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Home » You Wont Believe What Causes That Frightening Monitor Shadow Problem! - RTA

You Wont Believe What Causes That Frightening Monitor Shadow Problem! - RTA

📅 May 12, 2026 👤 scraface

May 12, 2026

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📌 Now compute the least common multiple of $ 2 $ and $ 9 $:

📌 Now compute the least common multiple of $ 8 $ and $ 15 $:

📌 Now find the remainder when $ 6084 $ is divided by $ 120 $:

📌 Question: A green infrastructure project involves planting trees in a grid pattern across $ 1001 $ city blocks. If each block receives a number of trees equal to the number of positive divisors of its index (from $ 1 $ to $ 1001 $), what is the total number of trees planted modulo $ 10 $?

📌 Where $ d(n) $ is the number of positive divisors of $ n $. While computing the full sum is tedious, we can observe a known result:

📌 Solution: Let the four consecutive odd integers be $ n, n+2, n+4, n+6 $, where $ n $ is odd. Since they are consecutive odd numbers, they are all relatively prime in pairs. We analyze the divisibility properties:

📌 Among any four consecutive odd integers, at least one is divisible by $ 3 $, and at least one is divisible by $ 5 $.

📌 Since they are odd, none is divisible by $ 2 $, so we only consider odd prime factors.

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