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Cunningham n.  and  good prime

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First numbers that belong to both sets:

5, 17, 37, 101, 127, 257, 14401, 65537, 217157, 462401, 3763601, 5107601, 5410277, 10916417, 23001617, 46594277, 81000001, 89038097, 110586257, 139240001.