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Home » 102% More Shocking Facts About 3rd Place – You Won’t Believe #1rd Secrets! - Treasure Valley Movers

102% More Shocking Facts About 3rd Place – You Won’t Believe #1rd Secrets! - Treasure Valley Movers

📅 April 19, 2026 👤 scraface

Apr 19, 2026

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📌 We now look for coprime positive integers $ x $ and $ y $ such that $ x + y = 3 $. The pairs are $ (1,2) $ and $ (2,1) $, both of which are coprime. So $ d = 675 $ is achievable.

📌 Question: A science fiction writer is designing a virtual world where citizens log in using numbers that are perfect cubes ending in 888. What is the smallest positive integer whose cube ends in 888?

📌 So $ m = 5t + 2 $, then $ n = 25(5t + 2) + 17 = 125t + 50 + 17 = 125t + 67 $

📌 To maximize $ d $, minimize $ a + b $, where $ a, b $ are positive coprime integers.

📌 Can $ a + b $ be smaller? No, minimum is 2.

📌 Question: A science fiction novelist imagines a virtual reality where user IDs are two-digit numbers that are one more than a multiple of the prime number 17. What is the largest such two-digit ID?

📌 Solution: We seek the largest two-digit integer $ n $ such that:

📌 Thus, the largest two-digit number one more than a multiple of 17 is:

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