Gilbreath's conjecture

dc.contributor	Universidade Estadual Paulista (UNESP)
dc.creator	Bohus, Peter
dc.creator	Károlyi, Márton
dc.date	2016-10-26T18:04:46Z
dc.date	2016-10-26T18:04:46Z
dc.date.accessioned	2017-04-06T12:48:44Z
dc.date.available	2017-04-06T12:48:44Z
dc.identifier	http://acervodigital.unesp.br/handle/unesp/369003
dc.identifier	http://objetoseducacionais2.mec.gov.br/handle/mec/22882
dc.identifier.uri	http://repositorioslatinoamericanos.uchile.cl/handle/2250/965285
dc.description	Educação Superior::Ciências Exatas e da Terra::Matemática
dc.description	A 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)
dc.publisher	Wolfram demonstrations project
dc.relation	GilbreathsConjecture.nbp
dc.rights	DEmonstration freeware using MathematicaPlayer
dc.subject	Números primos
dc.subject	Educação Superior::Ciências Exatas e da Terra::Matemática::Teoria dos Números
dc.title	Gilbreath's conjecture
dc.type	Otro