Some of Hilbert's problems remains unsolved, and some require formidable background and preparation to understand, say Murty and Fodden, but upper-level undergraduate mathematics students with just a basic introduction to elementary number theory
and mathematical logic can understand the proof of his tenth problem.
GCD and LCM operations  are both essential elementary number theory
algorithms that are commonly used in the design of many public key crytoprocessors such as RSA cryptosystem  and Schmidt-Samoa cryptosystem .
Elementary Number Theory
. Tata McGra-Hill Publishing Company; New Delhi (India).
252, Problem 77) is typical of a collection of problems found in courses having a component unit in elementary number theory
, especially with regard to number relationships among the positive integers.
 Zhang Wenpeng, The elementary number theory
(in Chinese), Shaanxi Normal University Press, Xi'an, 2007.
The main prerequisite is basic linear algebra, though some knowledge of elementary number theory
would be helpful, and the chapters on polynomial factorization assume some familiarity with basic abstract algebra, especially the theory of polynomial rings.
of Maryland-College Park) introduces the theory of elliptic curves to readers with a background in elementary number theory
and in groups and fields at about the level of a strong undergraduate or beginning graduate course in abstract algebra; in particular, he does not assume any knowledge of algebraic geometry.
She was engaged in proving a statement of elementary number theory
. We asked her to write the thoughts that accompanied her solving process.
The contest is open to secondary students and includes topics relating to Euclidian and analytic geometry, trigonometry, the binomial theorem, and elementary number theory
. The paper will be 2.5 hours in length, and it consists of two parts for a total of 12 problems.
Some nursing curricula include a course in contemporary mathematics, which is composed of the study and applications of elementary number theory
, algebra, geometry, measurement, graph sketching and interpretations, and descriptive statistics.
One of the most important results of elementary number theory
is the so-called law of quadratic reciprocity, which links prime numbers (those evenly divisible only by themselves and one) and perfect squares (whole numbers multiplied by themselves).
* use elementary number theory
to formulate conjectures, and