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 column is a primitive root modulo that number. The columns are labelled with the primes less than 100. The entry in row "p", column "q" is the index of "q" modulo "p" for the given root. For example, in row 11, 2 is given as the primitive root, and in column 5 the entry is 4. This means that 2 = 16 ≡ 5 (mod 11). For the index of a composite number, add the indices of its prime factors.For example, in row 11, the index of 6 is the sum of the indices for 2 and 3: . The