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Home » Why the Sega Mega Drive Remains the GOAT of Retro Consoles (Watch This!) - 500apps

Why the Sega Mega Drive Remains the GOAT of Retro Consoles (Watch This!) - 500apps

📅 March 15, 2026 👤 scraface

Mar 15, 2026

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🔥 Popular Posts

Check for $3 \cdot 9 = 9$: yes.
But what about $3 \cdot 5 = 15$? We saw $120$ in previous problem, but...
So far, guaranteed divisors: $3$. But is $3 \cdot 3 = 9$ always? No.
But consider modulo $9$: the multiple of 3 in the four may be $3 \mod...
Now consider **product modulo small numbers**. Try small cases:
$1 \cdot 3 \cdot 5 \cdot 7 = 105$
$3 \cdot 5 \cdot 7 \cdot 9 = 945$
$5 \cdot 7 \cdot 9 \cdot 11 = 3465$
$7 \cdot 9 \cdot 11 \cdot 13 = 9009$
$9 \cdot 11 \cdot 13 \cdot 15 = 19305$

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Check divisibility by 7: \(2023 \div 7 \approx 289.0\), and \(7 \times...
Now, factor 289:
\(\sqrt{289} = 17\), and \(17 \times 17 = 289\).
Thus, \(2023 = 7 \times 17^2\).
The divisors of 2023 are \(1, 7, 17, 49, 119, 289, 2023\). The largest...
We check: if \(d = 289\), then \(x + y = \frac{2023}{289} = 7\). We ne...
Thus, the largest possible value of \(\gcd(a, b)\) is \(\boxed{289}\).
A game-based learning researcher, exploring geometric puzzles, asks: H...
A lattice point \((x, y)\) satisfies both \(x, y \in \mathbb{Z}\) and...
Let \(d\) be a positive divisor of 100. Then \(x = d\) and \(y = \frac...

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