Find a primitive root modulo 2401 = 7^4. Be sure to mention which exponentiations you checked...

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Find a primitive root modulo 2401 = 7^4. Be sure to mentionwhich exponentiations you checked to prove that your ?nal answer isindeed a primitive root. (You may use Wolfram Alpha forexponentiations modulo 2401, but you may not use any of WolframAlpha’s more powerful functions.)

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Note thatNow and is thesmallest positive integer such that So is a primitive root modulo My claim is that is a primitive rootmodulo For that we will need the following strong lemmaLemma Proof of lemma is by induction on Base caseThen So base case is trueInductionhypothesis Assume See Answer

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Find a primitive root modulo 2401 = 7^4. Be sure to mention which exponentiations you checked...

70.2K

Verified Solution

Question

Advance Math

Find a primitive root modulo 2401 = 7^4. Be sure to mentionwhich exponentiations you checked to prove that your ?nal answer isindeed a primitive root. (You may use Wolfram Alpha forexponentiations modulo 2401, but you may not use any of WolframAlpha’s more powerful functions.)

Answer & Explanation Solved by verified expert

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