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Friedman n.  and  Honaker prime

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First numbers that belong to both sets:

58921, 64513, 78163, 122503, 125029, 143357, 156127, 156253, 250037, 265231, 273521, 458701, 466553, 472391, 531197, 531383, 723169, 902507, 902563.