What is the multiplicative inverse of 21 in mod 23?

Q: The multiplicative inverse of 19 (mod 141) * O is 51(mod 141) None of these O is 19(mod 141) is…

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Q: Find the answer of -16 mod 5

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Q: Evaluate: 3135 mod 59. (Note that 3519 = 1000112) %3D

A: General form is given by: memod n Here, e=35, m=31 and n=59 Step1) Write the binary form of e 1 0 0…

Q: x^2 ≡ 1 (mod 105)

A: Given: x2≡1(mod 105) To Solve: The given congruence  x2≡1(mod 105)

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

A: Find an inverse of 12 modulo 17 as follows.

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: Find the value of 3443 mod 23 4 16 O 3

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Q: If x^677 ≡ 3 mod 2020, find x.

A: We have   x677≡3mod2020⇒x677-3=2020m   where m is integer different values of m we get different…

Q: Find the inverse of 31 modulo 73

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Q: How to find 85307 (mod 739)?

A: To make it simple , divide power by 4 then solve .

Q: Find all values of x (using congruent notation) for 35x ≅ 3 (mod 89)

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

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Q: In mod n arithmetic why does x have a multiplicative inverse if and only if x is relatively prime to…

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Q: What is the value of o(5400 mod 13)

A: From Fermat's Theorem we know that if p is a prime number and p/a, a∈Z  then ap-1≡1(mod p) Since,…

Q: Find 1112 mod 13.

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Q: Find the inverse of 356 (mod 678119).

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Q: Let a, n be positive integers. Knowing that 15a - 13n = 1, we deduce that the multiplicative inverse…

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Q: Make a table multiplication mod 6

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Q: perform the indicated operations: 8+11(mod 12)

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

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

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Q: Consider the congruence 9x   21 (mod 33). (a) Does 9 -1(mod 33) exist? Explain why or why not.

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Q: What is 2 ^32 mod (5)?

A: mod is the function whose output is always positive. mod is represented by .

Q: 122 is congruent to 5 modulo17 ?

A: To check whether -122 is congruent to 5 modulo 17 or not

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: Number theory

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

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Q: Show that 18! ≡ -1 (mod 437).

A: We have to show that: 18!≡-1mod437

Q: Is 103= 58 mod 5 true or false?

A: Note: a mod b is the remainder from the division of a by b. Given: 103 = 58 mod 5.

Q: In the set {0,1,2,3,4,5}, this is the additive inverse of 4 under addition modulo 6. What is the…

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Q: Number theory

A: According to the given information, it is required to find multiplicative inverse of 4 modulo…

Q: Find the multiplicative inverse of 8 mod 11

A: SOLUTION-

Q: Solve the congruence x² = 9 (mod 600).

A: Given congruence is x2≡9 mod 600

Q: Number theory

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Q: use the Euclid's algorthim to find the inverse for 76 mod 83

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Q: . Find the value of 876,543,218,765,432,187,654,321 (mod 11) 10

A: To find the value of 876,543,218,765,432,187,654,321(mod11)

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

A: We have to solve given problem:

Q: The multiplicative inverse of 103 (mod 120) * O is 7(mod 120) O None of these is 50(mod 120) is…

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Q: False In mod 7 arithmetic,

A: Introduction: Modular arithmetic is an integer-based arithmetic method that takes the remainder into…

Q: what is 155 mod 18 ?

A: 155 mod 18 ?

Q: If a = 3 (mod12) then a does not equal 1 (mod6)

A: a=b mod n if and only if n divides a-b Now, we have that a=3mod 12 We need to show that a≠1mod 6 Let…

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

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Q: Use Euler's theorem to evaluate: 9 (mod 14) for a =1446.

A: Euler's theorem:- If gcd a,n=1 then aϕn≡1mod n. here ϕn is Euler's function. The number of integer…

Q: Is 27 = 31 mod 5 true or false?

A: False

Q: Find a multiplicative inverse of  21 modulo 46

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Q: Solve the congruence 2² +1 =0 mod 133.

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Q: Show that if x mod 8 = 1, then (3x −5) mod 6 = 4.

A: Solution

Q: According

A: We know that,  If a, p are integers and p is any prime such that gcd(a,p)=1 then ap-1=1 mod p.

Q: Number theory

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