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pernicious n.  and  Poulet n.

First numbers that belong to both sets:

341, 1387, 1729, 1905, 2047, 2465, 2821, 3277, 4033, 4371, 4681, 5461, 6601, 8321, 10261, 10585, 18705, 18721, 19951, 31609, 35333, 41041, 46657, 49141, 55245, 57421, 60787, 63973, 65077, 68101, 75361, 83333, 90751, 121465, 129889, 137149, 149281, 154101, 176149, 188057, 196021, 212421, 220729, 228241, 241001, 249841, 258511, 272251, 275887, 318361, 323713, 348161, 367081, 387731, 401401, 448921, 476971, 486737, 489997, 493697, 493885, 513629, 514447, 530881, 563473, 574561, 580337, 611701, 625921, 642001, 647089, 665333, 679729, 688213, 710533, 729061, 738541, 743665, 748657, 786961, 825265, 831405, 838861, 847261, 852481, 875161, 898705, 934021, 1016801, 1023121, 1024651, 1050985, 1053761, 1073021, 1082401, 1128121, 1145257, 1246785, 1251949, 1252697, 1275681, 1293337, 1306801, 1373653, 1397419, 1398101, 1441091, 1457773, 1461241, 1463749, 1493857, 1507963, 1529185, 1530787, 1533601, 1537381, 1549411, 1569457, 1584133, 1690501, 1719601, 1735841, 1746289, 1755001, 1809697, 1815465, 1830985, 1907851, 1908985, 1993537, 1994689, 2004403, 2008597, 2081713, 2113921, 2142141, 2163001, 2165801, 2213121, 2233441, 2313697, 2350141, 2414001, 2433601, 2434651, 2503501, 2508013, 2528921, 2537641, 2609581, 2615977, 2617451, 2649029, 2746589, 2773981, 2780731, 2793351, 2899801, 2940337, 2944261, 2953711, 2987167, 3073357, 3090091, 3094273, 3186821, 3224065, 3225601, 3316951, 3375487, 3429037, 3435565, 3568661, 3581761, 3656449, 3726541, 3763801, 3814357, 3898129, 3916261, 3936691, 4005001, 4025905, 4069297, 4072729, 4101637, 4154161, 4154977, 4209661, 4314967, 4363261, 4371445, 4480477, 4504501, 4682833, 4698001, 4767841, 4827613, 4835209, 4863127, 4864501, 4868701, 4877641, 4895065, 4903921, 4922413, 5016191, 5034601, 5095177, 5131589, 5133201, 5148001, 5187637, 5193721, 5250421, 5256091, 5284333, 5489121, 5489641, 5524693, 5560809, 5575501, 5590621, 5599765, 5672041, 5681809, 5733649, 5758273, 5872361, 5968873, 6027193, 6135585, 6183601, 6236257, 6236473, 6309901, 6350941, 6368689, 6386993, 6539527, 6617929, 6658669, 6732817, 6733693, 6836233, 6840001, 6868261, 6886321, 6912079, 7177105, 7207201, 7215481, 7259161, 7414333, 7416289, 7428421, 7462001, 7519441, 7546981, 7656721, 7674967, 7724305, 7883731, 8012845, 8036033, 8043841, 8134561, 8137585, 8280229, 8388607, 8462233, 8640661, 8650951, 8719309, 8725753, 8727391, 8812273, 8830801, 8927101, 8992201, 9040013, 9056501, 9069229, 9131401, 9223401, 9588151, 9591661, 9729301, 9816465, 9890881, 9908921, 9995671.