(of I assume) 1 is not a quadratic residue If p 4k3 for some positive integer...

Question

Question

1 is not a quadratic residue If p 4k3 for some positive integer k, then (of $\mathbb{Z}_p$ I assume)

1 is not a quadratic residue If p 4k3 for some positive integer k, then

Answer 1

Answer #1

Clet かと 9pom) whert b33dy then anol tasking paver both Naw lt b> pides p-1 E ED fer matis By // p-I=YK (3 modiy bo Latradhon

Answer 2

Similar Homework Help Questions

Let n, and let n be a reduced residue. Let r = odd(). Prove that if...

Let n, and let n be a reduced residue. Let r = odd(). Prove that if r = st for positive integers s and t, then old(t) = s. We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
Assume that a procedure yields a binomial distribution with a trial repeated n=5n=5 times. Use some...

Assume that a procedure yields a binomial distribution with a trial repeated n=5n=5 times. Use some form of technology to find the cumulative probability distribution given the probability p=0.155p=0.155 of success on a single trial. (Report answers accurate to 4 decimal places.) k P(X < k) 0 1 2 3 4 5 We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to...
Find f: [0, 1] + R given by ſi if r = for any positive integer...

Find f: [0, 1] + R given by ſi if r = for any positive integer n, JE) 10 otherwise, We were unable to transcribe this image

Let n be a positive integer with n > 20 , and let with 1. Show...

Let n be a positive integer with n > 20 , and let with 1. Show that S possess two disjoint subsets, the sum of whose elements are equal. S 1,2,., 1n2) We were unable to transcribe this image
Prove that for every positive real (important: is not necessarily an integer), that . Hint: For...

Prove that for every positive real (important: is not necessarily an integer), that . Hint: For every , the function is strictly growing. We were unable to transcribe this imageWe were unable to transcribe this imagebe(n") (n log, n) > 0 n
Need some help with SERIES SOLUTION - 2nd ORDER EQUATION For the differential equation, (1) a. Calculate the indicial equation for the power series solution (Answer in a quadratic polynomial...

Need some help with SERIES SOLUTION - 2nd ORDER EQUATION For the differential equation, (1) a. Calculate the indicial equation for the power series solution (Answer in a quadratic polynomial in terms of c.) b. Calculate the solutions of the indicial equation found above. c. Calculate the point from the above equation (1) as i. ORDINARY POINT ii. REGULAR SINGULAR POINT iii. IRREGULAR SINGULAR POINT We were unable to transcribe this imagey-Σ@m(z _ 4)nte We were unable to transcribe this...

Let ( and be sequences (of real numbers.) Assume that (for some ) and for all...

Let ( and be sequences (of real numbers.) Assume that (for some ) and for all . Prove that . (anhel (bn)n-1 Cn We were unable to transcribe this imageLER am - 2 n EN We were unable to transcribe this image
consider the variation of constants formula where P(t)= a) show that solves the initial value problem x'+p(t)=(t) x()= when p and q are continuous functions of t on an interval I and tg p(s)d...

consider the variation of constants formula where P(t)= a) show that solves the initial value problem x'+p(t)=(t) x()= when p and q are continuous functions of t on an interval I and tg p(s)ds We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image tg p(s)ds
Use the Eisenstein Criterion to prove that if is a squarefree integer, then is irreducible in...

Use the Eisenstein Criterion to prove that if is a squarefree integer, then is irreducible in for every . Conclude that there are irreducible polynomials in of every degree We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image

Show that Brewster's Law (where the incident angle i = p ) and Snell's Law together...

Show that Brewster's Law (where the incident angle i = p ) and Snell's Law together imply that p +2 = 90 degrees. We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image