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hoax n.  and  Lehmer n.

First numbers that belong to both sets:

85, 1111, 4369, 7051, 10291, 13747, 34861, 49155, 50737, 61249, 88357, 100651, 157641, 181579, 227767, 319965, 327685, 344191, 347721, 359601, 363091, 450571, 524841, 597255, 616477, 642001, 656601, 1004251, 1272271, 1364595, 1571361, 1703677, 2322751, 2526567, 3192711, 3301791, 3400881, 3442531, 3752167, 4101637, 4137061, 4398801, 5617489, 7144291, 7428421, 7776231, 8131981, 9186171, 9934341, 10930459, 12443431, 13232791, 13466731, 14069641, 14517049, 15952321, 16042027, 17592841, 18124177, 18157711, 19309795, 20377861, 20488195, 20684857, 21499621, 21962641, 21987511, 22669501, 22979121, 23118061, 23547721, 23913319, 24964381, 26946571, 27218269, 27336673, 28345681, 28753341, 30698907, 30821791, 30847657, 31226271, 31876755, 32742051, 33284251, 33378961, 33391671, 34315051, 34487601, 34691371, 35642389, 36120901, 36148261, 37167361, 37840531, 38261931, 38373441, 39264511, 39334261, 39473785, 40991611, 41294695, 41932891, 42376411, 42851749, 43646593, 45579331, 47903701, 47916295, 48170011, 48234901, 48393357, 50196721, 50670391, 51090691, 51216801, 52280371, 52493647, 54601261, 55982191, 56774641, 57804685, 57956935, 60256561, 60611551, 61171951, 61483801, 61591531, 62454931, 64020001, 65755831, 65829037, 65949027, 66867031, 68206411, 69267367, 69835515, 74138701, 75440821, 75587485, 76316809, 77703241, 77763883, 78273559, 81816547, 83084251, 84319411, 85694161, 86438857, 87115855, 88226671, 88513711, 89190301, 92990731, 93140971, 93614521, 96060091, 98907997, 99171031, 99264451.