n = 63581025026798752582068634750958165509524918287854408251668841339337 ( 226 bit ) ---------- Bob : a = 15261491165527011572152459413229681843705432846926845611010002855602 Alice : e = 1 Bob : x0 = 16817430187154365639944160836133368501015230292819600264836663418878 Alice : x0^2 mod n = 15261491165527011572152459413229681843705432846926845611010002855602 jacobi(x0,n) = -1 => Bob wins. ---------- Bob : a = 24089116601301619911671187792359345972986841147225036260851894134301 Alice : e = -1 Bob : x0 = 13139467826378076073270232388346203431848106945492315071898482755953 Alice : x0^2 mod n = 24089116601301619911671187792359345972986841147225036260851894134301 jacobi(x0,n) = -1 => Alice wins. ---------- Bob : a = 40273213663528871528482450429386860572343042539292525541037305825287 Alice : e = -1 Bob : x0 = 17564971739527515619598005867495185402975733449737543092339099785898 Alice : x0^2 mod n = 40273213663528871528482450429386860572343042539292525541037305825287 jacobi(x0,n) = -1 => Alice wins. ---------- Bob : a = 26853092437097762974191444742897410266681965440302985155232399908554 Alice : e = 1 Bob : x0 = 5346148491269515504997092819697361728874465934538814355437002340583 Alice : x0^2 mod n = 26853092437097762974191444742897410266681965440302985155232399908554 jacobi(x0,n) = 1 => Alice wins. ---------- Bob : a = 33701736861909702213507530712432611932708842198232562787561352973586 Alice : e = -1 Bob : x0 = 35525857292498698611953791828413443594591515219249621659114459826921 Alice : x0^2 mod n = 33701736861909702213507530712432611932708842198232562787561352973586 jacobi(x0,n) = 1 => Bob wins. ---------- Bob : a = 42292402954304038058030906474528377125149936966169115777602443952525 Alice : e = 1 Bob : x0 = 24697509908393373429134960185326954033842403448757713380637602642706 Alice : x0^2 mod n = 42292402954304038058030906474528377125149936966169115777602443952525 jacobi(x0,n) = 1 => Alice wins. ---------- Bob : a = 7600842502914895768526830625015928174993060185889729256147826607764 Alice : e = 1 Bob : x0 = 5365357756155030590663419677701516948077094299585670398668182174189 Alice : x0^2 mod n = 7600842502914895768526830625015928174993060185889729256147826607764 jacobi(x0,n) = -1 => Bob wins.