CHRISTIAN Goldbach
Number theory
Number Theory is…
A branch of pure mathematics devotes primarily to the study of the integers, sometimes called “The Queen of Mathematics” because of its foundational place in the discipline.
The study of the properties of whole numbers.
Primes and prime factorization.
The study of the set of positive whole numbers.
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…
Prime: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31…
Composite: 4, 6, 8, 9, 10, 12, 14, 15, 16…
1(Modulo 4): 1, 5, 9, 13, 17, 21, 25…
3(Modulo 4): 3, 7, 11, 15, 19, 23, 27…
Triangular: 1, 3, 6, 10, 15, 21…
Perfect: 6, 28, 496…
Fibonacci: 1, 1, 2, 3, 5, 8, 13, 21…
A prime number is a natural number greater than 1 that has no positive divisions other than 1 itself. A natural number greater than 1 that is not a prime number is called a composite.
The History:
1800 BCE
Euler gave Goldbach a proof (sums of squares) in two letters dated 1747 and 1749.
A branch of pure mathematics devotes primarily to the study of the integers, sometimes called “The Queen of Mathematics” because of its foundational place in the discipline.
The study of the properties of whole numbers.
Primes and prime factorization.
The study of the set of positive whole numbers.
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…
Prime: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31…
Composite: 4, 6, 8, 9, 10, 12, 14, 15, 16…
1(Modulo 4): 1, 5, 9, 13, 17, 21, 25…
3(Modulo 4): 3, 7, 11, 15, 19, 23, 27…
Triangular: 1, 3, 6, 10, 15, 21…
Perfect: 6, 28, 496…
Fibonacci: 1, 1, 2, 3, 5, 8, 13, 21…
A prime number is a natural number greater than 1 that has no positive divisions other than 1 itself. A natural number greater than 1 that is not a prime number is called a composite.
The History:
1800 BCE
Euler gave Goldbach a proof (sums of squares) in two letters dated 1747 and 1749.