Educação Superior::Ciências Exatas e da Terra::MatemáticaA surprising conjecture about the gaps between primes, namely: Let {p_n} denote the ordered sequence of prime numbers p_n, and define each term in the sequence {d_{1,n}} by d_{1,n}} = p_(n+1)- p_n, where n is positive. Also, for each integer k greater than 1, let the terms in {d_{k,n}} be given by d_{k,n}= |d_{k-1,n+1} - d_{k-1,n}|. Gilbreath's conjecture states that every term in the sequence a_{k}=d_{k,1} is 1. With this Demonstration you can check this amazing statement up to the 1000th difference series. The controls let you see the matrix of d_{k,n}, where k goes from k_min to k_max, and n goes from 1 to n_max (If k_min > k_max, they switch roles)