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question consider this variation of the game of nim the game begins with n matches two players take turns removing
question assume that a chocolate bar consists of n squares arranged in a rectangular pattern the entire bar a smaller
question suppose there are n people in a group each aware of a scandal no one else in the group knows about these
question a knight on a chessboard can move one space horizontally in either direction and two spaces vertically in
question use mathematical induction to show that n people can divide a cake where each person gets one or more separate
question describe the luhn algorithm for finding the check digit of a credit card number and discuss the types of
question describe how public key cryptography is being applied are the ways it is applied secure given the status of
question describe how public key cryptography can be used to produce signed secret messages so that the recipient is
question describe the rabin public key cryptosystem explaining how to encrypt and how to decrypt messages and why it is
question explain why it would not be suitable to use p where p is a large prime as the modulus for encryption in the
question there are infinitely many stations on a train route suppose that the train stops at the first station and
question suppose that you know that a golfer plays the first hole of a golf course with an infinite number of holes and
question to prove summation formulae be sure to identify where you use the inductive hypothesislet p n be the statement
question find a prime factor of each of 10 different 20-digit odd integers selected at random keep track of how long it
question describe the lucas-lehmer test for determining whether a mersenne number is prime discuss the progress of the
question the question of whether there are infinitely many carmichael numbers was solved recently after being open for
question summarize the current status of factoring algorithms in terms of their complexity and the size of numbers that
question describe the history of the chinese remainder theorem describe some of the relevant problems posed in chinese
question when are the numbers of a sequence truly random numbers and not pseudorandom what shortcomings have been
question find the original plaintext message from the ciphertext message produced by encrypting the plaintext message
question use the autokey cipher to encrypt the message now is the time to decide ignoring spaces usinga the keystream
question find a set of four mutually relatively prime integers such that no two of them are relatively
question show that if the smallest prime factor p of the positive integer n is larger than radic3 n then np is prime or
question show that if a and b are positive integers with a ge b then gcda b a if a b gcda b 2 gcda2 b2 if a and b
question show that the check digit of an rtn can detect all single errors and determine which transposition errors an