Find all primes p for which −5 is a quadratic residue.

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Colby Messinger answered 1 year ago

Q1.a) Assume known that 857 and 503 are primes. Determine whether 503 is a quadratic residue...

Q1.a) Assume known that 857 and 503 are primes. Determine whether 503 is a quadratic residue modulo 857 or not. b) Slove the second-degree congruence equation 2x2+ 3x-11congruent (mod 31) c) calculate the remainder when 73333+ 2516178 is divided by 11

find all primes p such that 6 is a square mod p? please with clear hand...

find all primes p such that 6 is a square mod p? please with clear hand writing

Find a characterization of primes p such that 3 is a square mod p and then...

Find a characterization of primes p such that 3 is a square mod p and then prove it.

(a). Prove the law of quadratic reciprocity for odd primes. Include all definitions and results used...

(a). Prove the law of quadratic reciprocity for odd primes. Include all definitions and results used throughout the proof. (b). Explain why it is enough to prove the reciprocity law for 2 and the quadratic reciprocity law for odd primes to answer the general question: Is m a square mod n for any positive integers m, n? (c). Describe the role of permutations in the proof of quadratic reciprocity.

IN PYTHON Use the sieve of Eratosthenes to find all primes less than 10,000.

If P(Ā)= 5/24, find P(A)

5 spades, 5 clubes, and 5 hearts 1. find P(Tk+l)in terms of P(Tk) 2. find P(T3)...

5 spades, 5 clubes, and 5 hearts 1. find P(Tk+l)in terms of P(Tk) 2. find P(T3) 3. find the prob the cards are together by characters after many cuts

If p,p+2 are twin primes, prove 4((p−1)!+1)+p≡0 modp(p+2)

Suppose P(A)=.5, P(B)=.4 and P(A and B)=.2 a. Find P(A or B). b. Find P (A...

Suppose P(A)=.5, P(B)=.4 and P(A and B)=.2 a. Find P(A or B). b. Find P (A and Bc) B complement c. Find P(A or Bc). d. Find P(Ac or Bc)

P(x) = x6 − 7x3 − 8 (a) Find all zeros of P, real and complex....

P(x) = x6 − 7x3 − 8 (a) Find all zeros of P, real and complex. (b) Factor P completely.

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