project is a project, started in 1925, to factor numbers of the form "b" 1 for "b" = 2, 3, 5, 6, 7, 10, 11, 12 and large "n". The project is named after Allan Joseph Champneys Cunningham, who published the first version of the table together with Herbert J. Woodall. There are three printed versions of the table, the most recent published in 2002, as well as an online version. - In mathematics, factorization ("also" factorisation in some forms of British English) or factoring is the decomposition of an object (for example, a number, a polynomial, or a matrix) into a product of other objects, or "factors", which when multiplied together give the original. For example, the number 15 factors into primes as 3 5, and the polynomial "x" 4 factors as ("x" 2)("x" + 2). In all cases, a product of simpler objects is obtained. - The University of Arizona (also referred to as U of A, UA, or Arizona) is a public research university in Tucson, Arizona, United States. Founded in 1885, the UA was the first university in the Arizona Territory. The university operates two medical schools (University of Arizona College of Medicine - Tucson and the University of Arizona College of Medicine - Phoenix) and is affiliated with the region's only academic medical centers (Banner - University Medical Center Tucson and Banner - University Medical Center Phoenix). The university is also home to the James E. Rogers College of Law and numerous other nationally ranked graduate and professional schools. During the 2015-2016 academic year, there was a total enrollment of 43,088 students, including 33,732 undergraduates. The University of Arizona is governed by the Arizona Board of Regents. The mission of the University of Arizona is, "To improve the prospects and enrich the lives of the people of Arizona and the world through education, research, creative expression, and community and business partnerships." Arizona is one of the elected members of the Association of American Universities (an organization of North America's premier research institutions) and is the only representative from the state of Arizona to this group. - Professor (commonly abbreviated as "prof.") is an academic rank at universities and other post-secondary education and research institutions in most countries. Literally, "professor" derives from Latin as a "person who professes" being usually an expert in arts or sciences, a teacher of the highest rank. - Emeritus, in its current usage, is an adjective used to designate a retired professor, pastor, bishop, pope, president, prime minister, or other person. - In mathematics and computer science, an algorithm is a self-contained sequence of actions to be performed. Algorithms perform calculation, data processing, and/or automated reasoning tasks. - A president is the leader of a country or a division or part of a country, typically a republic, a democracy, or a dictatorship. The title "president" is sometimes used by extension for leaders of other groups, including corporate entities and social groups. - In number theory, the prime factors of a positive integer are the prime numbers that divide that integer exactly. The prime factorization of a positive integer is a list of the integer's prime factors, together with their multiplicities; the process of determining these factors is called integer factorization. The fundamental theorem of arithmetic says that every positive integer has a single unique prime factorization. - 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. - Tucson is a city and the county seat of Pima County, Arizona, United States, and home to the University of Arizona. The 2010 United States Census put the population at 520,116, while the 2015 estimated population of the entire Tucson metropolitan statistical area (MSA) was 980,263. The Tucson MSA forms part of the larger Tucson-Nogales combined statistical area (CSA), with a total population of 1,010,025 as of the 2010 Census. Tucson is the second-largest populated city in Arizona behind Phoenix, both of which anchor the Arizona Sun Corridor. The city is located southeast of Phoenix and north of the U.S.Mexico border. Tucson is the 33rd largest city and the 59th largest metropolitan area in the United States. Roughly 150 Tucson companies are involved in the design and manufacture of optics and optoelectronics systems, earning Tucson the nickname Optics Valley. - Number theory or, in older usage, arithmetic is a branch of pure mathematics devoted primarily to the study of the integers. It is sometimes called "The Queen of Mathematics" because of its foundational place in the discipline. Number theorists study prime numbers as well as the properties of objects made out of integers (e.g., rational numbers) or defined as generalizations of the integers (e.g., algebraic integers). - John David Brillhart is a mathematician , professor emeritus at the University of Arizona . He is known for his work in integer factorization , including the development of the continued fraction factorization method . He has been a principal participant in the Cunningham project . Brillhart received his A.B. in 1953 , his M.A. in 1966 , and his Ph.D. in 1967 , all from UC Berkeley . He is in the process of editing the collected works of Leonard Carlitz . - James E. Rogers College of Law is the law school at the University of Arizona located in Tucson, Arizona and was the first law school founded in the State of Arizona, opening its doors in 1915. Also known as University of Arizona College of Law, it was renamed in 1999 in honor of noted broadcasting executive and philanthropist James E. Rogers, a 1962 graduate of the school, and chairman of Sunbelt Communications Company based in Las Vegas, Nevada. The core values of the College are justice, professional integrity, public leadership, and community service. Each entering class at Arizona Law has approximately 150 students, with a total student body of 500 students. What entity does 'john brillhart' has the relation 'field of work' with?
Answer:
number theory