My Python Solution
\nclass Solution:\n    ret = [1, 1, 2, 4, 12, 36, 144, 576, 2880, 17280, 86400, 604800, 3628800, 29030400, 261273600, 612735986, 289151874, 180670593, 445364737
```\nclass Solution:\n    ret = [1, 1, 2, 4, 12, 36, 144, 576, 2880, 17280, 86400, 604800, 3628800, 29030400, 261273600, 612735986, 289151874, 180670593, 445364737, 344376809, 476898489, 676578804, 89209194, 338137903, 410206413, 973508979, 523161503, 940068494, 400684877, 13697484, 150672324, 164118783, 610613205, 44103617, 58486801, 462170018, 546040181, 197044608, 320204381, 965722612, 554393872, 77422176, 83910457, 517313696, 36724464, 175182841, 627742601, 715505693, 327193394, 451768713, 263673556, 755921509, 94744060, 600274259, 410695940, 427837488, 541336889, 736149184, 514536044, 125049738, 250895270, 39391803, 772631128, 541031643, 428487046, 567378068, 780183222, 228977612, 448880523, 892906519, 858130261, 622773264, 78238453, 146637981, 918450925, 514800525, 828829204, 243264299, 351814543, 405243354, 909357725, 561463122, 913651722, 732754657, 430788419, 139670208, 938893256, 28061213, 673469112, 448961084, 80392418, 466684389, 201222617, 85583092, 76399490, 500763245, 519081041, 892915734, 75763854, 682289015]\n    def numPrimeArrangements(self, n: int) -> int:\n        return Solution.ret[n-1]\n```
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