Timeline of Number Theory - 18th Century

18th Century

• 1742 - Christian Goldbach conjectures that every even number greater than two can be expressed as the sum of two primes, now known as Goldbach's conjecture.
• 1770 - Joseph Louis Lagrange proves the four-square theorem, that every positive integer is the sum of four squares of integers. In the same year, Edward Waring conjectures Waring's problem, that for any positive integer k, every positive integer is the sum of a fixed number of kth powers.
• 1796 - Adrien-Marie Legendre conjectures the prime number theorem.