▁ir reducible ▁polynomial , ▁it ▁is ▁not ▁primitive ▁only ▁if ▁the ▁period ▁of ▁x ▁is ▁a ▁non - t rivial ▁factor ▁of ▁. ▁ ▁Pr imes ▁have ▁no ▁non - t rivial ▁factors .) ▁ ▁Although ▁the ▁M ers enne ▁Tw ister ▁pseudo - random ▁number ▁generator ▁does ▁not ▁use ▁a ▁tr in omial , ▁it ▁does ▁take ▁advantage ▁of ▁this . ▁ ▁Richard ▁Br ent ▁has ▁been ▁tab ulating ▁primitive ▁tr in omial s ▁of ▁this ▁form , ▁such ▁as ▁. ▁This ▁can ▁be ▁used ▁to ▁create ▁a ▁pseudo - random ▁number ▁generator ▁of ▁the ▁huge ▁period ▁, ▁or ▁roughly ▁ 1 0 2 2 3 3 8 6 1 7 . ▁ ▁References ▁ ▁External ▁links ▁▁▁ ▁Category : Field ▁theory ▁Category : Pol ynomial s <0x0A> </s> ▁The ▁University ▁of ▁A uck land ▁Fac ulty ▁of ▁Arts , ▁is ▁a ▁large ▁fac ulty ▁providing ▁a ▁range ▁of ▁program mes ▁in ▁over ▁ 5 0 ▁subjects . ▁The ▁fac ulty ▁is ▁based ▁on ▁the ▁city ▁campus , ▁however ▁the ▁depart ments ▁are ▁spread ▁all ▁over ▁the ▁campus . ▁The ▁main ▁building , ▁Arts ▁ 1 , ▁is ▁located ▁on ▁Sym onds ▁Street . ▁ ▁The ▁fac ulty ▁is ▁seen ▁as ▁being ▁the ▁best ▁of ▁its ▁kind ▁in ▁New ▁Zealand ▁and ▁in ▁ 2 0 0 7 ▁it ▁was ▁ranked ▁ 3 2 nd ▁in ▁the ▁world ▁ ▁School s ▁and ▁Dis cipl inary ▁Are as ▁ ▁After ▁ 2 0 1 4 ▁organis ational ▁reform ▁of ▁the ▁Fac ulty ▁of ▁Arts