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Number theory

Number hypothesis is a part of unadulterated science committed basically to the investigation of the numbers and number esteemed capacities. German mathematician Carl Friedrich Gauss (1777–1855) said, "Math is the sovereign of technical disciplines and number hypothesis is the sovereign of mathematics. Number scholars study indivisible numbers just as the properties of numerical articles made out of whole numbers (for instance, judicious numbers) or characterized as speculations of the numbers (for instance, logarithmic whole numbers). 

Numbers can be viewed as either in themselves or as answers for conditions (Diophantine math). Inquiries in number hypotheses are frequently best perceived through the investigation of insightful items (for instance, the Riemann zeta work) that encode properties of the whole numbers, primes or other number-hypothetical articles in some design (scientific number hypothesis). One may likewise concentrate genuine numbers corresponding to sane numbers, for instance, as approximated by the last-mentioned (Diophantine estimation).

Here are some familiar and not-so-familiar examples: 

odd 1,3,5,7,9,11,... 

even 2,4,6,8,10,... 

square 1,4,9,16,25,36,... 

cube 1,8,27,64,125,...

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The study of natural numbers and integers is the subject of number theory, a branch of pure mathematics. It is the study of the set of positive whole numbers sometimes referred to as the natural numbers.

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