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Home » $S_1 = 1$ (string: 3) - RoadRUNNER Motorcycle Touring & Travel Magazine

$S_1 = 1$ (string: 3) - RoadRUNNER Motorcycle Touring & Travel Magazine

📅 April 30, 2026 👤 scraface

Apr 30, 2026

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📌 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:

📌 Question: A pharmacologist computes the stability of a compound using the sum $ 2023 + 2025 + 2027 + 2029 $. What is the remainder when this sum is divided by 16?

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