Primitive root modulo
Prove that if p is a prime such that p = 1 mod 3, r is the primitive root modulo p, and a = r^(p-1)/3, then 1, a, a^2 give solutions to x^3= 1 mod p which are distinct modulo p.
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Compute the equation of the plane which haves the point (2, -2, 1) and is perpendicular to the line with the parametric equations x = t -1, y = 3t + 2, z = t+1. Determine the parametric equations for the line in R3 that contains the points (1, 1, -
In the certain year, the number of girls who graduated from the City High School was twice the number of boys. If 3/4 of the girls and 5/6 of boys went to college immediately after graduation, what fraction of graduates that year went to college i
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According to the study of 200 samples of ground meats, the probability that one of samples was contaminated by salmonella was .30. The probability that a salmonella-contaminated sample was contaminated by strain resistant to at least one antibioti
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Let A be the matrix of numbers. Describe that the minimum number of lines that cover A equals the maximum number of independent non-zero entries of A.
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