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What is the least significant decimal digit of 171717 (Hint: For distinct primes p, q

Chapter 1, Problem 1.26

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QUESTION:

What is the least significant decimal digit of 171717 ? (Hint: For distinct primes p, q, and any a 6 0(mod pq), we proved the formula a(p1)(q1) 1 (mod pq) in Section 1.4.2.)

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QUESTION:

What is the least significant decimal digit of 171717 ? (Hint: For distinct primes p, q, and any a 6 0(mod pq), we proved the formula a(p1)(q1) 1 (mod pq) in Section 1.4.2.)

ANSWER:

Step 1 of 3

We will use modular arithmetic, under the assumption. One can also produce an almost equally short argument that doesn’t use those tools

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