Chapter 07 - Order of an element mod n.sagews

Chapter 7 - Order of an element mod n##

Example 7.7

table([(k,mod(2^k,11)) for k in [1..10]], header_row=["k","2^k mod 11"], frame=True)

+----+------------+ | k | 2^k mod 11 | +====+============+ | 1 | 2 | +----+------------+ | 2 | 4 | +----+------------+ | 3 | 8 | +----+------------+ | 4 | 5 | +----+------------+ | 5 | 10 | +----+------------+ | 6 | 9 | +----+------------+ | 7 | 7 | +----+------------+ | 8 | 3 | +----+------------+ | 9 | 6 | +----+------------+ | 10 | 1 | +----+------------+