Find 12 ^– 1(mod 17), the inverse of 12 modulo 17

Q: What is the remainder when 2021202120212021 is divided by 2020? use congruence modulo

A: a = 2021202120212021 b = 2020 If a = qb + r then  a ≡ r mod n.

Q: list five different natural numbers that are congruent to 10 modulo 4

A: We know that a≡b(mod m) if m  divides a-b 14≡10 (mod 4)  ∵ 14-10 =4 which divides 4 18≡10 (mod 4)  ∵…

Q: Does 24 have a multiplicative inverse modulo 138 Explain. What integers modulo 16 have…

A: (3) We are asked to find if 24 has a multiplicative inverse modulo 138. We see that the numbers…

Q: Compute C7,2. (Enter an exact number.)

A: A combination is a selection of all or part of a set of objects, without follow any order in which…

Q: Find the least positive inverse for 97 modulo 660.

A: Theorem used in the solution. For all integers a and b if gcd(a,b)=1 then there exists an integer s…

Q: Find the inverse of 31 modulo 73

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Q: The set {1,2,3,4} under multiplication modulo 5.

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Q: Find the inverse of 17 mod 26 by using Euclid's Algorithm?.

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Q: Compute the addition modulo operation 3+2 2 0. 1 3 O O

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Q: Use Euclid's Algorithm to find a multiplicative inverse of 23 mod 75. Once found, solve the linear…

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Q: What is the least residue of 7162 modulo 17?

A: Multiplication rule for congruencesIf a ≡ b (mod n) and c ≡ d (mod n), thenac ≡ bd (mod n). Power…

Q: Show that every nonzero residue (mod 17) can be written as a power of 3

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Q: Find all the primitive roots modulo 125.

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Q: Find the least residue of  -5 -46 modulo 14.

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Q: Find the inverse of 23 modulo 97

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Q: How many integers have inverses modulo 144? Justify.

A: Justify how many integers have inverse modulo 144.

Q: Find the inverse s of -1959 modulo 979 such that 0 <s< 979

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Q: What is the multiplicative inverse of 21 in mod 23?

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Q: Find inverse of 55 modulo 243

A: Find inverse of 55 modulo 243

Q: Use the index system modulo 19 to find all solutions of x3≡11(mod 19) and 5x≡4(mod 19).

A: The congruences given are as follows: x3≡11mod 195x≡4mod 19 We are asked to find the value of x that…

Q: If the list 7, 10, 5, 9, 11, 12, 6,"3, 8, 4, 2, 1 aj6, consists of powers of g = 7 from 1 to 12…

A: Here we see from the table that 4  Is at location 10 from starting    4=710 mod 13    Taking log7…

Q: Inverse of 9 modulo 23 is -18 -17 18 17 Windows by

A: Solution: We have to find the inverse of 9 modulo 23. Let x be the required inverse. Then, 9x≡1mod…

Q: Use Fermat’s little theorem to evaluate 9200 mod 19.

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Q: Is it true that 90 ≡ 64 (mod 13)?

A: As given equation 90≅64(mod 13) is False.

Q: Please explain how to solve: (5 · 17) (mod 8)

A: To solve  (5*17) (mod8) we use the properties of modulo

Q: Number of solutions of the equation 3x - 2x + 5x2 + x+2= 0 under modulo 5 is'are OB. OD 3

A: Consider the given equation, 3x4 - 2x3 + 5x2 + x + 2 = 0 The set modelo 5 is, ℤ5={0, 1, 2, 3, 4}…

Q: Is 7|(15+20): True or False? 28 is congruent to 42 modulo 6: True or False?

A: I am solving these in step 2

Q: 8. How many positive divisors does 2000= (2^4)(5^3) have?

A: Note: Hey there! Thank you for the question. As you have posted multiple independent questions, we…

Q: whether 2 is a primitive root modulo 19. Please state the reason.

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Q: Inverse of 9 modulo 23 is - 18 - 17 17 18

A: 18 is the answer.

Q: Find inverse of 65 modulo 243

A: The definition of inverse modulo is: a is said to be the inverse of b modulo p, if ab≡1(mod p)

Q: Find the order of 4 modulo 49.

A: Evaluate order of 4 modulo 49.

Q: Find [7]^-1 in Z55 under multiplication.

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Q: Find all inverses of 7 modulo 37.

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Q: If 3x = 6 mod 9, when -2 <x< 8. Then O x=(-1, 3, 5} x=(-1, 2, 5} O x=(-1, 2, 3} O x=(-1, 5, 6}

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Q: Number theory

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Q: Find a number that is less than 1740719 which is congruent to 577 modulo 1279 and congruent to 317…

A: Given, a number that is less than 1740719 which is congruent to 577 modulo 1279 and congruent to 317…

Q: Use Chinese theorem to find all positive integers that makes this congruence true:        x = 2 mod…

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Q: Then Find inverse of 21 mod 200.

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Q: Construct the addition and multiplication table for Z4 (Note that, both operations are mod4)

A: We have to solve given problem:

Q: The inverse of 3 modulo 7is -2 0 صواب İhi O

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Q: If 3x = 6 mod 9, when -2 < x< 8. Then O x={-1, 3, 5} x-1, 2, 5} O x=(-1, 2, 3} O x=(-1, 5, 6}

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Q: Find an inverse of 43 modulo 660.

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Q: Compute 59^11 mod 13 = You should know how to do this without a calculator by using the modulo…

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Q: Find a multiplicative inverse of  21 modulo 46

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Q: Calculate 433940584939 mod 988027. Show how do obtain your claimed solution.

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Q: Find the order of 5 modulo 31.

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Q: Use Fermat’s little theorem to find 7121 mod 13.

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Q: Compute (135 - 14) mod 3 without a calculator.

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