I primi che hanno le somme delle cifre, dei loro quadrati, dei cubi e delle potenze successive prime, fino a 106 per i cubi, fino a 107 per i biquadrati e le quinte potenze, fino a 108 per le seste e settime potenze, fino a 109 per tutte le potenze con esponenti superiori

La tabella seguente mostra i primi che abbiano le somme delle cifre, dei loro quadrati, e cubi e potenze successive prime, fino a 106 per i cubi, fino a 107 per i biquadrati e le quinte potenze, fino a 108 per le seste e settime potenze, fino a 109 per tutte le potenze con esponenti superiori (M. Fiorentini, 2020).

n

Primi con somme delle potenze delle cifre fino alla n-esima prime

3

199, 337, 373, 449, 463, 643, 733, 829, 919, 991, 1499, 1949, 2089, 2333, 2441, 2557, 3037, 3307, 3323, 3583, 3637, 3673, 3853, 4049, 4111, 4241, 4409, 4421, 4481, 4603, 4663, 4919, 5503, 5527, 6043, 6337, 6373, 6733, 8209, 8353, 8887, 9091, 9109, 9419, 9491, 9901, 9941, 10099, 10141, 10499, 10909, 10949, 11113, 11117, 11131, 11159, 11171, 11173, 11243, 11261, 11311, 11317, 11399, 11423, 11443, 11489, 11519, 11621, 11731, 11777, 11821, 11939, 12143, 12161, 12211, 12347, 12413, 12437, 12451, 12473, 12541, 12583, 12611, 12743, 12853, 13171, 13241, 13313, 13331, 13339, 13421, 13441, 13487, 13711, 13933, 14011, 14143, 14251, 14321, 14327, 14341, 14387, 14431, 14543, 14723, 14783, 14891, 15241, 15443, 15823, 16361, 16631, 17483, 17627, 17977, 18121, 18149, 18211, 18253, 18523, 18743, 19009, 19139, 19319, 19333, 19391, 19777, 19841, 19913, 20089, 20333, 20441, 20809, 21121, 21143, 21211, 21341, 21347, 21611, 21767, 22027, 22111, 22229, 22447, 22481, 22483, 23417, 23581, 23741, 24113, 24137, 24151, 24247, 24281, 24317, 24371, 24443, 24821, 24977, 25057, 25183, 25253, 25411, 25453, 25523, 26111, 26177, 26399, 26717, 26993, 27143, 27431, 27479, 27527, 27617, 27749, 27947, 28111, 28351, 28513, 29989, 30307, 30323, 30367, 30637, 30703, 30763, 30853, 31247, 31333, 31393, 31847, 31991, 32141, 32303, 32411, 32969, 33023, 33113, 33203, 33311, 33331, 33353, 33391, 33533, 33863, 33931, 34127, 34141, 34211, 34217, 34439, 34721, 34781, 34871, 35083, 35281, 35803, 36037, 36073, 36161, 36299, 36307, 36383, 36389, 36697, 36833, 36929, 37003, 38053, 38639, 38693, 39119, 39133, 39191, 39313, 39443, 39667, 39863, 40063, 40111, 40241, 40841, 41011, 41143, 41189, 41213, 41231, 41341, 41387, 41413, 41453, 41521, 41543, 41981, 42131, 42221, 42281, 42283, 42443, 42461, 42641, 42797, 42821, 43271, 43411, 43451, 43541, 43721, 43781, 43943, 44021, 44131, 44201, 44351, 44531, 44621, 44797, 45121, 45341, 45413, 45523, 45541, 46643, 47123, 47279, 47297, 47381, 47497, 47947, 48119, 48221, 48281, 48371, 48449, 48731, 48821, 49019, 49109, 49277, 49433, 49477, 49727, 49747, 49811, 50053, 50383, 50503, 50527, 50833, 51241, 51283, 51421, 52057, 52183, 52253, 52453, 52543, 52727, 52813, 53281, 53441, 53777, 54121, 54413, 54541, 54581, 54851, 55207, 55243, 55441, 57557, 57737, 57773, 58231, 58321, 58451, 58789, 58897, 59887, 59999, 60337, 60373, 60647, 60733, 61121, 61211, 61613, 61631, 62939, 63073, 63299, 63389, 63611, 63697, 63703, 63839, 63929, 64063, 64067, 66047, 66403, 66683, 66739, 66863, 66973, 67033, 67217, 67271, 67369, 68881, 69239, 69383, 69763, 69833, 71483, 71777, 71843, 72167, 72341, 72431, 72497, 72617, 72671, 73063, 73421, 73757, 74231, 74279, 74297, 74381, 74729, 74831, 75227, 75377, 75557, 75577, 75773, 76303, 76369, 76963, 77171, 77249, 77261, 77557, 77573, 77621, 77711, 77719, 78341, 79427, 79999, 80209, 82009, 82153, 82241, 82351, 82421, 82487, 82531, 82847, 83417, 83471, 83639, 84137, 84191, 84221, 84223, 84317, 84401, 84449, 84551, 84713, 84731, 84827, 85213, 85303, 85451, 87589, 88241, 88427, 88681, 88807, 88861, 89363, 89633, 90019, 90149, 90901, 91009, 91139, 91151, 91193, 91841, 92369, 92639, 92693, 92899, 93133, 93629, 93683, 93911, 94109, 94343, 94433, 94477, 94727, 94747, 94811, 95111, 95959, 96293, 96329, 96763, 97177, 97771, 98299, 98411, 98929, 99041, 99131, 99289, 99401, 99559, 99623, 99829, 100411, 101113, 101117, 101159, 101173, 101221, 101281, 101333, 101399, 101489, 101663, 101939, 102121, 102161, 102181, 102437, 102451, 102611, 102677, 102811, 103171, 103333, 103393, 103421, 103919, 103991, 104123, 104231, 104327, 104543, 104723, 104891, 106121, 106163, 106277, 106727, 107243, 107717, 107777, 107843, 108211, 108347, 109049, 109139, 109391, 109481, 109841, 109913, 110221, 110261, 110281, 110311, 110711, 110731, 110777, 110821, 110849, 110939, 110951, 111031, 111103, 111149, 111253, 111301, 111439, 111491, 111493, 111509, 112061, 112153, 112249, 112403, 112429, 112601, 112643, 113011, 113017, 113149, 113909, 114001, 114043, 114089, 114193, 114203, 114229, 114269, 114319, 114643, 114799, 114809, 114913, 114997, 115019, 115123, 115321, 115901, 116201, 116243, 116423, 116443, 116483, 117101, 117499, 118409, 118463, 118621, 119039, 119891, 119981, 120121, 120181, 120413, 120431, 120473, 120677, 120767, 120811, 121021, 121061, 121081, 121351, 121403, 121469, 121531, 121661, 122011, 122149, 122453, 122561, 122651, 123401, 123407, 124291, 124301, 124703, 125113, 125131, 125243, 125261, 125311, 125423, 125621, 125803, 126011, 126143, 126341, 126491, 126611, 126851, 127403, 127607, 127739, 127973, 128053, 128549, 129461, 129641, 129737, 130171, 130199, 130241, 131011, 131071, 131101, 131149, 131251, 131303, 131701, 131909, 131941, 132047, 132151, 132511, 133013, 133033, 133039, 133103, 133303, 133673, 134087, 134191, 134207, 134333, 134401, 134597, 134681, 134753, 134807, 135211, 135347, 135479, 135497, 135743, 136337, 136373, 136421, 136481, 136601, 136733, 136841, 137279, 137363, 137453, 137633, 137927, 138407, 138461, 138641, 138889, 139033, 139091, 139109, 139303, 139457, 139547, 139901, 140123, 140143, 140237, 140321, 140453, 140521, 140837, 140891, 140909, 141023, 141263, 141269, 141319, 141403, 141623, 141629, 141863, 141931, 142031, 142169, 142501, 142589, 142619, 143261, 143333, 143357, 143401, 143461, 143537, 143573, 143807, 144013, 144031, 144103, 144163, 145021, 145043, 145289, 145829, 146213, 146291, 146381, 146477, 146921, 147083, 147353, 147647, 147919, 148073, 148091, 148361, 149111, 149113, 149197, 149791, 149971, 151091, 151213, 151901, 152041, 152083, 152311, 152423, 152681, 153437, 153743, 153749, 153947, 154043, 154373, 154733, 154937, 157349, 157433, 157897, 158261, 158429, 158621, 158959, 159347, 159437, 159473, 159589, 159787, 160163, 161201, 161281, 162011, 162143, 162251, 162413, 162419, 162611, 163061, 163337, 163481, 163601, 163733, 163841, 164183, 164231, 164291, 164321, 164341, 164413, 164431, 164477, 164831, 165551, 166013, 166031, 166301, 167663, 168143, 168211, 168851, 169241, 170111, 170243, 170267, 170483, 170627, 170777, 170843, 171077, 171103, 171707, 172607, 172973, 173297, 173543, 173549, 173729, 174467, 174533, 174991, 175349, 175433, 175493, 175897, 176207, 176333, 177239, 177589, 177907, 178403, 178597, 179327, 179453, 180211, 180347, 180419, 180437, 180473, 180491, 181199, 181201, 181409, 181919, 182011, 182101, 182503, 182549, 182561, 183047, 183461, 184073, 184259, 184631, 184703, 184901, 185429, 185599, 185621, 185681, 185797, 185959, 186211, 186581, 187043, 187597, 188389, 188983, 189041, 189401, 189559, 189757, 190391, 190409, 190913, 191039, 191141, 191143, 191189, 191341, 191413, 191497, 191749, 191903, 192377, 192461, 192737, 193727, 194113, 194179, 194197, 194917, 195743, 195787, 197077, 197273, 197419, 197453, 199103, 199181, 199417, 199741, 199811, 200227, 201121, 201211, 201413, 201437, 201451, 201473, 201611, 201743, 201767, 202481, 202577, 202757, 202841, 202999, 203141, 203417, 203969, 204137, 204151, 204173, 204311, 204371, 204427, 204443, 204461, 204511, 204641, 204797, 204821, 204887, 205141, 205253, 205453, 205507, 206177, 206399, 206939, 206993, 207257, 207341, 207479, 207497, 207671, 207947, 208009, 208111, 208513, 209299, 209477, 209639, 209929, 210143, 210347, 210437, 210811, 210853, 211061, 211153, 211403, 211469, 211643, 211661, 211681, 211801, 212419, 212453, 212561, 212651, 213407, 213461, 213641, 213977, 214031, 214051, 214129, 214163, 214219, 214589, 214631, 214691, 215261, 215681, 216149, 216431, 216851, 217397, 217739, 217793, 217937, 218459, 218549, 218611, 218651, 219377, 220421, 220447, 220553, 220757, 220841, 221101, 221453, 221941, 222007, 222029, 222041, 222337, 222643, 223273, 224047, 224153, 224201, 224351, 224513, 224579, 224759, 224911, 225077, 225143, 225161, 225299, 225341, 225431, 225479, 225499, 225503, 225611, 225697, 225749, 225769, 225949, 226511, 227233, 227459, 227569, 229459, 229529, 229547, 229549, 230303, 230471, 230969, 231041, 231461, 231779, 232451, 234161, 235111, 235241, 236659, 236909, 237179, 237401, 237487, 237791, 237971, 238477, 238747, 238789, 238879, 238897, 239069, 240041, 240113, 240131, 240151, 240173, 240283, 240371, 240641, 240797, 240881, 241013, 241037, 241051, 241169, 241253, 241291, 241361, 241589, 241691, 241921, 242083, 242119, 242201, 242911, 243011, 243101, 243161, 243521, 243701, 243787, 244043, 244403, 245279, 245299, 245321, 245981, 246119, 246131, 246223, 247031, 247259, 247301, 247529, 247873, 248021, 248201, 248203, 248483, 248737, 249211, 249257, 250057, 250253, 250543, 250727, 250813, 251261, 251621, 251861, 252143, 252341, 252431, 252611, 252949, 253081, 253801, 253999, 254053, 254213, 254279, 254299, 254729, 254927, 254929, 255007, 255023, 255043, 256121, 256181, 256211, 256279, 256369, 256639, 257249, 258031, 258161, 258491, 258563, 258611, 259229, 259429, 259627, 259841, 259993, 260111, 260399, 260441, 260717, 261011, 261077, 261101, 261251, 261431, 261581, 261707, 262151, 262511, 262597, 262957, 263411, 263909, 264113, 265729, 266111, 266359, 266953, 267017, 267259, 268267, 269039, 269141, 269257, 269527, 270143, 270167, 270527, 270749, 270761, 271043, 271067, 272507, 272549, 272659, 273719, 273971, 274103, 274259, 274301, 274529, 274709, 274783, 274837, 275027, 275207, 275269, 277483, 277601, 278347, 278437, 278743, 279047, 279137, 279173, 279317, 279407, 279731, 279883, 280009, 280243, 280351, 280487, 280513, 281053, 281549, 281651, 282889, 283051, 283501, 284023, 284159, 284201, 284377, 284483, 284591, 284737, 284807, 285031, 285161, 285301, 285611, 286553, 287347, 287437, 288559, 288973, 289099, 289837, 290369, 290963, 291377, 292141, 292459, 292549, 292909, 293177, 293599, 293717, 294211, 294529, 295247, 295429, 295663, 295993, 296563, 297317, 297371, 298099, 298451, 299029, 299063, 299359, 299539, 299603, 300073, 300233, 300323, 300367, 300583, 300673, 301241, 301247, 301331, 301333, 301487, 301711, 301933, 301991, 302411, 302417, 302581, 302851, 302969, 303007, 303139, 303313, 303683, 303689, 303931, 304127, 304211, 304217, 304349, 304411, 304439, 304541, 304781, 304943, 305281, 305441, 305803, 305821, 306389, 306703, 306893, 307481, 307577, 307669, 308521, 308639, 309269, 309313, 309629, 309667, 310111, 310117, 310313, 310333, 310711, 311033, 311099, 311303, 311419, 312047, 312401, 312407, 312779, 313031, 313301, 313343, 313637, 313763, 314021, 314261, 314357, 314401, 314597, 314641, 314807, 314957, 315437, 315743, 316241, 316373, 317011, 317279, 317363, 317453, 317459, 317729, 318407, 318641, 318889, 319411, 319547, 319727, 319901, 320141, 320303, 320417, 320471, 320699, 320741, 320851, 321047, 321779, 322237, 322327, 323003, 324011, 324101, 324161, 324251, 325081, 325421, 325999, 326099, 326141, 326659, 327179, 327401, 327889, 327917, 328051, 328789, 328897, 329177, 329717, 330067, 330131, 330133, 330139, 330203, 330311, 330313, 330331, 330607, 330683, 330689, 331013, 331031, 331301, 331367, 331547, 333019, 333031, 333101, 333103, 333341, 333383, 333503, 333563, 333589, 334049, 334133, 334157, 334331, 334751, 335033, 335417, 335477, 335633, 335747, 335893, 336317, 336353, 336533, 336803, 337361, 337457, 337541, 338609, 338683, 339103, 339583, 340121, 340127, 340211, 340451, 340541, 341027, 341041, 341087, 341191, 341333, 341357, 341461, 341597, 341641, 341681, 341911, 342071, 342101, 342107, 342521, 343313, 343517, 344039, 344161, 344567, 344611, 345041, 345221, 345647, 345731, 345773, 345791, 346141, 346547, 347201, 347287, 347513, 347519, 347591, 347801, 347951, 348017, 349043, 349403, 350281, 350803, 351121, 351347, 351437, 351479, 351497, 351749, 352081, 352111, 352421, 353147, 353389, 353471, 353747, 354041, 354317, 354371, 354377, 354401, 354647, 354737, 354791, 354971, 355457, 356333, 356663, 357347, 357431, 357437, 357473, 358201, 359147, 359299, 359417, 359929, 360037, 360307, 360611, 360769, 361241, 361337, 361373, 361421, 361441, 361481, 362099, 362569, 363173, 363317, 363371, 363533, 363731, 363809, 364141, 364411, 365333, 365683, 366097, 366167, 366259, 366853, 366907, 367069, 367313, 368141, 368411, 368653, 368833, 369029, 369067, 370003, 370241, 370421, 370603, 371453, 371549, 371633, 371927, 372179, 372223, 372401, 372719, 372847, 372917, 372971, 373361, 373613, 373631, 374159, 374287, 374351, 374531, 374537, 374753, 375149, 375341, 375413, 375707, 375743, 376003, 376133, 376609, 377129, 377219, 377291, 377543, 378041, 378289, 378401, 379451, 379499, 379541, 379721, 380147, 380251, 380363, 380417, 380503, 381047, 381461, 382747, 383069, 383609, 383683, 384017, 384107, 384277, 384611, 384701, 385393, 385663, 386039, 386093, 386303, 386383, 386411, 388363, 388859, 388891, 389287, 389533, 390119, 390191, 391019, 392069, 392177, 392599, 393013, 393031, 393103, 393301, 393583, 393853, 394157, 394571, 395147, 395383, 395741, 396029, 397127, 397217, 397541, 397721, 398063, 398287, 398353, 399101, 400199, 400409, 400481, 401101, 401231, 401237, 401321, 401341, 401909, 401981, 402131, 402137, 402221, 402371, 402443, 402511, 402797, 402823, 402881, 403141, 403439, 403721, 403817, 404009, 404021, 404081, 404113, 404423, 404489, 404513, 404531, 404779, 404849, 404977, 405143, 405211, 405253, 405341, 405413, 405541, 406067, 407321, 407947, 408041, 408137, 408173, 408223, 408713, 408911, 409433, 409477, 409901, 410143, 410231, 410341, 410387, 410413, 410453, 410783, 410819, 411001, 411119, 411193, 411683, 411799, 411809, 412031, 412037, 412051, 412073, 412219, 412253, 412589, 412619, 412859, 413027, 413087, 413201, 413207, 413461, 413537, 413579, 413597, 413681, 413753, 413759, 413807, 413911, 414013, 414031, 414053, 414361, 414503, 414677, 414767, 415201, 415379, 415937, 416219, 416291, 416413, 416477, 417023, 417203, 417953, 418073, 418109, 418259, 418631, 419261, 419537, 419753, 419791, 419801, 420041, 420221, 420317, 420731, 420779, 420977, 421037, 421103, 421163, 421361, 421501, 421691, 421703, 422083, 422407, 422759, 422803, 422911, 423251, 424001, 424027, 424601, 425101, 425123, 425189, 425279, 425297, 425819, 426131, 426311, 426401, 427013, 427079, 427103, 427529, 428023, 428801, 428807, 428843, 428951, 429161, 429211, 429259, 429529, 429581, 429851, 430121, 430411, 431021, 431191, 431597, 431621, 431759, 431807, 431911, 432161, 432251, 433049, 433571, 433577, 434011, 434039, 434501, 434611, 435041, 435179, 435221, 435317, 435371, 435401, 435647, 435731, 436181, 436547, 436811, 437153, 437159, 437201, 437287, 437351, 437357, 437519, 437753, 438017, 438611, 438701, 439157, 439799, 440009, 440131, 440227, 440261, 440311, 440339, 440393, 440443, 440551, 440849, 441053, 441361, 441613, 441631, 442027, 442061, 442207, 442601, 443011, 443039, 443161, 443501, 443567, 444043, 444047, 444089, 444403, 444469, 444649, 444863, 445031, 445103, 445567, 445657, 446603, 446717, 446753, 447079, 447617, 447907, 448997, 449077, 449303, 449879, 449987, 450413, 450431, 450451, 450581, 451201, 451337, 451397, 451793, 451937, 452213, 452279, 452297, 453137, 453197, 453317, 453371, 453377, 453737, 454031, 454501, 454637, 454673, 454763, 455401, 455537, 455573, 455647, 456457, 457139, 457229, 457319, 457553, 457643, 457913, 458219, 458501, 458921, 459229, 459317, 460063, 460463, 460643, 461143, 461183, 461381, 461413, 461921, 462041, 462113, 462131, 462191, 462311, 462401, 462911, 463181, 463457, 464021, 464131, 464201, 464311, 464483, 464537, 464557, 464603, 464753, 464771, 464843, 465743, 466043, 467147, 467417, 467471, 467543, 468113, 469121, 470213, 470279, 470297, 470749, 470831, 470927, 470947, 471353, 471467, 471533, 471539, 471593, 471803, 472103, 472301, 472709, 472837, 472907, 473021, 473159, 473201, 473287, 473351, 473513, 473519, 473531, 473951, 473999, 474671, 474709, 474899, 474907, 475229, 475331, 477209, 477409, 477461, 477823, 478273, 479027, 479153, 479191, 479489, 479513, 479939, 480287, 480317, 480449, 480713, 480731, 480827, 480911, 481073, 481109, 481307, 482021, 482203, 482483, 482519, 482773, 483017, 483071, 483611, 483727, 484283, 484643, 485899, 486443, 487013, 488021, 488207, 488959, 489011, 489101, 489479, 490019, 490277, 491081, 491261, 491357, 491537, 491719, 492077, 492257, 492707, 493043, 493111, 493403, 493979, 494077, 494789, 494987, 495371, 495713, 495821, 496211, 497047, 497153, 497351, 497993, 498101, 498497, 498521, 498749, 498859, 498947, 499117, 499397, 499711, 499739, 499973, 500257, 500527, 501191, 501911, 502057, 502141, 502277, 502507, 502543, 503441, 503777, 503803, 503821, 504121, 504143, 504523, 504851, 505027, 505481, 505559, 505777, 507557, 507757, 508033, 508213, 508451, 508789, 508987, 509959, 510241, 510823, 511019, 511109, 511123, 511213, 512311, 512621, 512803, 512849, 513347, 513473, 513479, 513749, 514021, 514201, 514289, 514379, 514733, 514739, 514793, 515651, 516821, 517343, 518249, 518261, 518429, 518621, 518779, 519011, 519787, 520381, 520411, 520813, 521041, 521243, 521401, 521861, 522161, 522413, 522479, 522497, 522679, 522707, 522749, 522947, 523669, 523801, 524053, 524123, 524189, 524231, 524981, 525043, 526121, 526297, 526583, 526853, 526963, 527207, 528013, 528419, 528491, 528611, 529229, 529939, 529999, 530333, 531121, 531347, 531497, 532241, 532421, 532669, 532801, 532999, 533033, 533303, 533363, 533389, 533633, 533747, 533893, 534137, 534173, 534371, 534647, 534971, 535547, 536447, 537143, 537347, 537413, 537743, 537941, 538201, 540121, 540541, 540851, 541201, 542053, 542123, 542189, 542299, 542891, 542981, 543713, 543773, 543791, 543971, 544013, 544031, 544367, 544501, 544549, 545023, 545203, 545449, 545647, 546547, 547133, 547139, 547229, 547373, 547643, 548291, 548501, 549229, 549281, 549713, 550027, 550441, 550577, 550757, 550841, 551651, 552403, 553457, 554467, 554573, 554753, 555077, 555697, 555707, 555743, 555853, 555967, 556579, 556823, 556957, 557057, 558289, 558401, 558829, 559099, 561551, 562181, 562297, 562693, 562963, 563447, 563663, 564437, 564457, 565283, 565511, 565597, 566633, 566833, 568363, 568523, 569263, 569623, 570737, 571433, 571789, 572027, 572207, 572269, 572629, 573143, 573341, 573437, 573473, 573941, 574373, 574643, 574733, 574913, 575077, 577307, 577981, 578719, 578917, 578971, 580033, 580213, 580231, 580303, 581261, 581429, 581599, 581797, 582013, 582031, 582161, 582419, 582563, 582859, 583021, 583339, 585041, 585199, 585289, 585919, 586121, 586363, 586633, 586811, 587179, 587971, 588079, 588097, 588389, 588529, 588839, 588893, 588949, 589159, 589241, 589591, 589717, 589807, 590599, 590959, 591743, 592429, 592663, 592939, 592993, 594137, 594227, 594281, 594821, 594889, 595981, 596227, 596623, 597781, 598159, 598333, 598421, 598489, 598883, 600043, 600337, 600403, 600463, 601631, 602111, 602717, 603389, 603679, 603769, 603833, 603893, 604063, 604603, 606113, 606131, 606311, 606379, 606443, 606863, 607127, 607303, 607721, 608339, 608393, 609673, 609923, 610163, 611483, 611603, 611621, 612011, 612149, 612181, 612341, 612611, 612811, 613061, 613337, 613421, 613441, 613667, 613733, 613841, 614129, 614143, 614183, 614219, 614291, 614321, 614413, 614477, 615821, 616103, 616211, 616367, 616673, 617027, 617333, 617447, 618413, 618521, 618581, 620111, 620441, 620717, 620771, 621143, 621419, 621431, 621521, 621611, 621941, 622151, 622243, 622423, 622957, 624119, 624191, 624311, 624401, 625181, 625279, 625369, 625811, 625927, 626539, 626953, 627017, 627071, 628267, 629411, 629653, 629903, 630299, 630307, 630893, 630967, 631061, 631667, 631733, 632141, 633317, 633803, 633883, 634141, 634181, 634211, 635333, 636563, 636653, 636761, 637003, 638303, 639083, 640421, 640463, 641129, 641143, 641213, 641413, 641747, 641813, 642113, 642223, 643121, 643457, 643547, 644131, 644201, 644557, 644717, 644753, 644843, 645347, 646003, 646403, 646669, 647147, 647417, 647453, 647741, 651221, 651281, 651821, 651881, 652121, 652279, 652369, 652811, 652853, 654743, 655283, 655511, 655579, 655597, 656329, 656833, 656923, 658211, 658253, 658633, 660047, 660131, 660379, 660403, 660683, 660973, 661103, 661121, 661673, 662111, 662287, 662539, 662953, 663097, 663167, 663529, 663563, 663583, 663653, 663709, 663853, 663907, 664043, 664403, 664669, 665239, 665293, 665633, 665923, 666173, 666353, 666649, 666667, 667309, 667361, 667631, 667903, 668533, 670217, 670303, 670639, 670693, 670963, 672107, 673069, 673313, 673609, 674741, 675559, 676903, 677021, 677441, 677687, 678767, 679603, 680881, 681251, 681341, 681521, 682151, 682229, 682511, 683303, 683653, 683833, 684113, 684311, 684443, 686353, 687767, 688333, 688511, 688867, 689033, 690293, 690367, 690673, 691241, 692141, 692309, 693607, 695263, 696253, 696523, 697063, 697603, 700303, 700363, 700633, 701177, 701627, 702257, 702341, 702413, 702431, 702497, 702671, 704183, 704213, 704279, 704321, 704947, 705737, 706033, 706369, 707117, 707177, 707197, 707249, 707261, 707429, 707573, 707711, 707717, 707753, 708859, 709447, 709663, 710483, 710627, 710777, 710779, 710977, 711499, 711707, 712067, 712739, 712973, 713927, 714199, 714919, 714991, 715439, 715789, 715879, 715943, 716447, 716663, 717293, 717589, 717923, 718043, 718579, 718759, 719149, 719237, 719419, 719723, 719941, 720257, 720413, 720497, 720527, 720617, 720947, 721043, 721379, 721397, 721739, 721793, 722459, 723791, 723917, 724079, 724259, 724783, 724837, 726071, 726107, 726701, 727049, 727061, 727409, 727483, 727843, 728437, 728743, 728839, 729173, 729371, 729713, 730003, 730111, 730421, 730603, 730669, 730757, 731363, 731729, 732041, 732197, 732889, 732971, 734021, 734159, 734537, 735143, 735341, 735419, 735431, 735473, 735491, 737129, 737291, 737507, 737921, 738247, 738401, 739217, 740123, 740279, 740321, 740749, 741467, 741593, 741803, 741991, 742031, 742783, 743159, 743573, 743591, 744761, 745133, 745337, 745391, 745733, 745931, 747049, 747283, 748273, 748301, 748499, 748723, 749027, 749153, 749351, 749939, 749993, 751343, 751879, 751943, 751987, 752207, 753143, 753341, 753437, 753707, 753743, 753941, 754133, 754337, 754373, 754463, 754931, 755057, 755077, 755569, 755707, 756443, 757307, 757343, 757433, 757507, 757819, 758179, 758971, 759431, 760693, 761207, 762017, 762529, 764471, 765229, 766039, 766163, 766361, 766877, 767867, 768767, 770177, 770179, 770261, 770449, 770537, 770557, 770573, 770771, 770971, 771079, 771293, 772061, 772139, 772391, 772843, 772913, 773057, 773453, 774283, 775037, 775057, 775189, 775343, 775507, 776201, 777011, 777071, 777109, 777677, 777901, 778667, 778951, 779231, 781043, 782389, 782473, 782839, 782983, 783247, 783829, 784103, 784327, 784723, 785809, 787243, 787519, 787667, 789571, 789823, 791419, 791543, 792317, 792371, 792713, 792731, 793721, 794119, 794153, 794191, 794207, 794399, 794407, 794531, 794993, 795187, 795871, 796063, 797581, 797701, 797851, 798517, 798751, 798823, 800029, 800209, 800441, 800533, 801419, 802421, 802531, 803053, 803251, 803417, 803741, 803963, 804119, 804191, 804281, 804317, 804371, 804449, 805033, 805213, 805451, 805789, 808421, 808579, 808597, 808681, 808957, 809141, 809587, 809929, 810149, 810253, 810419, 810437, 810473, 810941, 811199, 811919, 811991, 812011, 812101, 812503, 814019, 814631, 814901, 815261, 815599, 815621, 815681, 815977, 816121, 816251, 816341, 816521, 816581, 817403, 818561, 819911, 820241, 820243, 820481, 821053, 821101, 821459, 821651, 822667, 822889, 823051, 823747, 823789, 824081, 824591, 824773, 824801, 824843, 824951, 825161, 825301, 825491, 825611, 826151, 827347, 827389, 827473, 828379, 828397, 828407, 828829, 830363, 830503, 830639, 830693, 830741, 831407, 831461, 831889, 832477, 832747, 832879, 832987, 833593, 834107, 834277, 834611, 835663, 836833, 838363, 838589, 838633, 838927, 839353, 839603, 840137, 840223, 840713, 840821, 840911, 841019, 841091, 841259, 841307, 842021, 842081, 842087, 842159, 842203, 842483, 842519, 842801, 842951, 843701, 844001, 844463, 844643, 845129, 845219, 845921, 845989, 846113, 847031, 847103, 847237, 847499, 847949, 848201, 848423, 848599, 848959, 850033, 850303, 850879, 850897, 851203, 851261, 851797, 852013, 852031, 852149, 852301, 852563, 852589, 853339, 853663, 853889, 853933, 854129, 854899, 854921, 855199, 855401, 855919, 856181, 856811, 857809, 858161, 858259, 858709, 858899, 858989, 859849, 860333, 860393, 860663, 861121, 862229, 862553, 862627, 863309, 863833, 864131, 865121, 865211, 865253, 865363, 866353, 866777, 867677, 868081, 868151, 868801, 868867, 869303, 870341, 870413, 870431, 870589, 871597, 871957, 872437, 873247, 873427, 874103, 874301, 874723, 875089, 876677, 877423, 878239, 879283, 879449, 880247, 880421, 880427, 880681, 880861, 881983, 882047, 882289, 883279, 884201, 884243, 884423, 884959, 885097, 885161, 885389, 885529, 885611, 885839, 885893, 886511, 886867, 887059, 887923, 888061, 888319, 888359, 888809, 888931, 888959, 889237, 889327, 889589, 891559, 891577, 892387, 892783, 893603, 893881, 894011, 894521, 894589, 894749, 894947, 895087, 895159, 895241, 895333, 895421, 895591, 895771, 895889, 897157, 897517, 897571, 897751, 898327, 898459, 898549, 898813, 898853, 899209, 899447, 900019, 900091, 900149, 900491, 901009, 901193, 901333, 901841, 901931, 902299, 902477, 902639, 902963, 903269, 903443, 904019, 904181, 904727, 904811, 904901, 905111, 905599, 905959, 905999, 906293, 906329, 906383, 906673, 906923, 907427, 907447, 907663, 907717, 907999, 908363, 908857, 909113, 909289, 909401, 909599, 909829, 910139, 911039, 911341, 911413, 911749, 911819, 911903, 911947, 912773, 913457, 914131, 914357, 914791, 914801, 914971, 915437, 915589, 917237, 917327, 918041, 919013, 919031, 919147, 919301, 919417, 919811, 920477, 920963, 921241, 921737, 922099, 922457, 922549, 923177, 923599, 923959, 924527, 924529, 925399, 925663, 926309, 926411, 926903, 927137, 927317, 928099, 929029, 929063, 929209, 929809, 929953, 930119, 930191, 930269, 930667, 930863, 930911, 931303, 931727, 931901, 932177, 932609, 932887, 933301, 933853, 934111, 934403, 934517, 934799, 934979, 935147, 936029, 937127, 937721, 937949, 938533, 938827, 938881, 939011, 939749, 940019, 940477, 940727, 941009, 941131, 941179, 941221, 941537, 941573, 941753, 941791, 941971, 942257, 942527, 943043, 943157, 943403, 943571, 943751, 943799, 944077, 944897, 944987, 945227, 945731, 947027, 947119, 947351, 947407, 947911, 948749, 948947, 949001, 949171, 949937, 949973, 950111, 950959, 951101, 951437, 951589, 951787, 951859, 952229, 952247, 952429, 952481, 953929, 954229, 954713, 955657, 955819, 955891, 957413, 957431, 957871, 958159, 958333, 958519, 958807, 958849, 958883, 959099, 960293, 960329, 960383, 960637, 960763, 960833, 961241, 962257, 962309, 962653, 962903, 963607, 965227, 965623, 966307, 970247, 970447, 970999, 971077, 971149, 971237, 971273, 971419, 971491, 971723, 971857, 972047, 972137, 972407, 974489, 974513, 974531, 974849, 975187, 977107, 978157, 978283, 978449, 979439, 980299, 980363, 980587, 981577, 982099, 982783, 982909, 983063, 983533, 983881, 984497, 984749, 984859, 984947, 985177, 985519, 985807, 985951, 988237, 988459, 988549, 988583, 988859, 989029, 990001, 990289, 990559, 990599, 990799, 991031, 991147, 991181, 991741, 991811, 992359, 992539, 992603, 992809, 993011, 993479, 994711, 994793, 995329, 995909, 997099, 997141, 997439, 998029, 998111, 998551, 999437, 999529, 999907

4

113, 131, 311, 353, 461, 641, 661, 883, 1013, 1031, 1103, 1301, 1451, 1471, 1697, 1741, 2111, 3011, 3347, 3659, 4337, 4373, 4733, 5303, 5639, 5693, 6197, 6359, 6719, 6791, 6917, 6971, 7411, 7433, 7691, 8803, 10103, 10211, 10301, 11003, 11047, 12011, 12101, 13001, 14051, 14071, 14107, 15401, 16097, 17041, 17401, 17609, 21011, 21101, 25589, 28559, 30011, 30347, 34703, 35069, 40151, 41017, 41051, 43037, 47303, 50033, 50411, 52859, 53003, 53069, 53609, 54011, 54101, 55829, 56039, 56093, 59063, 60041, 60539, 60601, 60719, 60917, 60953, 63059, 65309, 67901, 70141, 70619, 71069, 73043, 74101, 76091, 79601, 80803, 82559, 85259, 88003, 90617, 95063, 95603, 96017, 96053, 100103, 100417, 100741, 100769, 101021, 102101, 103001, 104107, 104701, 105401, 106907, 107069, 107609, 112223, 114641, 114689, 114797, 115589, 115859, 116681, 116849, 117497, 118661, 119747, 120011, 121001, 121283, 122231, 122321, 122323, 123553, 123821, 125353, 128213, 128321, 128389, 128983, 138289, 138829, 140071, 141461, 141689, 144161, 144611, 146141, 146819, 146891, 147179, 147197, 148691, 148961, 149717, 149771, 149861, 150041, 150401, 152533, 153523, 154001, 155453, 155569, 155891, 158519, 158591, 160079, 160709, 160907, 165559, 167009, 168491, 169007, 170609, 171161, 171947, 174197, 174917, 179471, 182123, 182389, 182839, 182893, 183289, 183829, 185519, 185951, 186149, 186161, 186419, 189823, 190607, 191747, 192883, 194681, 194717, 194771, 194861, 195581, 197147, 197741, 198461, 198641, 198823, 201011, 201101, 205589, 210011, 210101, 211283, 212123, 212183, 213223, 213281, 213553, 213821, 215353, 218213, 218389, 218839, 221233, 221813, 221831, 222113, 222311, 222779, 222823, 222977, 223211, 223633, 224423, 226553, 227729, 227893, 228113, 228131, 228223, 228311, 228443, 228793, 229727, 229837, 231223, 231821, 232363, 232633, 232811, 232987, 233221, 233551, 233663, 235513, 236323, 237883, 238729, 238837, 239287, 242243, 242483, 244463, 246641, 248243, 251353, 251533, 253153, 253531, 255133, 255313, 262553, 262883, 263323, 264443, 266333, 268283, 268823, 272927, 272983, 273289, 278329, 279823, 281321, 281839, 281893, 282311, 282683, 282973, 283121, 283211, 283837, 283873, 284243, 284423, 287239, 287383, 288733, 288913, 288931, 289273, 289381, 292727, 292837, 293827, 298237, 298327, 298723, 300347, 300569, 300743, 305069, 312281, 312553, 318289, 321221, 321553, 321821, 321889, 322213, 322633, 323623, 325153, 325513, 326323, 326633, 327289, 327829, 328121, 328837, 328891, 328981, 330047, 332221, 332263, 332623, 332887, 333479, 333497, 334379, 334793, 334973, 336223, 336263, 337349, 338287, 340037, 340073, 343379, 345551, 347003, 347933, 349337, 349373, 350003, 354551, 355321, 355541, 355853, 360509, 362233, 362363, 362633, 372289, 372829, 373349, 373943, 378229, 378283, 378823, 379343, 379433, 381221, 381289, 382189, 382729, 382873, 388237, 388273, 389227, 392827, 393473, 394733, 397433, 398227, 398821, 400151, 400601, 400711, 401017, 403037, 403703, 405011, 410701, 411007, 411641, 411779, 414611, 415553, 417719, 418169, 418961, 422243, 424223, 424661, 426641, 442283, 442823, 444443, 444623, 446111, 446261, 449699, 450011, 450101, 451553, 455513, 455531, 461411, 461819, 461891, 462443, 462641, 464621, 464999, 468191, 469811, 470303, 471179, 471719, 471791, 481619, 482243, 482423, 486119, 489161, 493733, 494699, 496499, 496949, 497117, 497171, 497711, 498611, 499649, 500369, 500693, 501401, 503003, 503609, 504011, 506903, 508259, 509063, 509603, 510401, 511859, 512353, 514001, 515233, 515323, 518159, 519581, 520589, 521533, 523351, 525313, 525809, 528509, 530609, 531253, 532153, 532531, 535123, 538553, 540101, 541001, 543551, 550289, 551233, 551543, 551569, 551659, 551981, 552089, 552263, 552809, 553123, 553583, 554531, 555143, 555383, 555691, 556159, 556519, 558029, 558209, 558533, 559561, 560039, 560093, 561559, 563009, 565519, 566659, 569003, 580259, 580529, 582509, 585119, 585911, 591581, 595181, 598151, 600359, 600401, 600601, 600791, 601079, 604001, 605039, 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8742169, 8743261, 8743597, 8743621, 8746921, 8747539, 8748893, 8749357, 8749753, 8752421, 8752993, 8753947, 8754397, 8756263, 8756623, 8757943, 8759347, 8761243, 8761429, 8762653, 8763241, 8764321, 8766523, 8766811, 8775439, 8780323, 8784983, 8786611, 8787227, 8789483, 8789843, 8793259, 8794573, 8795329, 8795473, 8796241, 8796421, 8797543, 8798483, 8799253, 8801293, 8801329, 8802373, 8802883, 8802931, 8803129, 8803237, 8807233, 8809123, 8810239, 8811667, 8813029, 8816671, 8817661, 8819023, 8820139, 8820193, 8820373, 8820733, 8821093, 8822063, 8822629, 8823019, 8823307, 8824667, 8826023, 8826229, 8827727, 8829031, 8830273, 8830291, 8831209, 8834789, 8836453, 8839021, 8843563, 8843789, 8844863, 8846353, 8846483, 8846627, 8847389, 8848379, 8848739, 8848937, 8849387, 8849783, 8849837, 8853463, 8862229, 8862467, 8863453, 8864267, 8866171, 8866427, 8868443, 8868689, 8871661, 8873489, 8873849, 8876611, 8877227, 8878349, 8880283, 8882803, 8887493, 8888023, 8888669, 8893021, 8893487, 8894783, 8901461, 8902183, 8902381, 8905151, 8906411, 8910283, 8915299, 8918023, 8919259, 8921467, 8921599, 8921959, 8922307, 8922703, 8923207, 8923801, 8925739, 8925793, 8926147, 8926417, 8927203, 8927461, 8927539, 8927593, 8927641, 8929537, 8929951, 8930227, 8932597, 8932801, 8933563, 8935363, 8937457, 8939257, 8939527, 8940161, 8940611, 8941061, 8942671, 8942761, 8946101, 8947753, 8948837, 8950511, 8951051, 8952973, 8953729, 8953927, 8954773, 8956333, 8957743, 8959219, 8959273, 8959921, 8961041, 8961401, 8962741, 8964127, 8964217, 8964721, 8967241, 8972023, 8972203, 8973259, 8975293, 8975437, 8976421, 8982013, 8983201, 8983847, 8984783, 8987483, 8988437, 8991529, 8992519, 9006071, 9011747, 9014861, 9015581, 9016481, 9016841, 9017741, 9023827, 9027283, 9028273, 9028381, 9037433, 9041861, 9043733, 9044699, 9046949, 9055181, 9055561, 9055811, 9060071, 9060503, 9064949, 9065003, 9071471, 9072227, 9074711, 9081461, 9082273, 9082813, 9082831, 9083281, 9083821, 9084161, 9084611, 9085151, 9086411, 9087223, 9088231, 9094469, 9094649, 9100067, 9101747, 9102883, 9104177, 9105851, 9106007, 9106481, 9107741, 9108461, 9111533, 9112349, 9112529, 9113249, 9114239, 9114293, 9114673, 9115229, 9115331, 9117463, 9121439, 9121493, 9121529, 9122159, 9125497, 9125899, 9125989, 9126487, 9126847, 9127927, 9128803, 9129277, 9129457, 9131429, 9132491, 9133151, 9134291, 9134617, 9135311, 9136147, 9136417, 9136741, 9137641, 9139393, 9140717, 9140861, 9141367, 9141673, 9141707, 9141763, 9142391, 9143291, 9146713, 9147163, 9147529, 9147613, 9148267, 9149527, 9150851, 9152291, 9152497, 9152947, 9153311, 9154297, 9154729, 9154927, 9156611, 9157249, 9159247, 9159289, 9159427, 9160007, 9161437, 9161473, 9163417, 9163741, 9164317, 9164731, 9166511, 9167143, 9167341, 9168041, 9168427, 9169619, 9170417, 9172279, 9172297, 9173641, 9175249, 9175429, 9177041, 9179227, 9180641, 9182599, 9184601, 9185051, 9185299, 9186427, 9189529, 9191243, 9191423, 9192277, 9192413, 9192431, 9192727, 9193241, 9193339, 9193421, 9194231, 9194527, 9195289, 9195427, 9196169, 9196961, 9199661, 9201883, 9202873, 9203287, 9207227, 9207823, 9208813, 9208831, 9211259, 9211529, 9212977, 9213419, 9214319, 9214687, 9214759, 9214913, 9214957, 9215497, 9216847, 9218647, 9219277, 9219341, 9219589, 9220873, 9221519, 9221951, 9225119, 9225191, 9225911, 9227083, 9227791, 9227797, 9227917, 9228073, 9229177, 9231419, 9232807, 9235987, 9238081, 9238597, 9238759, 9239141, 9241579, 9241957, 9245791, 9247519, 9248761, 9249113, 9249157, 9249571, 9251219, 9251479, 9253789, 9253879, 9257419, 9257491, 9257839, 9257893, 9258793, 9258919, 9259121, 9259387, 9259819, 9259837, 9261487, 9263669, 9264547, 9264817, 9266639, 9268741, 9270823, 9271279, 9271459, 9271729, 9272797, 9274861, 9275839, 9275983, 9276481, 9277297, 9277729, 9277921, 9278539, 9278953, 9279451, 9279583, 9281647, 9281959, 9282037, 9282307, 9283759, 9283801, 9285379, 9285919, 9285973, 9287203, 9287539, 9289573, 9291251, 9291277, 9291521, 9291859, 9292177, 9292771, 9294517, 9295147, 9295417, 9297217, 9297271, 9297583, 9297721, 9297853, 9298591, 9298753, 9303347, 9307343, 9308227, 9308281, 9311249, 9311429, 9312491, 9313511, 9316147, 9319241, 9320287, 9324911, 9328027, 9331151, 9333407, 9334477, 9334747, 9335111, 9335863, 9336583, 9336853, 9339139, 9339193, 9339391, 9341291, 9341617, 9343073, 9343703, 9343969, 9346171, 9346399, 9347033, 9347587, 9349211, 9351113, 9357289, 9357847, 9358633, 9358747, 9362669, 9363499, 9366629, 9369439, 9372859, 9374033, 9374303, 9374347, 9374437, 9374611, 9374857, 9375829, 9376141, 9377443, 9378547, 9380227, 9382027, 9382207, 9383653, 9385927, 9387457, 9388201, 9388487, 9394369, 9394963, 9396943, 9398527, 9399133, 9399463, 9403733, 9404699, 9406181, 9406949, 9407117, 9408611, 9409649, 9410861, 9411239, 9411293, 9411329, 9412597, 9412687, 9412759, 9412867, 9413167, 9416137, 9416287, 9416713, 9417071, 9417259, 9417361, 9417701, 9418267, 9419321, 9421597, 9421931, 9425719, 9426817, 9426871, 9429113, 9429131, 9429157, 9431167, 9431291, 9431671, 9431761, 9432119, 9432191, 9433477, 9433969, 9434377, 9436117, 9436667, 9436993, 9437303, 9437347, 9437437, 9437473, 9437611, 9439121, 9439211, 9440969, 9442567, 9443737, 9443773, 9446527, 9452197, 9452467, 9452719, 9452917, 9456247, 9457783, 9458377, 9459217, 9460811, 9461173, 9461371, 9461827, 9462457, 9463117, 9463171, 9464099, 9464909, 9465427, 9466763, 9468271, 9469409, 9470117, 9471107, 9471361, 9471701, 9472951, 9473161, 9473587, 9473857, 9474373, 9474733, 9476113, 9477011, 9477101, 9478883, 9481061, 9481601, 9485737, 9488837, 9491231, 9491257, 9492157, 9492311, 9493639, 9495127, 9496339, 9501851, 9510581, 9511661, 9512497, 9512947, 9512989, 9513113, 9514279, 9521129, 9521219, 9521497, 9522119, 9523897, 9524197, 9524467, 9524791, 9527149, 9527941, 9528793, 9529189, 9529837, 9533683, 9534787, 9536383, 9538279, 9541729, 9541927, 9542917, 9542971, 9546247, 9547129, 9549217, 9549721, 9555061, 9558011, 9561611, 9562447, 9566111, 9572389, 9572419, 9572839, 9573847, 9574129, 9574219, 9574387, 9577483, 9578329, 9581051, 9582919, 9583297, 9583363, 9583477, 9584737, 9585011, 9587239, 9587293, 9589219, 9589273, 9591289, 9592783, 9593827, 9594127, 9594217, 9594271, 9597421, 9598129, 9598921, 9604811, 9605551, 9610841, 9612847, 9614081, 9614827, 9615161, 9616151, 9616199, 9616991, 9617143, 9617431, 9618041, 9619691, 9621487, 9624871, 9626693, 9627481, 9627841, 9628147, 9631417, 9631471, 9633583, 9633853, 9639349, 9640811, 9641173, 9642817, 9644099, 9644909, 9646367, 9648011, 9648101, 9648127, 9648217, 9650551, 9651611, 9653383, 9654247, 9655501, 9656111, 9658333, 9661511, 9661919, 9661991, 9662693, 9663629, 9664367, 9666347, 9666473, 9666743, 9669623, 9672841, 9674281, 9674311, 9674663, 9676463, 9678241, 9681401, 9682147, 9684011, 9684721, 9687241, 9692663, 9694933, 9699161, 9699433, 9699611, 9700601, 9704711, 9706001, 9710147, 9711407, 9711643, 9712459, 9714163, 9714613, 9715429, 9716431, 9717401, 9721927, 9722179, 9725491, 9725839, 9727129, 9727219, 9727279, 9728023, 9729127, 9729217, 9729541, 9730433, 9732859, 9733043, 9733403, 9733447, 9734161, 9736411, 9738529, 9740117, 9741107, 9741163, 9741701, 9742591, 9742861, 9743161, 9743473, 9743611, 9743857, 9744373, 9745387, 9745783, 9746131, 9746311, 9747343, 9747583, 9748537, 9748883, 9749251, 9749521, 9752389, 9752983, 9754219, 9754837, 9757483, 9758473, 9758743, 9763141, 9764281, 9764663, 9771401, 9772129, 9772219, 9778543, 9782953, 9783547, 9784261, 9784573, 9785239, 9785329, 9787543, 9789523, 9792217, 9792271, 9792583, 9795421, 9801461, 9801641, 9802381, 9803281, 9804161, 9808231, 9810551, 9810641, 9812599, 9814061, 9814601, 9818023, 9820381, 9821599, 9823027, 9823207, 9823579, 9824671, 9824761, 9825379, 9826417, 9827023, 9827203, 9827953, 9828031, 9829591, 9829951, 9832027, 9832597, 9834757, 9835297, 9835729, 9838021, 9838487, 9839257, 9839527, 9841627, 9842617, 9842761, 9846101, 9846217, 9846271, 9846721, 9851929, 9852937, 9852991, 9853633, 9855011, 9857293, 9857347, 9860141, 9861041, 9862417, 9864011, 9864721, 9865333, 9867241, 9872641, 9874537, 9875293, 9875347, 9877453, 9878483, 9881023, 9881203, 9882013, 9883201, 9883487, 9884783, 9892159, 9892573, 9892591, 9892951, 9895723, 9897253, 9904649, 9911669, 9912143, 9912251, 9912277, 9912521, 9912589, 9913933, 9915289, 9915427, 9916169, 9916619, 9916691, 9921341, 9921521, 9922151, 9922777, 9924113, 9924157, 9924751, 9925147, 9925189, 9925387, 9925471, 9925837, 9925873, 9925891, 9927217, 9927583, 9928159, 9928537, 9928591, 9929851, 9931393, 9932141, 9932411, 9934121, 9934963, 9936349, 9936439, 9938527, 9939463, 9941257, 9942311, 9942571, 9943369, 9943693, 9944069, 9946049, 9946393, 9946933, 9947251, 9947521, 9951829, 9952121, 9952417, 9952471, 9952981, 9953287, 9958129, 9958237, 9958723, 9961961, 9964049, 9966191, 9966263, 9966623, 9969161, 9969611, 9972451, 9972583, 9982591, 9983527, 9987253, 9994363

5

14549, 25583, 41549, 44159, 44519, 45491, 49451, 51449, 52583, 54419, 54941, 55823, 56857, 58567, 58657, 59441, 65587, 85523, 94541, 95441, 104459, 104549, 105449, 140549, 154409, 174443, 208553, 222647, 224267, 226427, 226487, 228647, 242867, 247879, 248267, 248627, 248779, 248797, 250583, 250853, 255083, 255803, 264827, 277889, 278479, 278497, 278879, 278947, 279847, 284267, 286427, 287789, 289477, 294787, 297487, 298477, 341447, 344417, 347887, 355969, 356959, 374441, 374887, 388477, 404951, 405491, 414347, 415409, 422267, 422627, 422867, 426287, 427789, 427879, 428797, 428977, 431447, 434471, 438877, 440159, 443147, 444173, 444713, 445019, 445091, 449051, 454109, 462827, 469969, 473441, 473887, 474143, 474413, 478729, 478927, 479287, 482627, 483787, 487387, 487783, 487873, 490541, 494051, 495041, 495401, 497999, 499669, 499979, 504149, 505283, 505823, 505867, 508567, 509441, 510449, 514049, 520853, 528053, 540149, 541049, 544109, 550283, 553699, 556399, 556939, 558067, 558203, 559369, 559639, 563599, 585023, 586057, 594401, 595963, 596593, 622247, 628427, 635599, 635959, 649969, 655087, 655399, 655807, 658057, 658507, 659539, 682247, 682427, 685057, 687787, 688777, 695593, 699469, 699649, 714443, 724879, 728947, 734887, 738487, 738847, 742789, 742897, 744431, 747829, 748387, 748729, 768787, 774289, 776887, 777989, 778979, 779879, 782497, 783487, 784387, 784837, 787289, 787429, 787483, 788677, 788927, 789977, 792487, 794999, 797897, 797987, 799949, 805523, 824779, 824977, 827987, 828797, 828977, 829877, 834787, 837847, 842267, 842627, 842977, 847279, 847729, 848737, 849727, 850253, 850567, 855067, 855203, 855607, 856057, 856507, 865057, 872479, 872749, 872789, 872947, 874387, 874729, 874873, 876787, 877843, 877867, 877997, 878279, 878677, 878743, 879247, 879287, 879797, 882779, 886777, 887743, 889727, 892747, 892877, 894277, 897779, 898727, 924877, 927847, 928787, 942787, 946969, 949979, 949997, 955693, 955963, 956953, 963559, 964969, 965953, 966499, 972847, 972887, 974999, 977897, 978287, 978427, 978797, 979787, 979949, 987797, 988727, 989777, 994997, 996649, 997877, 997949, 999749, 1044347, 1044437, 1044509, 1045409, 1050449, 1054049, 1113599, 1115399, 1115993, 1116419, 1116491, 1116893, 1119359, 1119863, 1122263, 1122269, 1122427, 1122533, 1122623, 1125323, 1131113, 1131131, 1131869, 1131959, 1135643, 1135919, 1136567, 1136819, 1136981, 1138961, 1139519, 1139681, 1139861, 1139951, 1143563, 1143589, 1145983, 1146533, 1146911, 1148359, 1148593, 1151399, 1151993, 1152233, 1153199, 1153223, 1153463, 1153643, 1153849, 1154633, 1154893, 1156343, 1156367, 1156637, 1159139, 1159843, 1161893, 1162223, 1162229, 1163189, 1163543, 1163891, 1164533, 1167653, 1168319, 1168931, 1169183, 1169381, 1169411, 1181963, 1183961, 1184539, 1185439, 1185493, 1186931, 1188263, 1189163, 1189361, 1189453, 1189613, 1189631, 1191539, 1194161, 1195193, 1195483, 1196141, 1196813, 1198361, 1199351, 1212427, 1213253, 1218683, 1221247, 1221427, 1221533, 1222471, 1223351, 1224217, 1224271, 1225331, 1226213, 1226321, 1227241, 1232351, 1232531, 1233251, 1235321, 1236449, 1238681, 1238843, 1242217, 1242271, 1243883, 1246943, 1248383, 1248833, 1249643, 1251323, 1252331, 1261223, 1262231, 1262291, 1262321, 1269221, 1272421, 1284383, 1286381, 1288163, 1288361, 1288613, 1292261, 1311131, 1311311, 1311599, 1311689, 1312523, 1314563, 1315463, 1315849, 1316657, 1318169, 1318459, 1318549, 1319861, 1319951, 1322261, 1322621, 1324649, 1325123, 1326449, 1326881, 1328843, 1328861, 1332251, 1334561, 1334651, 1335461, 1335641, 1340447, 1342883, 1343651, 1344407, 1345361, 1346249, 1348951, 1351199, 1351667, 1351919, 1351991, 1352123, 1353221, 1353641, 1354361, 1354819, 1354981, 1356143, 1356167, 1356431, 1356671, 1357661, 1358491, 1361453, 1363541, 1364351, 1365167, 1365431, 1365761, 1366517, 1368119, 1368281, 1368911, 1381459, 1382681, 1382861, 1384951, 1385149, 1386821, 1388243, 1391519, 1391861, 1395481, 1398161, 1398451, 1398541, 1398611, 1404059, 1404437, 1404743, 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6

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7

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74371441, 74374411, 74411347, 74411437, 74413147, 74413741, 74414731, 74431741, 74441371, 74447311, 74473411, 74474131, 74714413, 74734141, 74734411, 74741143, 74741413, 74741431, 74744311, 77013193, 77019133, 77031139, 77031319, 77033119, 77033191, 77101933, 77103391, 77109313, 77110339, 77110933, 77113093, 77130913, 77134441, 77139103, 77190133, 77193031, 77301391, 77310319, 77310913, 77330119, 77331091, 77331109, 77331901, 77341441, 77390311, 77414143, 77434411, 77443141, 77444113, 77444131, 77903113, 77903311, 77930113, 77930131, 77931013, 77931031, 78088181, 78088811, 78188081, 78808811, 78810881, 78818081, 78818801, 78880811, 78881801, 79013173, 79013713, 79031137, 79031713, 79071133, 79073131, 79103317, 79110373, 79113037, 79130137, 79130713, 79131037, 79137031, 79137103, 79171033, 79173013, 79301137, 79301371, 79301713, 79303117, 79303171, 79307113, 79310317, 79310713, 79311703, 79313071, 79313701, 79317013, 79317031, 79317103, 79330117, 79330171, 79331701, 79371013, 79371301, 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90773311, 91031737, 91033177, 91033717, 91037137, 91071733, 91073713, 91103737, 91114399, 91130773, 91134919, 91134991, 91137073, 91139149, 91149193, 91173073, 91177033, 91191439, 91193149, 91194139, 91194193, 91194391, 91301737, 91303717, 91307137, 91307317, 91311949, 91313707, 91330177, 91337017, 91349119, 91349911, 91370731, 91371037, 91371307, 91373701, 91431199, 91431919, 91489949, 91491193, 91491319, 91498499, 91499131, 91499311, 91703137, 91703317, 91730713, 91730731, 91731037, 91733107, 91737031, 91770313, 91771033, 91894949, 91913491, 91919413, 91931419, 91934911, 91939411, 91941139, 91941193, 91943119, 91943911, 91944989, 91948499, 91948949, 91993141, 91993411, 91994113, 91994849, 91998449, 93013717, 93017713, 93017731, 93031177, 93037171, 93071371, 93073711, 93103177, 93107713, 93107731, 93113077, 93114919, 93117307, 93130717, 93131707, 93137017, 93141991, 93170137, 93170317, 93170713, 93171037, 93171703, 93173071, 93191491, 93301177, 93307171, 93311707, 93377101, 93701137, 93701173, 93701317, 93701371, 93701731, 93703171, 93707311, 93711073, 93713071, 93713107, 93713701, 93717031, 93717301, 93730171, 93730711, 93731017, 93737101, 93771103, 93773011, 93941119, 93994111, 94113919, 94113991, 94119931, 94139119, 94139911, 94184999, 94189499, 94191193, 94191319, 94191931, 94198499, 94199489, 94311199, 94391119, 94399111, 94489919, 94489991, 94498919, 94498991, 94499189, 94499891, 94499981, 94819499, 94891499, 94894991, 94899419, 94911319, 94939111, 94941989, 94984199, 94984919, 94991131, 94991489, 97013731, 97031317, 97031713, 97033117, 97037131, 97101373, 97103173, 97103731, 97107133, 97107331, 97110733, 97173031, 97173103, 97173301, 97301713, 97303117, 97307131, 97310137, 97311307, 97313017, 97317013, 97330171, 97370311, 97371103, 97703113, 97703311, 97713103, 97730131, 97731031, 98144999, 98441999, 98491499, 98914499, 98944991, 98949491, 98991449, 98999441, 99111349, 99113149, 99114319, 99114391, 99119341, 99119413, 99141139, 99141319, 99141391, 99143911, 99144989, 99148949, 99149131, 99149489, 99184499, 99184949, 99191431, 99193141, 99194311, 99311419, 99311491, 99314191, 99319141, 99319411, 99349111, 99411139, 99439111, 99484199, 99489941, 99491311, 99491849, 99498419, 99498941, 99499481, 99841499, 99849149, 99849941, 99914849, 99931411, 99941131, 99943111, 99944891, 99944981, 99948941, 99984149, 99984491, 99994481, 99998441

8

11221211, 12111221, 12121121, 12121211, 12122111, 12212111, 21112121, 21121211, 21122111, 21212111, 22111121, 22225699, 22226959, 22252969, 22262599, 22269529, 22292659, 22296259, 22526299, 22529629, 22562299, 22562929, 22622599, 22622959, 22625299, 22629259, 22695229, 22925269, 22925629, 22926259, 22956229, 22962259, 25222699, 25222969, 25262299, 25292269, 25622929, 25629229, 25922269, 25922629, 26229529, 26252299, 26522929, 26952229, 29222659, 29252269, 29622529, 29652229, 52226929, 52229269, 52229629, 52269229, 52292269, 52922629, 59226229, 62222959, 62225299, 62225929, 62295229, 62952229, 65222299, 65222929, 65292229, 69225229, 92225269, 92252269, 92262529, 92526229, 92622529, 92625229, 95222629, 96225229, 96252229, 101122121, 101211221, 101212211, 102112121, 102112211, 102121211, 102211121, 102212111, 110112221, 110122121, 110122211, 110212121, 110221211, 111012221, 111102221, 111120221, 111122201, 111201221, 111202121, 111212021, 111212201, 111222011, 112021121, 112022111, 112101221, 112102121, 112110221, 112112201, 112121201, 112201211, 112210121, 120112121, 120121121, 120122111, 120211121, 121012211, 121021211, 121121201, 121122011, 121211021, 122021111, 122101121, 122101211, 122102111, 122110211, 122111021, 122120111, 122201111, 122210111, 132444443, 134444243, 142344443, 143442443, 144243443, 144244343, 144424433, 144442433, 201111221, 201112211, 202211111, 202252969, 202259269, 202265929, 202592629, 202652929, 202659229, 202925269, 202926259, 205226929, 205926229, 206229259, 209226529, 210112211, 210211121, 211101221, 211102121, 211121021, 211122011, 211122101, 211201121, 211212011, 211212101, 212101121, 212110121, 212110211, 212210111, 212211101, 214434443, 220111211, 220112111, 220225699, 220256929, 220259269, 220262599, 220692259, 220925629, 220926529, 220962529, 221012111, 221021111, 221101211, 221111021, 221120111, 221210111, 222056929, 222069259, 222092569, 222092659, 222111011, 222206599, 222259069, 222290569, 222290659, 222509629, 222609259, 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262922059, 262950229, 265022929, 265029229, 265092229, 265220299, 265222099, 265290229, 265920229, 269220529, 269222509, 269252209, 290225269, 290226529, 290252269, 290562229, 290625229, 292022659, 292026529, 292205629, 292226059, 292502269, 292520269, 292620259, 292620529, 292622509, 295206229, 295222069, 295226209, 295262029, 295622209, 296520229, 296522029, 314424443, 323444441, 324344441, 324444143, 324444413, 334444241, 341442443, 341444423, 342344441, 342434441, 342441443, 343244441, 343442441, 344244143, 344414423, 344423441, 344434241, 344441243, 344444213, 413244443, 413444243, 414244433, 414344243, 421443443, 421444343, 423144443, 423414443, 423443441, 424134443, 424334441, 424341443, 424343441, 424344143, 424344413, 424444331, 432434441, 432444431, 433424441, 433444241, 434124443, 434243441, 434244431, 434424413, 434434421, 434442143, 434443241, 434444123, 441243443, 441423443, 441424343, 441424433, 441434243, 441442433, 441443243, 441444323, 442144343, 442343441, 442344143, 442344431, 442413443, 442433441, 442434341, 442434413, 442434431, 442443413, 443244143, 443244413, 443342441, 443423441, 443442341, 443443241, 443444213, 443444231, 444124433, 444142343, 444234341, 444244313, 444324431, 444343241, 444344123, 444344213, 444412343, 444423143, 444423431, 444424313, 444432341, 444432431, 444441323, 444442331, 502222969, 502292629, 502622299, 502629229, 506222929, 506292229, 509622229, 520262299, 520622299, 520622929, 520692229, 522026299, 522029269, 522092629, 522202699, 522202969, 522209269, 522226909, 522262099, 522602299, 522620299, 522620929, 522622909, 522629209, 522906229, 526022929, 526290229, 526292209, 529026229, 529202629, 529220269, 529260229, 562202929, 562222099, 562229029, 562922209, 590226229, 590262229, 592222069, 592226209, 602229259, 602292259, 602522929, 602922259, 605222929, 609252229, 620222599, 620225299, 620229529, 620522299, 620922259, 620925229, 622022959, 622092259, 622202599, 622220959, 622225099, 622250929, 622292059, 622520929, 622529209, 622590229, 625209229, 625222099, 625292209, 629220259, 629222059, 629250229, 629502229, 650222929, 650292229, 650922229, 652022299, 652222099, 652229209, 659022229, 659222029, 666868883, 666888683, 668866883, 686668883, 686686883, 686868863, 688668683, 688686683, 688866683, 688886663, 690522229, 692222059, 692522029, 866686883, 868686683, 886668683, 888686663, 888866663, 902222569, 902226529, 902252629, 902262259, 905222629, 906222529, 920225629, 920226529, 920252269, 920262529, 920625229, 922056229, 922205269, 922226059, 922226509, 922506229, 922522609, 922625029, 925022269, 925022629, 925222609, 925262029, 926022259, 926025229, 926205229, 926225029, 926252209, 926520229, 926522209, 952262029, 952262209, 952602229, 952622029, 960222259, 962220529, 962222509, 962225029, 965022229, 965222029

9

1113997, 1117939, 1117993, 1119397, 1119793, 1131799, 1131997, 1137919, 1137991, 1139197, 1139917, 1171399, 1173199, 1179193, 1179319, 1191739, 1191793, 1191937, 1191973, 1193971, 1197193, 1199137, 1199371, 1311799, 1319719, 1319917, 1371991, 1391917, 1397119, 1711399, 1711993, 1713919, 1719931, 1731199, 1731991, 1739911, 1791193, 1791319, 1793119, 1799311, 1911937, 1913719, 1913917, 1917931, 1939117, 1939711, 1973911, 1991137, 1993711, 1997311, 3117991, 3119197, 3171199, 3191179, 3191197, 3191719, 3199117, 3199171, 3711199, 3719119, 3791911, 3799111, 3911179, 3917119, 3919171, 3919711, 3971119, 3971911, 3991711, 3997111, 7111399, 7119139, 7119193, 7131199, 7191193, 7191319, 7191931, 7199113, 7311991, 7319119, 7391911, 7911193, 7913911, 7919311, 7991311, 9113719, 9113791, 9117139, 9117391, 9117931, 9119713, 9119731, 9131791, 9131917, 9137911, 9171913, 9179113, 9179311, 9197131, 9311179, 9311719, 9311791, 9311917, 9317911, 9371191, 9711319, 9713911, 9719113, 9739111, 9793111, 9911173, 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79311109, 79311901, 79901113, 79910113, 79911031, 79913101, 79931011, 90111793, 90113971, 90117319, 90131719, 90171931, 90173191, 90311197, 90311791, 90317191, 90371119, 90371191, 90379111, 90711193, 90713911, 90719131, 90731119, 90731191, 90791131, 90911173, 90913117, 90917311, 90931117, 91011793, 91013719, 91017931, 91031179, 91031197, 91031971, 91039171, 91073119, 91073911, 91079113, 91091137, 91091731, 91093117, 91097311, 91101739, 91101937, 91103179, 91103791, 91107193, 91107931, 91110379, 91130719, 91131097, 91131709, 91139071, 91170193, 91171039, 91179031, 91190371, 91190713, 91193017, 91193107, 91301179, 91301719, 91307191, 91309171, 91310917, 91310971, 91311907, 91317091, 91370119, 91371109, 91391701, 91701319, 91701913, 91701931, 91703119, 91709311, 91710391, 91731091, 91731109, 91739101, 91790131, 91791103, 91793101, 91901317, 91901731, 91903711, 91907131, 91910173, 91910317, 91911073, 91913071, 91930711, 91937011, 91971031, 93011197, 93071119, 93097111, 93109171, 93110197, 93110917, 93110971, 93111097, 93190711, 93191017, 93191107, 93197101, 93701119, 93709111, 93710191, 93901711, 97011319, 97031191, 97093111, 97101139, 97101391, 97101931, 97103119, 97110193, 97111039, 97111093, 97111309, 97113091, 97119031, 97130119, 97139011, 97139101, 97190113, 97190311, 97191013, 97191103, 97309111, 97310911, 99011173, 99031711, 99037111, 99071131, 99073111, 99101137, 99110173, 99111703, 99113071, 99113701, 99130117, 99130711, 99131107, 99170131, 99171103, 99171301, 99311701, 99371101, 99701131, 99710311, 99711013, 99711301, 100113997, 100117939, 100117993, 100137199, 100137991, 100139719, 100139971, 100171399, 100173919, 100173991, 100179193, 100191937, 100193179, 100199713, 100199731, 100311979, 100311997, 100317991, 100319917, 100391917, 100397191, 100711939, 100713199, 100719319, 100731991, 100793911, 100799311, 100911739, 100913971, 100917139, 100917913, 100917931, 100931179, 100937119, 100937191, 100971193, 100971319, 100971391, 100993117, 100997311, 101037199, 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