Find the result of 456168 mod 169 using Euler's Theorem? show your calculation for credit O 1 O 12 O 93 O 53 O 14 O None of the given choices

Q: .Use Fermat's Little Theorem to find 153603mod 19.

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Q: Using Fermat's little theorem, determine the remainder of Ć 734171 modulo 13

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Q: 1. Find the least non negative integer x, if possible, such that (if it is not solvable, enter…

A: The expression  defines,.

Q: 8. Use Fermat's little theorem to compute : 51995 mod 13 .

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Q: TRUE or FALSE: 1. If a is congruent to b (mod m), then a^k is congruent to bk (mod m) for every…

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Q: .Which of the following integers are the possible one’s digits of a fourth power of any integer? a.…

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: which of the below integers is congruent to 5 modulo 10. O 15 O 20 O none l hu the hashing

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Q: Compute 21200 mod 27.

A: To Find: 21200mod 27

Q: 7. Calculate each of the following. [from #22, 4.5] b) 971321 (mod 765) a) 2557341 (mod 5681)

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

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Q: 1. Which pairs of integers have a GCD of 16 and LCM of 576? a. 32 and 288 b. 48 and 192 c. 80 and 96…

A: 1)  We need to find which pairs of integers have a GCD of 16 and LCM of 576. We know that , the…

Q: Solve the congruence 11x = 45 (mod 97) where x is an integer in the interval [0,97).

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Q: Prove the following equations by induction. In each case, n is a positive integer. a. 1+4+7++ (3n-2)…

A: We are to prove   for all positive integers.

Q: 1. Prove that 35121 (mod 1024).

A:

Q: 1. Let D = the sales of DVDs in billions of dollars, S = the total sales of streaming videos in…

A: The sales of dvds given as the function D = -0.92t + 8.75 and the total sales of streaming videos…

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

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

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

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Q: Find all x Є Z solutions to 155x = 75 mod 65, if any exist.

A: To solve the congruence  155x≡75(mod65) , we start by simplifying the problem. First, reduce  155…

Q: The prime number 8191 is a None Mersenne primте тmber Carmichael umber Inverse of 7 modulo 11

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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: Give an algebraic proof (using known identities) of the identity m and n are nonnegative integers.…

A: We prove this by induction on n. Let P(n) : ∑k=0nm+kk=m+n+1n Let n=0 ,…

Q: The prime number 8191 is a None Mersenne prime number Carmichael number Inverse of 7 modulo 11

A: Given that The prime number 8191 is

Q: Find the value of 14147 (mod 1537) 656 657 None of them 659 658

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Q: Prove or disprove the following proposition: Let the Jacobi symbol: () 1. %3D Then a is quadratic…

A: a is said to be a quadratic residue modulo n if x2=a(mod n) is solvable for some x.  Otherwise, it…

Q: Need Answer ASAP Using Fermat's Little Theorem to Calculate Each (Show Your Work) 1. 99 ^ 101 mod…

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Q: Solve the following congruences, and check your answers: (a) a27 = 3 (mod 110) (b) a" = 4 (mod 675)

A: Consider the congruences as given by: a) x27≡3 (mod 110)b) x77≡4 (mod 675)

Q: Find d

A: The given question involves the concept of modular arithmetic and the use of the modular inverse.…

Q: 7. Solve the following congruences, and check your answers: (a) x27 = 3 (mod 110) (b) x7" = 4 (mod…

A: We Know that  Definition of Congruence: If a and b are integers and m is a positive integer, then a…

Q: 25. The value of x in (7x is congruent to 12 mod 17) is O 16 15 9 13 (mod 17)

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Q: The inverse of 5 mod 10 а. 5 b. 2 Ос. 10 O d. The inverse does not exist

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Q: n for which the following identity is valid (p is an unknown real number). pa m pb

A: Here we compare powers for solution.

Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum…

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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: Find 53745 mod 64719 N 53 2809 39744 Clear my choice

A: To find 5339745mod 64719. Let us use Chinese remainder theorem to evaluate this.  Now,…

Q: Use Fermat's theorem to Reduce 50250 (mod 83) to a number in the range {0,1

A: Here we will find out the required value.

Q: 24. Given the linear congruence (16x is congruent to 72 mod 24.) How many possible incongruent…

A: 24. To find the number of incongruent solutions of16x≡72mod 24

Q: 8. Show that 18!= -1 (mod 437). 9. Using Euler's Theorem, find the last two digits of 44443333 10.…

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.