Discrete Math: Divisibility (Need Help ASAP, will upvote)
1) Prove that if n is an odd positive integer, then n^2 is congruent to 1 (mod 8)
Discrete Math: Divisibility (Need Help ASAP, will upvote) 1) Prove that if n is an odd...
Discrete Math □ Prove or disprove: If n is any odd integer then (-1)"--1 Problem 6:
Discrete Math A Criterion for Divisibility by 3. Prove that a number is divisible by 3 if the sum of its digits (when written in base 10) is divisible by 3. Again, it will help to remember what decimal notation means.
Need help!! Please help — crypto math 1. Determine L13(18) for p 19. 2. Let p be prime, and α a primitive root mod p. Prove that α(p-1)/2-_1 (mod p). 3. It can be shown that 5 is a primitive root for the prime 1223. You want to solve the discrete logarithm problem 53 (mod 1223). You know 3611 Prove it. 1 (mod 1223). Is x even or odd? 1. Determine L13(18) for p 19. 2. Let p be prime,...
Discrete Math Use division into two cases to prove that for every integer n, 2\n(3n + 1).
1. (Integers: primes, divisibility, parity.) (a) Let n be a positive integer. Prove that two numbers na +3n+6 and n2 + 2n +7 cannot be prime at the same time. (b) Find 15261527863698656776712345678%5 without using a calculator. (c) Let a be an integer number. Suppose a%2 = 1. Find all possible values of (4a +1)%6. 2. (Integers: %, =) (a) Suppose a, b, n are integer numbers and n > 0. Prove that (a+b)%n = (a%n +B%n)%n. (b) Let a,...
(b) Prove that n is an odd pseudoprime number if and only if 2"-1-1 mod n. (b) Prove that n is an odd pseudoprime number if and only if 2"-1-1 mod n.
Discrete math show all work please Use mathematical induction to prove that the statements are true for every positive integer n. n[xn - (x - 2)] 1 + [x2 - (x - 1)] + [x:3 - (x - 1)] + ... + x n - (x - 1)] = 2 where x is any integer = 1
ly(mod n). 2. Let n > 1 be an odd integer and suppose ? = y2 (mod n) for some x Prove that ged(x - yn) and ged(x + y, n) are nontrivial divisors of n.
Discrete Math Use mathematical induction to prove that for all positive integers n, 2 + 4 + ... + (2n) = n(n+1).
Using discrete mathematical proofs: a. Prove that, for an odd integer m and an even integer n, 2m + 3n is even. b. Give a proof by contradiction that 1 + 3√ 2 is irrational.