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皮爾龐特質數

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皮爾龐特質數是指具有以下形式的質數

其中m,n為正整數或0。

換句話說,質數p是皮爾龐特質數若且唯若p−1是3-光滑數

頭幾個皮爾龐特質數為:

2, 3, 5, 7, 13, 17, 19, 37, 73, 97, 109, 163, 193, 257, 433, 487, 577, 769, 1153, 1297, 1459, 2593, 2917, 3457, 3889, 10369, 12289, 17497, 18433, 39367, 52489, 65537, 139969, 147457, 209953, 331777, 472393, 629857, 746497, 786433, 839809, 995329, ... (OEIS數列A005109
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