Joe Root his first golden duck in his ODI career. The 5th ODI was better for Root as he scored a quick 21 before being bowled and also took the wicket of George Bailey. England lost the series 2–1 and Root finished the series with 36 runs and 1 wicket. Root was selected for the 2013-14 Ashes series. He was selected at number 6 for the first Test as Michael Carberry was given the opening batsman role alongside Alastair Cook. Root only managed 2 runs from 7 balls in the first innings before being caught off a Mitchell Johnson delivery. In the
Primitive root modulo n adding up elements of this multiplicative group? As it happens, sums (or differences) of two primitive roots add up to all elements of the index 2 subgroup of Z/"n" Z for even "n", and to the whole group Z/"n" Z when "n" is odd: No simple general formula to compute primitive roots modulo "n" is known. There are however methods to locate a primitive root that are faster than simply trying out all candidates. If the multiplicative order of a number "m" modulo "n" is equal to formula_2 (the order of Z), then it is a primitive root. In fact