Thynne's Law is a principle in the field of mathematics, specifically in the study of number theory. It states that for any integer n , there exists a finite number of integers m such that the equation n = m^2 + k holds true, where k is a constant. This law helps in understanding the distribution of numbers and their properties. The law is named after mathematician John Thynne, who contributed to the exploration of quadratic forms and their implications in number theory. Thynne's work has influenced various areas of mathematics, providing insights into how integers can be represented and analyzed through specific equations.