I believe n should be 1. Can you solve for n to double check? 5354-1733 ≡ n mod 5353

Q: 46. Find the order of 7 modulo 172.

A:

Q: Find all solutions to 17r = 14 (mod 21).

A:

Q: Use Fermat's Little Theorem to find each value. Remember, x-1) =1 (mod p). Write your answer in…

A:

Q: Solve 34X=77 mod 89 3. Solve

A:

Q: You are trying to factor n = 31831 which happens to be the product of 2 primes. Suppose your tions.…

A: An effective way to determine the greatest common divisor (GCD) of two integers is to use the…

Q: 32+104 ≡ x(mod5) How do you solve these?

A:

Q: If x1 mod 17 = 5 then %3D x mod 17 = 7 x mod 17 = 6 Ox mod 17 = 5

A:

Q: How would I solve for n and m (without a calculator)? Please explain. 5" = 3( mod 97) 5m = 7( mod…

A: to find the value of m , n when 5n≡3 mod 975m≡7 mod 97 (i) we can write 5n≡3 mod 97 as   5n=97s+3…

Q: 2. Determine x >0 for each case: 5903 = x (mod 60), 17342 =r (mod 5).

A:

Q: Without using a calculator, one can determine the ones digits of 4879 100 Select one: O True False

A:

Q: The value of 9446 (mod 47) is: 46 O 47

A: 9446(mod 47)

Q: 3x+5 ≡ 7x-2 mod 23  Solve above

A:

Q: Solve 371044 = ... (mod59)

A:

Q: Find 134! (mod 713). Your answer should be an integer of the form all your steps.

A: Introduction: The modular expression is given as, 1341(mod 713). We have to find the value of the…

Q: The value of 52003 mod 7 is? 4 0 8 0 3 0

A: See the detailed solution below.

Q: (a) Solve for x if 25x = 15(mod 29).

A: Linear congruence

Q: Problem 7 Suppose b is any integer. Ifb mod 12 = 5, what is 6b mod 12? In other words, if division…

A:

Q: (g) There are exactly six prime numbers p with the property that x81 = x (mod p) for every integer…

A: Given that, x81≡xmod p Find the six prime which satisfies the given congruence. Fermat's Theorem: If…

Q: Find the smallest positive integer x that solves the congruence: 16x = 5 (mod 83 ). Show all steps…

A: We are given that        16x ≡ 5 (mod 83)   Multiplying both sides by 5, we get       5×16x ≡ 5×5…

Q: all Natural numbers, n, that make 62 ≡≡ 46 mod n. Show all your work:

A:

Q: True or False?  −29≡5(mod 17)

A:

Q: True or False. Briefly explain why.  The least nonnegative residue of −123 modulo 12 is 3.

A: We recall the definition.

Q: (a) Find all solutions r to the congruence 341x = 16 mod 912

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: For which p= 3 mod 4 is i a square in F»[i]? For which p = 3 mod 4 is i the square of an element in…

A:

Q: Using Euler's Theorem, simplify the following numbers: o = 3, q = 5, x = 2, and a = 2. Which of the…

A:

Q: If 3x + 2 = 0 (mod 7), which of the following values can x assume? О а. -3 O b. 0 О с. 2 O d. -1

A: Given 3x + 2 = 0 (mod 7).

Q: How to solve this?

A: According to the given information, let p be a prime number such that p>2. It is required to…

Q: 9999 =9 (mod 10) Select one: O True O False

A: Any number with 9 in ones place when multiplied with itself will give 1 in ones place and when it is…

Q: Suppose b is any integer. If b mod 12 = 7, what is 8b mod 12? In other words, if division of b by 12…

A:

Q: Find an integer A so that: A79 = 7 (mod 277) Please solve step by step thanks!

A: Given an equation. Let's solve for A.

Q: Compute the value of the expression: [72 ·(-65) + 211] mod 7

A: To calculate the below modulo.  72⋅−65+211mod  7

Q: Discrete Math: Find the largest negative value of x such that x = 2 mod 3, x = 3 mod 5, x = 2 mod 7.

A:

Q: Solve each equation for x. (If there is no solution, enter NO SOLUTION.) (a)     x + 8 ≡ 1, (mod 9)…

A: We solve each equation for x.

Q: Q4 (a) Solve for x if 25x = 15(mod 29). (b) Determine the smallest positive integer so that when…

A:

Q: In the formula a b (mod n), what is the value of b in 36 b (mod 5)?

A:

Q: Intro to Elementary Number Theory Homework Problems.

A: 1. The total number of solutions modulo 37 to x2≡7(mod37) is 0.  2. the total number of solutions…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.