Indian Contributions to Number Theory

Brahmagupta, an Indian mathematician and astronomer, is widely recognized as the father of Indian Number Theory.

Aryabhata, an Indian mathematician and astronomer, is credited with the development of the concept of zero.

Bhaskara's Theorem states that the sum of two cubes cannot be a cube.

Bhaskara II, an Indian mathematician and astronomer, developed the Chakravala method for solving indeterminate quadratic equations.

The Hardy–Littlewood conjecture states that every positive integer can be expressed as the sum of three primes.

Brahmagupta, an Indian mathematician and astronomer, developed the concept of negative numbers.

Bhaskara's Theorem states that the product of two consecutive integers is always odd.

Aryabhata, an Indian mathematician and astronomer, developed the concept of decimal fractions.

Bhaskara's Theorem states that the sum of the squares of the first n natural numbers is given by (\frac{n(n+1)(2n+1)}{6}).

Brahmagupta, an Indian mathematician and astronomer, developed the concept of irrational numbers.

Bhaskara's Theorem states that the sum of the cubes of the first n natural numbers is given by (\frac{n^2(n+1)^2}{4}).

Bhaskara II, an Indian mathematician and astronomer, developed the concept of continued fractions.

Bhaskara's Theorem states that the product of two consecutive integers is always even.

Brahmagupta, an Indian mathematician and astronomer, developed the concept of modular arithmetic.

Bhaskara's Theorem states that the sum of the first n natural numbers is given by (\frac{n(n+1)}{2}).