BE-numbers: duplicates

Duplicates are BE-numbers that have more than one representation.


Duplicates with 2, 3, 4, 5, 6 and 7 representations are shown below.

2 representations (up to 10⁶):    A386966


545, 1407, 1492, 2409, 3370, 3605, 3718, 4516, 4523, 4684, 5441, 6348, 7346, 7737, 7865, 7922, 8122, 8538, 9046, 10010, 10037, 10298, 10458, 10554, 10651, 10891, 10953, 11047, 11653, 11853, 11986, 12025, 12449, 13621, 14078, 14098, 14535, 14970, 16138, 16449, 16705, 16905, 17401, 18149, 18161, 18509, 18521, 18538, 18638, 19253, 19283, 19574, 19787, 19830, 19893, 21788, 21881, 22654, 23018, 23025, 23657, 23970, 24578, 24652, 24913, 24946, 25164, 25169, 25201, 25690, 25861, 26177, 26268, 26524, 26903, 27301, 27484, 27690, 27736, 27973, 28646, 28773, 29077, 30053, 30107, 30153, 30609, 31633, 31762, 33020, 33305, 33401, 34105, 34478, 34505, 34669, 34838, 35249, 35850, 36152, 36263, 37172, 38557, 39365, 40195, 40289, 40305, 40511, 40765, 41333, 41544, 41623, 41803, 41879, 42187, 42963, 43320, 43429, 43698, 43890, 43933, 43973, 44073, 44417, 46426, 47089, 47136, 48063, 48121, 48181, 48309, 48322, 48712, 48941, 49886, 50132, 50835, 50932, 50965, 51161, 51309, 51428, 52281, 52501, 53004, 53169, 53318, 53438, 53444, 53477, 53534, 53786, 54393, 54446, 54778, 54853, 54937, 55162, 56274, 56550, 56959, 57114, 57547, 57978, 58309, 58850, 59380, 59551, 59586, 59689, 59876, 60226, 60259, 60386, 60408, 60554, 60754, 61323, 61425, 61922, 62057, 62090, 62486, 63001, 63105, 63178, 63351, 63899, 64289, 65379, 65441, 65445, 65498, 65761, 66034, 66129, 66257, 66659, 66681, 66692, 66724, 66916, 67328, 67441, 67468, 67470, 67610, 68061, 68077, 68566, 68570, 68666, 68886, 69062, 69159, 69644, 69649, 69681, 69809, 69847, 70112, 70225, 70378, 70569, 70593, 70724, 70735, 70762, 71254, 71703, 71791, 71825, 72074, 72292, 72774, 72806, 72924, 73559, 73684, 73765, 73802, 73957, 74422, 74475, 74692, 74993, 75249, 76209, 76498, 76513, 76763, 76806, 76809, 76927, 77081, 77265, 77817, 77942, 78014, 78338, 78765, 79154, 79287, 79308, 79521, 79559, 79638, 79879, 79961, 80057, 80206, 80273, 80489, 80697, 80819, 81065, 81303, 81325, 81338, 81402, 81554, 81722, 82021, 82279, 82316, 82401, 82641, 82741, 82919, 83005, 83085, 83173, 83353, 83482, 83648, 83669, 84157, 84164, 84577, 84806, 84837, 84938, 85083, 85146, 85227, 85362, 85381, 85485, 85693, 85804, 85833, 86142, 86173, 86205, 86287, 86298, 86460, 86561, 86634, 86778, 86794, 86851, 86972, 86977, 87195, 87216, 87229, 87549, 87703, 87853, 87934, 88022, 88338, 88818, 89553, 89723, 89878, 89941, 89976, 90101, 90135, 90249, 90629, 91073, 91167, 91645, 91811, 91916, 91987, 92553, 92834, 92991, 93042, 93066, 93175, 93207, 93218, 93234, 93298, 93867, 94431, 94661, 94770, 95161, 95290, 95417, 95525, 95594, 97626, 98345, 98434, 98490, 98510, 99332, 99471, 99836, 99914, 100117, 100244, 100324, 100351, 100373, 100386, 100875, 100885, 101047, 102247, 102492, 102494, 102555, 103190, 103254, 103385, 103629, 103809, 103837, 104010, 104333, 105481, 105613, 105753, 105970, 106019, 106762, 106915, 107138, 108197, 108333, 109657, 109954, 111136, 111306, 111429, 111637, 111827, 111883, 112106, 112143, 112170, 112309, 112640, 112854, 112942, 113678, 114905, 115234, 115242, 115501, 115600, 115705, 115716, 115910, 116454, 116503, 116720, 116893, 116904, 116962, 117034, 117797, 117910, 118039, 118081, 118085, 118261, 118437, 118822, 118825, 118841, 118907, 119461, 119482, 119492, 119952, 119966, 120122, 120222, 120593, 120725, 120896, 121200, 121472, 122088, 122106, 122558, 123169, 123189, 123285, 123923, 124026, 124281, 124886, 125027, 125358, 125367, 125421, 125623, 125687, 125690, 125810, 125841, 125946, 126077, 126097, 126162, 126294, 126535, 126799, 126853, 127009, 127353, 127490, 127519, 127659, 127809, 127952, 128011, 128058, 128913, 128935, 129077, 129218, 129661, 129811, 130009, 130134, 130701, 131233, 131729, 132306, 132349, 132906, 133379, 133434, 133447, 133872, 134085, 134358, 134590, 134997, 135082, 135197, 135254, 135271, 135313, 135474, 135710, 136241, 136497, 136499, 136757, 137115, 137456, 137529, 137620, 137643, 137752, 138026, 138322, 138399, 138448, 138481, 138579, 138642, 138657, 138774, 138869, 139050, 139519, 139698, 139937, 140389, 140623, 141962, 142082, 142335, 142399, 142543, 142622, 142993, 142995, 143458, 143768, 143826, 144069, 144335, 144467, 144654, 144881, 144910, 145001, 145064, 145166, 145499, 145825, 146320, 146583, 146817, 147103, 147309, 147574, 147873, 147946, 148218, 148245, 148305, 148589, 148903, 149748, 150113, 150173, 150200, 150284, 150598, 150718, 150790, 151095, 151127, 151677, 152145, 152396, 152433, 152438, 152499, 152533, 152591, 152858, 153021, 153238, 153675, 154056, 154802, 155034, 155322, 155872, 156421, 156821, 156902, 157300, 157460, 157831, 157854, 158324, 158741, 158982, 159186, 159269, 159319, 159349, 159738, 160550, 160621, 160669, 160753, 160813, 161701, 161878, 162120, 162674, 163124, 163380, 163598, 163990, 164277, 164581, 164765, 164966, 165287, 165301, 165329, 165497, 165577, 165739, 166122, 166570, 166859, 167517, 167658, 167856, 167896, 168049, 168550, 168630, 168831, 169262, 169849, 170702, 170815, 171226, 171445, 172321, 172347, 173827, 174382, 174608, 175067, 175078, 175437, 175446, 175693, 175874, 175901, 176034, 176207, 176953, 177348, 177959, 178398, 178570, 178578, 178791, 178818, 178834, 178893, 178949, 179150, 179858, 180198, 180274, 180869, 181287, 181810, 181847, 182196, 182546, 182566, 182646, 182718, 182974, 183153, 184058, 184152, 184610, 184673, 184684, 184700, 184796, 184877, 185076, 185133, 185391, 185821, 185936, 186075, 186100, 186309, 186476, 186506, 186577, 186848, 186959, 187809, 188255, 188325, 188634, 189262, 189865, 190114, 190898, 190975, 191137, 191464, 191778, 192021, 192084, 192976, 192993, 193049, 193239, 194221, 194285, 195473, 195568, 195585, 196061, 196404, 196454, 196743, 196756, 196802, 196821, 196926, 197136, 197294, 197366, 197885, 198040, 198045, 198077, 198156, 198441, 198510, 199774, 199927, 200302, 200471, 200708, 200889, 201206, 201458, 201472, 201877, 201978, 203018, 203558, 203655, 203806, 203907, 204116, 204895, 205002, 205050, 205085, 205626, 205738, 205975, 206144, 206423, 206442, 206698, 206743, 206817, 207407, 207806, 209639, 210218, 210255, 211377, 211527, 211659, 211757, 211911, 211938, 212167, 212194, 212455, 212680, 212919, 212938, 213606, 213932, 214573, 215181, 215464, 216931, 217489, 217602, 218101, 218239, 221029, 221730, 221850, 222664, 223578, 224004, 224160, 224337, 225054, 225114, 225226, 225454, 225594, 225798, 226245, 226514, 226517, 227682, 227850, 228190, 228458, 228546, 228565, 228874, 228906, 229336, 229574, 229778, 229781, 230245, 230682, 230714, 230808, 231072, 231278, 231305, 231356, 231682, 231775, 231916, 232085, 232196, 232223, 232756, 233412, 233467, 234098, 236380, 236405, 236543, 236688, 236941, 238390, 239643, 239850, 240667, 240703, 242078, 242129, 243412, 243834, 243976, 244270, 244526, 245666, 245919, 245921, 247271, 247395, 248210, 250366, 250937, 251438, 251690, 251974, 252162, 252557, 253062, 253098, 253584, 254538, 255171, 255739, 256242, 256502, 256849, 256874, 258299, 258366, 258439, 259098, 259489, 260026, 261638, 262076, 262463, 262702, 262804, 262884, 263564, 263878, 264295, 264337, 264955, 265070, 265439, 266399, 266458, 267581, 267860, 268123, 268810, 269514, 269594, 269829, 270192, 270238, 270301, 270309, 270319, 270390, 270398, 270658, 270874, 271098, 271255, 271273, 271292, 271511, 271847, 271861, 271946, 271960, 271962, 272007, 272046, 272586, 272603, 272639, 272976, 273101, 273194, 273199, 273317, 273363, 273613, 273783, 273890, 274306, 274307, 274360, 274448, 274485, 275218, 275878, 276250, 276570, 276586, 276783, 276791, 277039, 277130, 277338, 277511, 277600, 277728, 277754, 277763, 277934, 277946, 278003, 278178, 278463, 278503, 279003, 279130, 279386, 279616, 279641, 279850, 279859, 279926, 279979, 280037, 280143, 280327, 280332, 280416, 280440, 280561, 280978, 281410, 281879, 281891, 282132, 282255, 282661, 282721, 282984, 283075, 283252, 283450, 283477, 283643, 283880, 284124, 284535, 285046, 285080, 285223, 285336, 285376, 285696, 286125, 286215, 286255, 286259, 286342, 286598, 286732, 287016, 287249, 287683, 288433, 288629, 288760, 289086, 289990, 290178, 290535, 290629, 290750, 291103, 291182, 291327, 291558, 291727, 292501, 292817, 292916, 292946, 293066, 293259, 293386, 293594, 293833, 294130, 294141, 294203, 294458, 294490, 294636, 294823, 294998, 295082, 295089, 295644, 295675, 295890, 295925, 296291, 296650, 296677, 296723, 296762, 297090, 297337, 297424, 297505, 297891, 297947, 298073, 298094, 298133, 298161, 298258, 298739, 299056, 299072, 299393, 299516, 299672, 300137, 300838, 300972, 301241, 301491, 302110, 302178, 302374, 302395, 302509, 303321, 303723, 303895, 303907, 304063, 304121, 304161, 304203, 304996, 305183, 305285, 305558, 305656, 306051, 306242, 306363, 306852, 307149, 307298, 307442, 307498, 307605, 308532, 308537, 309130, 309330, 309576, 309728, 310328, 310354, 310830, 310905, 311346, 311529, 311560, 311621, 311940, 311971, 312399, 312422, 312679, 312922, 312988, 313233, 313253, 313265, 313589, 313618, 313626, 313748, 313749, 314218, 314237, 314433, 314700, 314900, 315146, 315466, 315566, 315844, 316901, 316932, 316975, 317244, 317246, 317422, 317531, 318097, 318394, 318421, 318483, 318503, 318645, 318758, 318946, 319473, 319610, 319697, 319806, 319920, 319982, 320098, 320313, 320366, 320462, 320730, 320821, 321232, 321292, 321307, 321770, 321996, 322107, 322196, 322578, 322585, 323172, 323324, 323737, 324166, 324298, 324607, 324739, 324803, 325073, 325119, 325570, 325597, 325983, 326115, 326297, 326338, 326357, 326696, 326799, 327098, 327217, 327906, 327909, 328427, 328450, 328683, 328763, 328991, 329153, 329166, 329377, 329482, 329533, 329651, 329792, 330127, 330146, 330226, 330250, 330272, 330485, 330487, 330506, 330608, 330690, 330747, 330884, 330987, 331034, 331102, 331106, 331215, 331317, 331450, 331681, 331879, 331883, 332038, 332099, 332155, 332242, 332725, 333254, 333387, 334084, 334160, 334283, 334484, 334653, 334806, 335167, 335224, 335237, 335416, 335489, 335578, 335609, 335746, 335820, 336803, 337115, 337125, 337205, 337216, 337586, 337617, 337755, 337778, 337934, 337979, 338114, 338277, 338318, 338373, 338700, 338890, 338891, 339633, 339800, 340169, 340283, 340462, 340816, 340845, 340892, 340964, 341141, 341270, 341289, 341293, 341311, 341498, 341711, 341754, 342006, 342088, 342227, 342521, 342581, 342617, 342823, 342963, 343127, 343312, 343426, 343675, 343728, 343850, 344017, 344023, 344196, 344395, 344594, 344914, 345465, 345639, 345728, 345829, 346138, 346174, 346614, 346800, 347008, 347214, 347519, 347628, 348135, 348779, 348922, 349363, 349535, 349925, 350019, 350346, 351001, 351223, 351627, 352279, 352328, 352520, 352690, 352737, 352832, 353335, 353363, 353479, 353904, 354531, 354618, 354683, 354893, 355171, 355264, 355392, 355467, 355673, 355691, 355883, 355974, 356016, 356073, 356143, 356152, 356316, 356333, 356479, 356497, 357016, 357023, 357208, 357288, 357339, 357372, 357408, 357442, 357656, 357864, 357998, 358144, 358185, 358552, 359055, 359190, 359224, 359386, 359715, 360167, 360222, 360295, 360516, 360735, 361747, 361792, 361829, 361939, 361996, 362023, 362126, 362152, 362166, 362389, 362922, 363062, 363645, 363681, 364095, 364349, 364446, 364586, 364971, 365001, 365044, 365064, 365104, 365170, 365301, 365485, 365590, 365773, 365970, 366576, 366999, 367166, 367184, 367822, 367963, 368018, 368474, 368491, 368493, 368822, 369074, 369153, 370270, 370348, 370507, 370530, 370542, 370619, 370699, 370810, 371338, 371572, 371846, 371903, 372258, 372470, 372639, 372771, 372925, 373688, 373783, 374253, 374384, 374615, 374668, 374791, 374848, 374896, 375152, 375278, 376085, 376086, 376366, 376432, 376802, 377518, 377545, 377643, 377696, 377721, 378057, 378275, 378405, 378443, 378539, 378635, 378755, 378872, 378898, 379755, 380126, 380153, 380183, 380725, 380923, 381153, 381428, 382088, 382885, 382934, 383664, 384169, 384897, 384929, 384933, 385011, 385543, 385619, 385623, 385735, 386216, 386221, 386410, 386490, 386736, 386799, 386898, 387199, 387398, 387702, 387934, 387955, 388091, 388282, 388744, 388881, 389122, 389124, 389390, 390064, 390200, 390258, 390361, 390371, 390645, 391196, 391258, 391472, 391636, 391990, 392016, 392398, 393087, 393228, 393726, 393746, 393769, 394190, 394242, 394392, 394546, 394567, 395114, 395158, 395173, 395236, 395260, 395402, 395417, 395762, 396019, 396122, 396422, 396449, 396543, 396570, 396690, 396756, 396846, 396894, 396949, 397565, 397585, 397602, 397734, 397747, 397751, 397868, 397932, 398059, 398075, 398299, 398426, 398877, 398952, 398966, 398970, 399074, 399114, 399238, 399306, 399581, 399642, 399819, 399877, 399889, 399898, 399938, 399999, 400144, 400222, 400235, 400328, 400370, 400682, 400727, 400983, 401030, 401281, 401416, 401559, 401628, 402020, 402091, 402577, 402604, 402650, 402827, 402850, 403024, 403095, 403135, 403416, 403418, 403495, 403672, 403683, 403710, 403788, 403883, 403933, 404098, 404186, 404312, 404483, 404623, 404627, 404662, 404664, 404771, 404778, 404971, 405208, 405251, 405666, 405707, 405867, 406083, 406354, 406405, 406538, 406700, 406731, 406770, 406799, 406878, 406947, 407157, 407253, 407257, 407597, 407601, 407642, 407769, 407800, 408046, 408185, 408204, 408352, 408540, 408588, 408792, 408822, 408837, 408892, 409127, 409173, 409395, 409615, 409661, 409756, 409963, 410032, 410163, 410247, 410282, 410391, 410418, 410640, 411086, 411129, 411315, 411336, 411347, 411405, 411483, 411489, 411941, 412141, 412325, 412866, 412873, 413525, 413631, 414011, 414108, 414192, 414371, 414533, 414855, 414860, 415180, 415220, 415494, 415814, 415999, 416161, 416189, 416316, 416322, 416650, 416698, 416926, 416955, 417110, 417220, 417355, 417429, 417538, 417597, 417613, 417997, 418031, 418054, 418117, 418159, 418305, 418326, 418396, 418746, 418748, 418874, 418888, 418942, 419020, 419030, 419067, 419297, 419535, 419551, 419912, 419923, 419981, 420166, 420344, 421022, 421122, 421146, 421171, 421210, 421300, 421336, 421772, 421806, 421815, 421898, 422174, 422192, 422306, 422370, 422419, 422663, 422667, 422691, 422777, 422989, 423173, 423291, 423493, 423671, 423715, 424169, 424287, 424370, 424413, 424502, 424518, 424629, 424886, 424931, 425730, 426102, 426165, 426298, 426438, 426513, 426606, 426858, 426870, 427149, 427393, 427706, 427738, 427916, 427929, 427939, 428022, 428092, 428218, 428292, 428685, 428814, 428816, 429043, 429430, 429522, 429524, 429630, 429918, 430048, 430081, 430374, 430419, 430539, 430577, 430661, 430723, 430818, 431258, 431781, 432045, 432047, 432254, 432269, 432795, 432859, 432891, 433305, 433797, 433848, 434098, 434137, 434343, 434625, 434722, 434822, 435119, 435133, 435267, 435404, 435824, 436147, 436533, 436757, 436957, 437128, 437535, 437596, 437614, 437702, 437907, 438180, 438448, 438723, 438738, 438837, 438902, 438963, 439066, 439125, 439205, 439286, 439323, 439743, 440175, 440205, 440318, 440566, 440776, 441027, 441202, 441223, 441325, 441514, 441698, 442182, 442190, 442245, 442276, 442746, 442994, 443253, 443619, 443982, 443998, 444039, 444096, 444327, 444374, 444951, 445181, 445188, 445392, 445437, 445710, 445729, 445737, 445847, 445964, 445981, 446342, 446445, 446744, 447465, 448118, 448233, 448375, 448935, 449072, 449076, 449106, 449169, 449197, 449692, 449798, 449847, 449874, 450312, 450408, 450410, 450506, 450771, 450990, 451027, 451065, 451241, 451928, 452290, 452294, 452474, 452739, 453237, 453346, 453603, 453616, 453804, 453979, 454902, 455423, 455448, 455799, 455802, 455826, 455900, 456067, 456162, 456392, 456471, 456531, 457047, 457079, 457691, 457890, 457942, 457962, 457963, 457971, 458045, 458328, 458568, 458651, 458669, 459281, 459837, 460059, 460385, 460818, 460820, 461214, 461315, 461388, 461468, 461577, 461796, 461846, 462085, 462463, 462541, 462604, 462626, 462962, 463201, 463228, 463257, 463354, 463658, 463714, 463766, 463876, 463896, 463937, 463966, 464029, 464085, 464120, 464141, 464143, 464158, 464275, 464547, 464676, 464942, 464967, 464982, 465068, 465286, 465404, 465712, 465782, 465922, 465995, 466045, 466122, 466211, 466397, 466580, 466637, 466762, 467221, 467432, 467892, 467992, 468451, 468456, 468716, 468741, 468772, 468795, 468924, 469082, 469120, 469684, 469969, 470046, 470129, 470154, 470322, 470346, 470529, 470584, 470715, 470882, 470951, 471618, 471658, 472075, 472282, 472474, 472511, 472650, 472651, 472989, 473526, 473655, 473749, 473962, 474098, 474108, 474582, 474666, 474748, 474824, 475003, 475128, 475147, 475198, 475245, 475265, 475467, 475501, 476262, 476495, 476588, 476606, 476737, 476747, 476966, 477110, 477223, 477334, 477456, 477464, 477475, 477636, 477721, 477790, 478066, 478327, 478666, 478716, 478740, 478923, 479376, 479571, 479934, 480066, 480535, 480845, 481015, 481310, 481832, 482325, 482480, 483181, 483413, 483496, 483613, 484524, 484692, 485954, 486126, 486176, 486656, 486811, 486857, 486922, 487170, 487206, 487430, 487544, 487682, 487850, 487981, 488638, 488834, 488838, 489291, 489383, 489427, 489652, 489679, 490114, 490130, 490660, 491003, 491058, 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3 representations
(up to 10⁷):    A386967

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4 representations (up to 10⁷):    A386968

331979 = 2¹⁵ + 4⁵ + 5⁶ + 6⁷ + 7⁴ + 15² = 2² + 3⁸ + 4⁹ + 5³ + 8⁴ + 9⁵ = 2⁵ + 3¹⁰ + 4⁹ + 5² + 9³ + 10⁴ = 2⁶ + 3¹⁰ + 4⁹ + 5⁵ + 6² + 9⁴ + 10³
536134 = 2¹⁶ + 3¹⁰ + 4⁹ + 5⁷ + 6⁶ + 7⁵ + 9⁴ + 10³ + 16² = 2¹⁶ + 4⁸ + 5⁵ + 6⁷ + 7⁶ + 8⁴ + 16² = 2¹⁸ + 3¹¹ + 4⁴ + 5⁷ + 7⁵ + 11³ + 18² = 2⁶ + 3¹² + 4³ + 5⁵ + 6⁴ + 12²
602342 = 2¹³ + 3⁸ + 4² + 5³ + 6⁷ + 7⁵ + 8⁶ + 13⁴ = 2¹⁵ + 3¹⁰ + 4⁸ + 5⁷ + 6⁴ + 7² + 8⁶ + 10⁵ + 15³ = 2¹⁶ + 3¹² + 4⁴ + 5⁵ + 12³ + 16² = 2⁸ + 3¹² + 4³ + 5⁵ + 6⁶ + 8² + 12⁴
848707 = 2¹⁰ + 3¹¹ + 4⁹ + 5⁵ + 6⁷ + 7⁶ + 9⁴ + 10³ + 11² = 2¹² + 3⁵ + 4³ + 5² + 7⁷ + 12⁴ = 2³ + 3⁹ + 4⁶ + 6⁴ + 7⁷ + 9² = 2⁷ + 3¹² + 4⁹ + 6⁶ + 7² + 9⁴ + 12³
1007017 = 2¹³ + 3¹⁰ + 4⁹ + 5⁶ + 6⁷ + 7² + 9³ + 10⁴ + 13⁵ = 2¹³ + 3⁶ + 4⁹ + 5⁸ + 6⁷ + 7² + 8⁴ + 9⁵ + 13³ = 2¹⁵ + 3⁹ + 4⁸ + 5⁷ + 6⁶ + 7² + 8⁴ + 9³ + 15⁵ = 2¹⁷ + 3¹¹ + 4⁷ + 5⁸ + 6⁶ + 7² + 8³ + 11⁵ + 17⁴
1360430 = 2¹⁰ + 3⁹ + 4³ + 5⁴ + 6⁷ + 7² + 9⁵ + 10⁶ = 2¹¹ + 4⁹ + 5⁸ + 6⁷ + 7⁴ + 8⁶ + 9² + 11⁵ = 2¹⁷ + 3⁶ + 4¹⁰ + 5⁷ + 6⁴ + 7³ + 10⁵ + 17² = 2⁹ + 3¹² + 5⁵ + 7⁷ + 9² + 12³
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7 representations : A387681

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