Where would 129 be on a mod 13 clock (which goes from 0 to 12)? What is the remainder when 129 is divided by 13?

Q: find x, where x= 9753 (mod 120) and -120<x<0

A: Ans: -87

Q: Suppose b is any integer. If b mod 12 = 5, what is 6b mod 12? In other words, if division of b by 12…

A: Given b is an integer such that b mod12=5 To find the value of  6b mod12

Q: ct enumeration, find the period of the following congruential generator: Xi+1=11Xi mod 32, given…

A: Given, the congruential generator is :Xi+1 = 11Xi mod 32, Also, given X0 = 1 We see that the…

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: Use Eulers thm to find , 7଼8003 mod 1000

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Q: As a small illustration of Chinese remainder theorem that can all be solved mentally, say M = 30.…

A: The Chinese Remainder Theorem:                               Let m1,m2,.......mk be a collection of…

Q: Solve the congruency by finding the inverse: 7x = 9(mod 43)

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Q: Verify 2 is a primitive root mod 13, and then answer the following: Find a solution to x5 = 11 mod…

A: If p is prime, then b is a primitive root for p if the powers of b include all of the residue…

Q: For this question, explain the reason if no solution exists. Give a complete list of solutions if…

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Q: For which odd primes p is 5 a square modulo p?

A: As we know that  a is Quadratic residue mod p if and only if   a(p-1) /2 =1 mod p . If p and q are…

Q: # 14 please ASAP

A: We need to evaluate 77 (mod 4).By the Fermat’s Little Theorem,

Q: Find all solutions to x^2=6 mod 143, note that 143=11*13 (I solved x^2=133 mod 143, but i'm not sure…

A: It is required to find all the solutions of x2=6mod143 Given that 143=11×13 Where 11 and 13 are…

Q: 10. Find the value of 5368 (mod 41) Answer: Show your work here:

A: To find the value of- 5368(mod41)

Q: 2. Find x such that 43177 = x (mod 39), 0≤x≤39. You must show all the detailed steps.

A: see my solutions

Q: 2) Find 281171 + 171281 (mod 12)

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Q: 5. Use the method of successive squaring to compute 3875 (mod 103) 1

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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: how do i use Euler's thm to find the value? 3242 mod 385

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Q: 14. The expression "a mod b" is used to mean "the remainder obtained when a is divided by b". Which…

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Q: If you multiply n whole numbers (even or odd) when is the answer odd? Translate into multiplication…

A: If we multiply whole numbers, the pattern is as follows: Even × Even=Even Even × Odd=Even Odd ×…

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: (3) If today is Thursday what day of the week will it be 31 days from today? (4) If it is currently…

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Q: Find the integer a such that a ≡ 71( mod 47) and -46  ≤ a ≤ 0 I'm not sure how to solve this. But I…

A: Let's find.

Q: 22. Suppose c is an integer. If c mod 15 = 3, what is 10c mod 15? In other words, if division of c…

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Q: If a = 17 (mod 3), then what is the remainder of a when divided by 3? Enter the numerical value.

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Q: 3. Find an inverse, if exists, of 12 mod 15.

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Q: One of the following is a solution of 306x = 90 (mod 360) 107 has no solution 105 106 108

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Q: Solve for x using The Division Algorithim : 937 =x (mod 4)

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Q: 3. First solve for q: (a) 143 = 1( mod 2) (b) Rewrite 143 as the product of 11 x 13 and show that…

A: Consider the given information: a=q m+ r Where a= dividend , q=quotient, m=mod , and r=remainder. To…

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: Suppose c is an integer. If c mod 15 = 3, what is 10c mod 15? In other words, if the division of c…

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Q: 1. Solve the congruence 17x ≡ 42 (mod 100). 2.Compute the remainder of 3293 when divided by 97…

A: 1) solve the congruence 17x=42+100k implies17≡42+100k as we know gcd17,100=1 and 1/42 now, using…

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

A:

Q: Solve x2+3x+2 is congruent to 0 (mod 55)

A: 55=5×11 and gcd(5,11)=1, hence they are co-prime.The given system of equation x2+3x+2≡0mod 55 is…

Q: State as TRUE or FALSE. d) 143 = -40 (mod 5) e) –4 = 788 (mod 3)

A: a≡b(mod n) means a-b is divisible by n

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

A:

Q: 2. Find all solutions, or show there are none, to the congruence X78 = 5 (mod 19)

A: By Fermat little theorem x18≡1mod19. Therefore, x4×18+6≡x6mod19 or x78≡x6mod19.

Q: Using Fermat's theorem, find 3201 mod 11.

A: Euler's Theorem states that for any natural  number n, we  have  aϕ(n)≡1(mod n) where ϕ(n) denotes…

Q: Find the integer a such that a ≡ 71( mod 47) and -46  ≤ a ≤ 0  I need a better understanding of how…

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Q: b. 3x = 0 (mod 21)

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Q: The equation 82x = 12 (mod 13) has O 1 incongruent solution modulo 12 O 4 incongruent solutions…

A: The given equation is 82x = 12(mod 13)

Q: ere they want me to find a div m and a mod m when a = −33, m = 67. How I solved, I divided -33 into…

A: To find a div m and a mod m when a = −33, m = 67. Given information:  a = -33 m = 67

Q: Suppose a # b (mod m). Let r be the remainder of a when divided by , and let s be the remainder of…

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Q: a) Find a, b if a + 2b = 116 mod 9 and 2a + b = -62 mod 7. b) Write the prime factorization of…

A: Note: We are allowed to solve one question/ three subparts at a time so kindly upload remaining…

Q: 1)For each of the following, find an integer value x which satisfies the equation, or explain why…

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Q: 8) 91 is a pseudoprime to the base

A: 8) 91 is a base pseudoprime to the base .....

Q: How would you find -88 mod 13?

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Q: Let k be an integer such that k = -1 (mod 5). What is the remainder when 50k10 + 26k³ – 17 is…

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