=38. It is known that 14 is a primitive root for the prime p14⁹000000 (mod p). (The exponent is 3(p − 1)/10.)b =1. Explain why 6¹0 = 1 (mod p).2. Explain why b ‡ 1 (mod p).30000001. Let

A primitive root mod p is a number a such that a has order p-1. This means p-1 is the least positive…

Answered: 38. It is known that 14 is a primitive…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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38. It is known that 14 is a primitive root for the prime p = 30000001. Let 14⁹000000 (mod p). (The exponent is 3(p − 1)/10.) b = 1. Explain why 6¹0 = 1 (mod p). 10 2. Explain why b ¥ 1 (mod p).