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Home » Your Monitor Must Be Broken—See the Mysterious White Line Slashing Through Black Screens! - inBeat

Your Monitor Must Be Broken—See the Mysterious White Line Slashing Through Black Screens! - inBeat

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 n_k = 3 + 7(k-1) = 7k - 4

📌 We require \( n_k \leq 50 \):

📌 7k - 4 \leq 50

📌 7k \leq 54

📌 k \leq \frac{54}{7} \approx 7.71

📌 Thus, \( k \) can be any integer from 1 to 7. Therefore, there are 7 integers in the first 50 that are congruent to 3 modulo 7. The answer is \(\boxed{7}\).

📌 Question:** A pharmacologist developing new drugs notes that effective doses often follow a pattern related to prime numbers and divisibility, reflecting nature’s own balance. What is the sum of all the odd divisors of 180?

📌 First, factorize 180:

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