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 how to solve x^2=6 mod 143)

Q: Find all solutions to the system of congruences x ≡ 1 (mod 2), x ≡ 2 (mod 3), x ≡ 3 (mod 5), and x ≡…

A:

Q: solve 6メミ q modis

A:

Q: Show that 2^645 -1 is a pseudoprime. i know 2>1 and 645 is composite. But how to prove 645 divides…

A: A pseudoprime or probable prime is actually not a prime number or it is a composite number which…

Q: Solve for x: 7x = 3 mod 11

A:

Q: 4. Find all numbers between -50 and 50 which x mod 13 = 3

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 all integer solutions satisfying all the equations given. 5x =1 mod 39 3x =1 mod 25 4x =1 mod…

A: Concept :.   *   ax =6 mod n                           g (d (a,n) = d (let)…

Q: he linear congruence 132x ≡ 76 (mod 100) has a solution. Select one: True False

A:

Q: Starting with the integer 72021, we remove the leftmost digit and add it to the remaining integer.…

A: Observation 1: After each step, the difference of the numbers before and after is divisible by 9.…

Q: (i)Find the inverse of 5(mod9)     (  ii)Hence or otherwise solve simaltaneous equation…

A:

Q: How would I solve for n and m (without a calculator)? Please explain. 5" = 3( mod 97) 5m = 7( mod…

A: to find the value of m , n when 5n≡3 mod 975m≡7 mod 97 (i) we can write 5n≡3 mod 97 as   5n=97s+3…

Q: Find all integer solutions to the equation 23. + 6x2 + x + 6 =1 mod 74. Explain your method and cite…

A: en x3+6x2+x+6 = 1 mod 71

Q: 10. (8 points) Solve 3x 2, (mod 7) or show that no solution exists.

A: Solution: The objective is to find the solutions of 3x≡2 (mod 7)

Q: 4. 8x = 12 (mod 20).

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Solve 57x ≡ -3 (mod 50) for x

A:

Q: Determine all possible digits to place in the square that make the statement true. If none exists,…

A: Given that 40234156. We have to fill in the square for which whole number is divided by 9.…

Q: The equation 6** = 9 (mod 13) has 1 incongruent solution modulo 12 3 incongruent solutions modulo 12…

A: I am going to solve the given problem by using some simple algebra to get the required result.

Q: Using Euclid's Algorithm, what is a multiplicative inverse of 23 mod 75 and then solve 23x is…

A:

Q: Solve 2x-3x-65 0 mod 125

A: In the given question we have to find the solution of the congurent equation s.t…

Q: Solve for x : 5x ≡ 7 (mod 6).

A: Here remainder is 7 and modulus is 6 we can write it as  5x-7 =6n          Where  is an positive…

Q: Determine the number of primitive roots modulo 23.

A: Solution

Q: The equation 21x=49 (mod 70) has: 6 non-congruent solutions modulo 70 7 non-congruent solutions…

A:

Q: Please explain how to solve: (5 · 17) (mod 8)

A: To solve  (5*17) (mod8) we use the properties of modulo

Q: solve for x^2 = 1 mod 8 and x^2 = 1 mod 10

A: Solution...

Q: where _13-4 mod 13

A:

Q: what is 155 mod 18 ?

A: “a mod b” returns the remainder after dividing a by b.

Q: 8. How many positive divisors does 2000= (2^4)(5^3) have?

A: Note: Hey there! Thank you for the question. As you have posted multiple independent questions, we…

Q: solve 2x 1(mod13)

A: We are given that 2x≡1(mod 13) ⇒2x-1 is divisible by 13. Consider , 2x-1=13m , where m∈Z ⇒x=13m+12,…

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: The equation 21x=49 (mod 70) has: * O None of these O no solution modulo 70 6 non-congruent…

A:

Q: Solve 10x = 13 (mod 53)

A:

Q: Solve for x: 34⁵⁰≡3x (mod26 )

A: Let us consider the equation ax≡b (mod n) is a modulo equation  where x is the solution of the…

Q: Use your work from problem 2 and the method used in the example at the end of Lecture 16 to solve…

A:

Q: The equation 12x=24 (mod 48) has: * no solution modulo 48 24 non-congruent solutions modulo 48 None…

A: Given the equation 12x≡24(mod 48)

Q: Suppose that 3x ≡ 2 (mod 5). Find the remainder when x is divided by 5; in other words, compute x…

A: ANSWER :

Q: Give all non-negative solutions for 10r =-17 mod 4.

A:

Q: Solve 53x ≡ 31(mod85) in the form x ≡ b(modm), 0 < b < 85.

A: We will find out the required value.

Q: solve 63164 . x = 2 mod 365

A:

Q: Solve 529 = x (mod 11)

A: The given modulo equation is 529=xmod11. The modulo relation can be solved as: m≡kmod n if m-k is…

Q: Inverse of 19 modulo 141 is

A:

Q: Compute 59^11 mod 13 = You should know how to do this without a calculator by using the modulo…

A:

Q: 3x is congruent to 2 mod 13

A:

Q: Calculate 433940584939 mod 988027. Show how do obtain your claimed solution.

A:

Q: The equation 30x≡24 (mod 48) has: * 24 non-congruent solutions modulo 48 no solution modulo 48 None…

A: ax≡b (mod m) has solutions if and only if gcd(a,m) divides b. Moreover the number of non-congruent…

Q: Find 2025-3 (mod 212). (Enter the least non-negative integer.)

A: To Find: 2025-3(mod 212) and enter the least non-negative integer.

Q: Determine four values of x that will satisfy: x ≡ 4 mod 5 & x ≡ 3 mod 7 please show your solution

A:

Q: Solve 3x≡2, (mod 7) or show that no solution exists.

A: We have to solve given problem:

Q: What are the FOUR values of x that will satisfy: x=2 mod 4 & x=3 mod 6 please show your…

A: Given: x≡2 mod 4  &amp; x≡3 mod 6   x≡a(mod m1)x≡b(mod m2) has a solution if and only if…

Q: How would you find -88 mod 13?

A: