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Home » \div 8 = 13 \text exactly, so } 8104 \equiv 0 \pmod8 - Sterling Industries

\div 8 = 13 \text exactly, so } 8104 \equiv 0 \pmod8 - Sterling Industries

📅 April 16, 2026 👤 scraface

Apr 16, 2026

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📌 Check if 39 can be written as sum of distinct primes:

📌 is odd â must include the only even prime, 2, or use odd primes only.

📌 Try including 2: then we need sum of distinct odd primes â¡ 37 mod 2 â odd, OK.

📌 So check: 39 = 2 + 37? Yes, 2 and 37 are distinct primes.

📌 Is 37 â¤ 39 and prime? Yes.

📌 And 2 + 37 = 39, and distinct â valid.

📌 Check if 39 is the maximum possible. Can we get 39? Yes.

📌 Is 40 possible? No, upper bound is less than 40.

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