Please find a constant M such that ,for any prime p,computing 1/a mod p(for any a exists {1,.....p-1}) takes at most M(1+logp)^3 digit by digit  operations.Please assume for this problem that we are working in base -10.

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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A: see my solutions

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Q: (a) Prove that for all n 2 0, Eo fi = fn+2-1 where fi-1 is the th Fibonacci number.

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Q: 1. Use Euler's Theorem to prove a 265 = a (mod 105) for all a E Z.

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Q: Use the {\bf Cayley Hamilton Theorem} to come up with an expression for A" in terms of n when 1 A =

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Q: . Let b, k and m be positive integers that satisfy gcd(b, m) = 1 and gcd(k, ø(m)) = 1, %3D where…

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