Given the question: Information:  - A mathematician is someone who uses an extensive knowledge of mathematics in his/her work, typically to solve mathematical problems.  - A mathematical problem is a problem that is amenable to being represented, analyzed, and possibly solved, with the methods of mathematics. This can be a real-world problem, such as computing the orbits of the planets in the solar system, or a problem of a more abstract nature, such as Hilbert's problems.<br> It can also be a problem referring to the nature of mathematics itself, such as Russell's Paradox.  - Samuel Yates ( May 10 , 1919 in Savannah , Georgia -- April 22 , 1991 in New Brunswick , NJ ) was a computer engineer and mathematician who first described unique primes in the 1980s . In 1984 he began the list of `` Largest Known Primes '' and coined the name titanic prime for any prime with 1,000 or more decimal digits . He also called those who proved their primality `` titans '' . He is the author of Repunits and Repetends ( Library of Congress Catalog Card Number 82 - 50241 , Copyright 1982 by Samuel Yates and printed by Star Publishing Co. , Boynton Beach , Florida 33435 ) . Samuel Yatrofsky , married May Berkowitz on April 5 , 1941 , in Brooklyn , NY , and along with his wife , brother and brother 's wife , changed their surname from Yatrofsky to Yates on June 25 , 1943 , in Burlington County , New Jersey , due to anti-Semitism . His wife , Mae Berkowitz ( Yatrofsky ) Yates , survives him and lives in Boca Raton , FL . Samuel is also survived by two daughters , one son and many grandchildren and great grandchildren . He is buried in Beth Israel Jewish Cemetery in Woodbridge , NJ .  - Titanic prime is a term coined by Samuel Yates in the 1980s, denoting a prime number of at least 1000 decimal digits. Few such primes were known then, but the required size is trivial for modern computers.   - Mathematics (from Greek  "máthma", knowledge, study, learning) is the study of topics such as quantity (numbers), structure, space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics.  - 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.    After reading the paragraphs above, we are interested in knowing the entity with which 'samuel yates' exhibits the relationship of 'field of work'. Find the answer from the choices below.  Choices: - engineer  - library  - mathematician  - mathematics  - nature  - number theory
The answer is:
number theory