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Hace 3 días · Number theory is the study of properties of the integers. Because of the fundamental nature of the integers in mathematics, and the fundamental nature of mathematics in science, the famous mathematician and physicist Gauss wrote:
Hace 1 día · In this eighth video on number theory, I describe an algorithm for computing the continued fraction of the square root of an arbitrary non-square positive in...
- 15 min
- Dave's Math Channel
Seminars. Number theory seminars. Next seminar: Ergodic Approach to the Mixing Conjecture. 16 May 2024 16:00. Junior number theory seminars. Next seminar: TBC. 20 May 2024 16:00.
Hace 1 día · Arithmetic is an elementary branch of mathematics that studies numerical operations like addition, subtraction, multiplication, and division. In a wider sense, it also includes exponentiation, extraction of roots, and taking logarithms . Arithmetic systems can be distinguished based on the type of number they operate on.
Hace 1 día · Fibonacci sequence. A tiling with squares whose side lengths are successive Fibonacci numbers: 1, 1, 2, 3, 5, 8, 13 and 21. In mathematics, the Fibonacci sequence is a sequence in which each number is the sum of the two preceding ones. Numbers that are part of the Fibonacci sequence are known as Fibonacci numbers, commonly denoted Fn .
Hace 3 días · Wilson's theorem states that. a positive integer n > 1 n > 1 is a prime if and only if (n-1)! \equiv -1 \pmod {n} (n−1)! ≡ −1 (mod n). In other words, (n-1)! (n−1)! is 1 less than a multiple of n n. This is useful in evaluating computations of (n-1)! (n− 1)!, especially in Olympiad number theory problems.
Hace 4 días · Number theory. Natural logarithms are closely linked to counting prime numbers (2, 3, 5, 7, 11, ...), an important topic in number theory. For any integer x, the quantity of prime numbers less than or equal to x is denoted π (x). The prime number theorem asserts that π (x) is approximately given by
