O Find 5675 (mod 19

Q: Find x in each of the cases below. If possible a detailed explaination. Thank you.  x19= 36 mod 97…

A: Solution: (a) Here n = 97. Compute φ(n) = 96. Set e = 10.>> n = 97n =97>>…

Q: Evaluate (5856592 * 888747 * 76334) mod 10. Box in your final answer. Remember to show all work.

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Q: 1) Find 100147 + 147100 (mod 11)

A: Image is attached with detailed solution.

Q: Find (220 + 330 + 440 + 550 + 660) mod 7.

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Q: 4444 is divided by a 1.19) find the remainder when 4444 * 2?=-1 (mod a).

A: 1.19 We have 4444  ≡  7 (mod 9). So, 44444444 ≡ 7 4444 (mod 9) Now,       73 ≡1 (mod 9) Or,…

Q: Solve the con Congruence 1x²=6 (mod17)

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Q: Evaluate (3459874 * 457832 * 34568) mod 10. Box in your final answer. Remember to show all work.

A: As we know  a*b mod n = (a mod n)*(b mod n)

Q: Compute or show that it does not exist. (a) 149-¹ (mod 200); (b) 95-¹ (mod 323).

A: Please see the below picture for detailed solution.

Q: Compute 2021^2021(mod 1000). The answer is 421. Show the work.

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

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Q: Find all solutions in {0, 1,2, ..., 12} to x26 + 15x13 = 12 mod 13.

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Q: Find the common solutions to the congruences 2x 3x 4x 1 (mod 5) 9 (mod 6) 1 (mod 7).

A: Given : 2x≡1 (mod 5)3x≡9 (mod 6)4x≡1 (mod 7) To find : The common solutions to the congruences. For…

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

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Q: Find 21234567 (mod 509822653

A: The objective is to evaluate 21234567mod 509822653. Obtain the prime factorization of 509822653. The…

Q: Find 8081 mod 11.

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Q: Suppose that a is an odd integer and (a, 91) = 1. Prove that a12 ≡ 1 (mod 1456).

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Q: What is the largest value that m mod n can be?

A: Largest value of m mod n is n-1.

Q: mpute (278443 – 602430 * 123456) mod 20. Explain your work. -

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Q: Compute (3714 - 39) mod 9 without a calculator.

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

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Q: Compute (2100 mod 3), (2100 mod 5), and (2100 mod 7). Explain how you got the answers.

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Q: If you randomly pick integers from 1 to 200, how many would you have to pick to ensure that at least…

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Q: Calculate the remainder of 52021 (mod 39).

A: We have to calculate the remainder of 52021mod 39. We can write 52021mod 39=52020·5mod 39. We have…

Q: Compute 386 mod 89.

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Q: (18)280 mod 125 =

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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: Find the inverse to 2 by using the Euclid's algorithm  2 mod

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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: Find the inverse of 13 modulo 47

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Q: Suppose that a and b are integers with a = 11(mod 19) and b = 3(mod 19). Find the integer c such…

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Q: Calculate 21212 (mod 9211), reducing it to a positive number less than 9211. Show your calculations.…

A: The objective of this question is to calculate the modulo of 21212 by 9211. The modulo operation,…

Q: Find the inverse of 47 mod 30 or 47 x = 1 (mod 30)

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Q: To Determine the value that 46 is congruent to IN modulo 7

A: Note that, If a and b are integers and n > 0, then a ≡ b (mod n) to mean n|(b − a) and It can be…

Q: Use Hensel Lifting (twice) to find a solution to x² = 7 (mod 374).

A: According to the given information, it is required to use Hensel lifting method to find the…

Q: (d) 357 862 193 = (mod 943). (e) 5327 6135 7139 2187 5219 . 1873 = (mod 8157). (Hint. After each…

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Q: Compute 21200 mod 27.

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Q: The least residue of 5500 mod(17) is Select one: O none O 7 O 13 O10 O 8

A: The least residue is, 13 The detailed solution is as follows below :

Q: Determine the remainder of 102020 modulo 2020 and the remainder of 102020 modulo 2021.

A: solution 104≡1920(mod2020)…

Q: Compute 9 x 10999,999,999,999,999,999 (mod 13).

A: To Compute: 9×10999,999,999,999,999,999 (mod 13)