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Determine the smallest prime $p$ such that $2018!$ is divisible by $p^3$, but not divisible by $p^4$. | 509 | train | 8 | 3,328 | 2,048 | <｜begin▁of▁sentence｜><｜User｜>Determine the smallest prime $p$ such that $2018!$ is divisible by $p^3$, but not divisible by $p^4$.
Please reason step by step, and put your final answer within \boxed{}.<｜Assistant｜><think>
Alright, so I have this problem here: I need to determine the smallest prime \( p \) such that \(... | [
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Determine the smallest prime $p$ such that $2018!$ is divisible by $p^3$, but not divisible by $p^4$. | 509 | train | 8 | 3,584 | 2,048 | <｜begin▁of▁sentence｜><｜User｜>Determine the smallest prime $p$ such that $2018!$ is divisible by $p^3$, but not divisible by $p^4$.
Please reason step by step, and put your final answer within \boxed{}.<｜Assistant｜><think>
Okay, so I have this problem: Determine the smallest prime \( p \) such that \( 2018! \) is divis... | [
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"Burrito Bear has a white unit square. She inscribes a circle inside the square and paints it black.(...TRUNCATED) | 1 | train | 14 | 2,048 | 2,048 | "<｜begin▁of▁sentence｜><｜User｜>Burrito Bear has a white unit square. She inscribes a circ(...TRUNCATED) | [151646,151644,61239,28041,23985,702,264,4158,4982,9334,13,2932,1640,55136,264,12671,4766,279,9334,3(...TRUNCATED) | ["The total black area is the sum of an infinite geometric series where each term alternates between(...TRUNCATED) | [[785,2790,3691,3082,374,279,2629,315,458,23809,52484,4013,1380,1817,4647,6919,973,1948,7842,264,126(...TRUNCATED) | [
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"Burrito Bear has a white unit square. She inscribes a circle inside the square and paints it black.(...TRUNCATED) | 1 | train | 14 | 2,304 | 2,048 | "<｜begin▁of▁sentence｜><｜User｜>Burrito Bear has a white unit square. She inscribes a circ(...TRUNCATED) | [151646,151644,61239,28041,23985,702,264,4158,4982,9334,13,2932,1640,55136,264,12671,4766,279,9334,3(...TRUNCATED) | ["The total black area is calculated as the sum of an infinite geometric series, resulting in the ex(...TRUNCATED) | [[785,2790,3691,3082,374,16588,438,279,2629,315,458,23809,52484,4013,11,12942,304,279,7493,1124,1152(...TRUNCATED) | [
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