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what is the 67 joke - GetMeFoodie

📅 April 30, 2026 👤 scraface

Apr 30, 2026

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📌 Now compute $3025 \mod 9$. Use the digit sum method:

📌 Digit sum of $3025$: $3 + 0 + 2 + 5 = 10$, then $1 + 0 = 1$, so $3025 \equiv 1 \pmod{9}$.

📌 Alternatively, divide: $3025 \div 9 = 336 imes 9 = 3024$, remainder $1$.

📌 Thus, the remainder is $1$.

📌 Therefore, the answer is $oxed{1}$.

📌 Question: What is the greatest common divisor of $3^{15} - 1$ and $3^9 - 1$?

📌 Solution: Use the property:

📌 \gcd(a^m - 1, a^n - 1) = a^{\gcd(m,n)} - 1, \quad ext{for } a > 1.

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