DE-numbers
Let B = { b₁, ... , bₜ } and E = { e₁, ... , eₜ }, with 0 < b₁ < ··· < bₜ and e₁ > ··· > eₜ > 1.
The DE-numbers are the integers n(B,E) = b₁^e₁ + ··· + bₜ^eₜ.
The last found positive integer that is not a DE-number is 1190.
n(B,E) = 1,4,5,8,9,10,16,17,18,24,25,26,27,28,32,33,34,36,37,41,42,43,44,45,48,49,50,52,53,57,
58,59,60,63,64,65,66,68,69,72,73,74,75,76,77,79,80,81,82,84,85,89,90,91,92,93,95,96,97,98,
100,101,105,106,107,108,109,113,114,116,117,118,121,122,123,124,125,126,127,128,129,
130,131,132,133,137,138,139,140,141,142,143,144,145,146,148,149,150,152,153,154,155,
156,157,158,159,160,161,162,163,164,165,169,170,171,172,173,174,175,176,177,178,180,
181,182,185,186,187,188,189,190,191,192,193,194,195,196,197,201,202,203,204,205,206,
207,208,209,210,212,213,214,216,217,218,219,220,221,222,223,224,225,226,227,228,229,
232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,
253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,
274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,
295,296,297,298,299,300,301,302,303,305,306,307,308,309,310,311,312,313,314,315,316,
317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,
338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,
359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,
380,381,382,383,384,385,386,387,388,389,391,392,393,394,395,396,397,398,399,400,401,
402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,
423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,
444,445,446,447,448,449,450,451,452,453,455,456,457,458,459,460,461,462,463,464,465,
466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,
487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,
508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,
529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,
550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,
571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,
592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,
613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,
634,635,636,637,638,639,640,641,642,643,644,645,647,648,649,650,651,652,653,654,655,
656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,
677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,
698,699,700,701,702,703,704,705,706,707,708,709,711,712,713,714,715,716,717,718,719,
720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,
741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,
762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,
783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,
804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,
825,826,827,828,829,830,831,832,833,834,835,836,837,839,840,841,842,843,844,845,846,
847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,
868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,
889,890,891,892,893,894,895,896,897,898,899,900,901,903,904,905,906,907,908,909,910,
911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,
932,933,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,
954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,
975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,
996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,
1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,
1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,
1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,
1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,
1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,
1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,
1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,
1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,
1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,
1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,
1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,
1189,1191,...