In Number Recreation Theory
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Additive number theory - Additive number theory is an area of number theory that studies ways to express a determined integer as a sum of integers in a set. A famous problem in this area of number theory is Goldbach's conjecture.
List of recreational number theory topics - This is a list of recreational number theory topics (see number theory, recreational mathematics). Listing here is not pejorative: many famous topics in number theory have origins in challenging problems posed purely for their own sake.
Probabilistic number theory - Probabilistic number theory is a subfield of number theory, which uses explicitly probability to answer questions of number theory. One basic idea underlying it is that different prime numbers are, in some serious sense, like independent random variables.
Algebraic number theory - Algebraic number theory is a branch of number theory in which the concept of a number is expanded to the algebraic numbers which are roots of polynomials with rational coefficients. An algebraic number field is any finite (and therefore algebraic) field extension of the ...
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