Search a number
perfect power  and  unprimeable n.

First numbers that belong to both sets:

324, 512, 625, 1764, 2048, 6400, 6724, 7776, 9216, 10404, 10648, 10816, 11664, 12996, 17424, 19044, 21904, 21952, 23104, 27000, 27225, 30625, 32768, 33124, 34225, 35344, 36864, 38025, 38416, 42875, 44944, 45796, 46656, 49284, 51984, 53824, 56644, 60516, 63504, 68644, 73984, 74088, 76176, 77284, 79524, 82944, 84100, 85184, 85264, 86436, 87025, 91204, 93025, 94864, 96100, 97336, 97344, 101124, 105625, 111556, 112896, 114244, 118336, 119716, 121104, 123904, 128164, 133225, 133956, 136900, 142884, 145924, 150544, 152100, 153664, 156025, 157464, 161604, 166375, 166464, 169744, 171396, 175616, 178084, 181476, 183184, 191844, 195112, 195364, 198025, 198916, 200704, 202500, 206116, 211600, 216000, 216225, 219024, 228484, 230400, 232324, 235225, 236196, 248004, 254016, 260100, 264196, 265225, 266256, 268324, 272484, 278784, 279936, 286225, 289444, 291600, 298116, 311364, 314432, 315844, 318096, 320356, 327184, 334084, 338724, 342225, 343000, 348100, 350464, 357604, 364816, 373248, 374544, 376996, 381924, 389376, 390625, 394384, 396900, 399424, 403225, 412164, 419904, 421875, 422500, 429025, 435600, 451584, 459684, 465124, 467856, 473344, 483025, 487204, 492804, 497025, 501264, 515524, 518400, 525625, 535824, 537824, 540225, 544644, 550564, 553536, 559504, 568516, 574564, 580644, 585225, 586756, 592704, 599076, 605284, 611524, 624100, 643204, 652864, 656100, 659344, 664225, 672400, 675684, 681472, 685584, 695556, 697225, 702244, 705600, 708964, 715716, 729000, 729316, 731025, 736164, 748225, 749956, 756900, 760384, 767376, 774400, 777924, 784996, 799236, 801025, 806404, 810000, 824464, 831744, 837225, 853776, 855625, 857375, 861184, 868624, 879844, 883600, 884736, 887364, 898704, 906304, 910116, 912025, 931225, 937024, 941192, 944784, 950625, 956484, 960400, 964324, 970225, 984064, 1004004, 1010025, 1024144, 1030225, 1044484, 1050625, 1052676, 1056784, 1060900, 1061208, 1065024, 1069156, 1081600, 1089936, 1094116, 1102500, 1106704, 1119364, 1134225, 1140624, 1149184, 1153476, 1175056, 1179396, 1183744, 1188100, 1199025, 1218816, 1227664, 1232100, 1243225, 1254400, 1259712, 1272384, 1281424, 1285956, 1288225, 1295044, 1317904, 1327104, 1331000, 1334025, 1340964, 1345600, 1354896, 1357225.

Some larger examples :