List six intergers that are congruent to 7 modulo 9.

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

A:

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: 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: Which numbers from the set{-63,-54, -41, 11, 13, 76, 80, 130, 132, 137} are congruent to 7 mod 13?…

A:

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: Find the least residue of 63^9 modulo 10

A:

Q: from 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 form a set containing the first four fibonacci numbers (x) that…

A: given the set

Q: Four boxes labelled with numbers are used to keep items that are also labelled with numbers. Each…

A: The given item numbers are 28,13,23,7. Since, we have four boxes, Hence, the modulo divisor will be…

Q: Any two integers are congruent modulo .when they are both even or both odd. Least common multiple…

A: Answer : smallest prime n=2

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

A:

Q: from 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 form a set containing first five prime numbers (x) greater than 50…

A:

Q: Statement 1 : 2465 is not a carmichael number Statement 2: 95 = 55 (mod 2) Statement 1 : True…

A:

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

A:

Q: Determine the number of six-character passwords that can be formed using two letters from A to F and…

A: From A to F there are 6 letters. We can pick 2 letters from 6 letters in 6C2=15 waysIn 1 to 9 there…

Q: modulo 5   B).  Evaluate 31mod5

A:

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

A: Justify how many integers have inverse modulo 144.

Q: What prime numbers are squares in mod 17? (Include primes that are larger than 17). What primes p…

A: Since the squares less than 17 are 1, 4, 9, 16 then the prime numbers that are squares in mod 17 are…

Q: Which numbers from the set{-63, -54, -41, 11, 13, 76, 80, 130, 132, 137} are congruent to 7 mod 13?…

A:

Q: Find  mod (40, 7) and div (40, 7).   mod(40, 7)=? div(40, 7)=?

A: 1) mod(40,7)  is the remainder when 40 is divided by 7we know that 7×5 =35  and 7×6=42as 7×6=42 is…

Q: Is it true that 90 ≡ 64 (mod 13)?

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

Q: 1. Please use congruence (c is congruent to (p+3)mod26) to encrypt "May God bless you more!"

A:

Q: Determine what number the product is congruent to in mod 3. 5.8 5.8 = (mod 3 )

A:

Q: Evaluate: mod 13= -19 div 7

A: To find: 98 mod 13

Q: Determine how many ti (o bom is a prime.

A: In this question, the number of times is determined when 1 appears in the multiplication table for…

Q: determine what number the sum is congruent to in mod 3, 6+4 = __ (mod 3)

A: First we add the numbers, then check for the remainder on dividing the result by 3 and that will be…

Q: Find oll integers Such thot 24! x =1 Cmod 2) 5x = 3. (mod 8) and 1500 < X <2000

A:

Q: Find  mod (59, 10) and div (59, 10).

A:

Q: (a) Use cases based on congruence modulo 3 and properties of congruence to prove that for each…

A:

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

A:

Q: D. List five different natural numbers that are congruent to 8 modulo 6. E. List five different…

A:

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: 11. Define conguren ce class es for modulo 4.

A:

Q: Calculate the least residues modulo 5 of 14, 24, 34, and 44.

A:

Q: Any two integers are congruent modulo to: even integer odd integer Prime integer not a prime nor…

A: suppose n is a positive integer. Then two integers are said to be congruent modulo n if (a-b) is…

Q: What is 62019 =   mod 5

A:

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}

A:

Q: . How many different values are there for 4" (mod 7), as n ranges over all positive integers?

A: Note - As per our guidelines we have to answer first question if multiple questions are posted. So…

Q: 29 is a primitive root modulo 38? True or False

A: The answer to this question is TRUE.

Q: Number theory

A:

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}

A:

Q: Show that : If n is an integer then n is congruent to 0 modulo 4 or 1 modulo 4.

A:

Q: Determine whether 17 is congruent to 5 modulo 6?

A: We have to check whether 17 is congruent to 5 modulo 6

Q: Two integers are congruent modulo to a)prime integer b)odd integer C) not a prime nor composite…

A:

Q: Number theory

A:

Q: Find the order of 5 modulo 31.

A:

Q: Give an example of a pair of numbers that can be used to generate modulo residues to represent the…

A:

Q: Any two integers are congruent modulo when they are both evenor both odd. Smallest prime greatest…

A: Any two integers are congruent modulo .. when they are both even or both odd.

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.