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Honaker prime  and  palindromic n.

First numbers that belong to both sets:

131, 16661, 33533, 34543, 91019, 1055501, 1178711, 1303031, 1327231, 1333331, 1609061, 1851581, 3212123, 3236323, 3267623, 3283823, 3470743, 3627263, 3746473, 3784873, 3806083, 7065607, 7134317, 7156517, 7521257, 7622267, 9280829, 105929501, 106555601, 108383801, 108505801, 109333901, 109434901, 109929901, 117686711, 117818711, 118959811, 123575321, 127494721, 128525821, 130606031, 130636031, 130767031, 130858031, 133818331, 134808431, 136818631, 138131831, 139252931, 142363241, 142464241, 144505441, 144979441, 146030641, 146565641, 147191741, 147343741, 151737151, 151777151, 151959151, 152696251, 158474851, 159040951, 159191951, 159292951, 159404951, 160545061, 162464261, 163333361, 163434361, 164151461, 168232861, 174979471, 175101571, 176141671, 177707771, 178101871, 190434091, 194000491, 305525503, 307696703, 307959703, 308646803, 309272903, 315424513, 316494613, 320292023, 320646023, 322828223, 326252623, 327646723, 330787033, 332262233, 335060533, 335282533, 341262143, 342323243, 343696343, 345191543, 349666943, 350939053, 352141253, 352414253, 354454453, 355282553, 355434553, 359121953, 360616063, 362181263, 366454663, 370777073, 370797073, 371919173, 372383273, 372929273, 380828083, 381383183, 392717293, 703444307, 704757407, 706171607, 706474607, 709222907, 711535117, 711565117, 712858217, 714080417, 714787417, 716141617, 718000817, 720818027, 721515127, 723787327, 724494427, 726020627, 726424627, 729080927, 730737037, 740454047, 740828047, 747151747, 749505947, 750626057, 753727357, 755030557, 762323267, 763323367, 764303467, 771020177, 774080477, 900050009, 900515009, 902181209, 911252119, 913282319, 915424519, 919737919, 922333229, 923040329, 931252139, 938040839, 940363049, 946141649, 950373059, 953313359, 954262459, 961212169, 962141269, 965262569, 971141179, 981151189, 982323289.