# A036057: Friedman numbers: can be written in a nontrivial way using their digits and the operations + - * / ^ and concatenation of digits (but not of results). # as per http://www2.stetson.edu/~efriedma/mathmagic/0800.html # Last revised 26 April 2010. 1 25 = 5^2 2 121 = 11^2 3 125 = 5^(1+2) 4 126 = 6 * 21 5 127 = - 1 + 2^7 6 128 = 2^(8-1) 7 153 = 3 * 51 8 216 = 6^(2+1) 9 289 = (8 + 9)^2 10 343 = (3 + 4)^3 11 347 = 7^3 + 4 12 625 = 5^(6-2) 13 688 = 8 * 86 14 736 = 7 + 3^6 15 1022 = 2^10 - 2 16 1024 = (4 - 2)^10 17 1206 = 6 * 201 18 1255 = 5 * 251 19 1260 = 6 * 210 20 1285 = (1 + 2^8) * 5 21 1296 = 6^((9-1)/2) 22 1395 = 15 * 93 23 1435 = 35 * 41 24 1503 = 3 * 501 25 1530 = 3 * 510 26 1792 = 7 * 2^(9-1) 27 1827 = 21 * 87 28 2048 = 8^4 / 2 + 0 29 2187 = (2 + 1^8)7 30 2349 = 29 * 3^4 31 2500 = 50^2 + 0 32 2501 = 50^2 + 1 33 2502 = 2 + 50^2 34 2503 = 50^2 + 3 35 2504 = 50^2 + 4 36 2505 = 50^2 + 5 37 2506 = 50^2 + 6 38 2507 = 50^2 + 7 39 2508 = 50^2 + 8 40 2509 = 50^2 + 9 41 2592 = 2^5 * 9^2 42 2737 = (2 * 7)^3 - 7 43 2916 = (1 * 6 * 9)^2 44 3125 = (3 + 1 * 2)^5 45 3159 = 9 * 351 46 3281 = (3^8 + 1) / 2 47 3375 = (3 + 5 + 7)^3 48 3378 = (7 + 8)^3 + 3 49 3685 = (3^6 + 8) * 5 50 3784 = 8 * 473 51 3864 = 3 * (- 8 + 6^4) 52 3972 = 3 + (9 * 7)^2 53 4088 = 8^4 - 8 - 0 54 4096 = (4 + 0 * 9)^6 55 4106 = 4^6 + 10 56 4167 = 4^6 + 71 57 4536 = 56 * 3^4 58 4624 = (64 + 4)^2 59 4628 = 68^2 + 4 60 5120 = 5 * 2^10 61 5776 = 76^(7-5) 62 5832 = (2 * 5 + 8)^3 63 6144 = 6 * 4^(4+1) 64 6145 = 6 * 4^5 + 1 65 6455 = (6^4 - 5) * 5 66 6880 = 8 * 860 67 7928 = 89^2 - 7 68 8092 = 90^2 - 8 69 8192 = 8 * 2^(9+1) 70 9025 = 95^2 + 0 71 9216 = 1 * 96^2 72 9261 = 21^(9-6) 73 10192 = 101^2 - 9 74 10201 = 101^2 + 0 75 10251 = 51 * 201 76 10255 = 5 * 2051 77 10368 = 8 * 6^(1+0+3) 78 10426 = 26 * 401 79 10521 = 21 * 501 80 10525 = 5 * 2105 81 10575 = 15 * 705 82 10824 = 104^2 + 8 83 10935 = 15 * 9^3 + 0 84 11025 = (110 - 5)^2 85 11163 = 3 * 61^(1+1) 86 11259 = 9 * 1251 87 11264 = 11 * 2^(6+4) 88 11439 = 9 * 31 * 41 89 11663 = 16 * 3^6 - 1 90 11664 = 1 * 1 * 6^6 / 4 91 11665 = 6^6 / (5 - 1) + 1 92 11844 = 84 * 141 93 11848 = 8 * 1481 94 11943 = 9 * (11^3 - 4) 95 12006 = 6 * 2001 96 12060 = 6 * 2010 97 12091 = 110^2 - 9 98 12100 = 110^2 + 0 99 12101 = 110^2 + 1 100 12102 = 110^2 + 2 101 12103 = 110^2 + 3 102 12104 = 110^2 + 4 103 12105 = 110^2 + 5 104 12106 = 110^2 + 6 105 12107 = 110^2 + 7 106 12108 = 110^2 + 8 107 12109 = 110^2 + 9 108 12167 = (16 + 7)^(1+2) 109 12288 = (1+2) * 8^(8/2) 110 12321 = (113 - 2)^2 111 12337 = 73 * 13^2 112 12384 = 3 * 4128 113 12493 = (4 + 9) * 31^2 114 12505 = 5 * 2501 115 12544 = (51 - 2) * 4^4 116 12546 = 51 * 246 117 12550 = 5 * 2510 118 12595 = 5 * 2519 119 12600 = 6 * 2100 120 12762 = 6 * 2127 121 12768 = 8 * 21 * 76 122 12769 = (96 + 17)^2 123 12798 = 2 * 79 * 81 124 12802 = 2 * (80^2 + 1) 125 12843 = 3 * 4281 126 12850 = (-1 + 2^8) * 50 127 12955 = 5 * 2591 128 12960 = 160 * 9^2 129 12964 = 14 * 926 130 12996 = (6 * (1 + 9 + 9))^2 131 13125 = 21 * 5^(3+1) 132 13176 = 61 * (7 - 1 )^3 133 13225 = (1 * 5 * 23)^2 134 13286 = 26 * (8^3 - 1) 135 13243 = 41 * 323 136 13496 = 4 * ((6 + 9)^3 - 1) 137 13545 = 3 * 4515 138 13689 = (9 * 13)^(8-6) 139 13725 = 5 * ((2 * 7)^3 + 1) 140 13764 = 6 * 31 * 74 141 13813 = (3 * 8)^3 - 11 142 13822 = (3 * 8)^(2+1) - 2 143 13823 = (3 * 8)3 - 2 + 1 144 13824 = (3 * 8)^(4+1-2) 145 13825 = 1 + (3 * 8)^(-2+5) 146 13826 = (18 + 6)^3 + 2 147 13832 = (3 + 21)^3 + 8 148 13842 = 24^3 + 18 149 13950 = 15 * 930 150 14035 = 35 * 401 151 14129 = 11^4 - 2^9 152 14168 = 11 * (6^4 - 8) 153 14175 = 7 * 45^(1+1) 154 14256 = (2 * 5 + 1) * 6^4 155 14350 = 35 * 410 156 14352 = 23 * (5^4 - 1) 157 14641 = (1+4+6)^(4*1) 158 14645 = (5 + 6)^4 + 4*1 159 14647 = (4 + 7)^4 + 6*1 160 15003 = 3 * 5001 161 15030 = 3 * 5010 162 15125 = 5 * (5 * 11)^2 163 15246 = 6 * 2541 164 15300 = 3 * 5100 165 15345 = 3 * 5 * (4^5 - 1) 166 15378 = 7 * (5 + 8)^3 - 1 167 15379 = 7 * (5 + 9 - 1)^3 168 15435 = 3 * 5145 169 15495 = 15 * (4^5 + 9) 170 15552 = (1^5 + 5)^5 * 2 171 15562 = 1 * 2 * (6^5 + 5) 172 15567 = 5^6 - 57 - 1 173 15568 = 5^6 - 58 + 1 174 15585 = 1 * (5^5 - 8) * 5 175 15586 = 5^6 - 5 * 8 + 1 176 15612 = - 1 + 5^6 - 12 177 15613 = 1 + 5^6 - 13 178 15615 = 5^6 - 5 * (1 + 1) 179 15617 = -1 + 5^6 - 1 * 7 180 15618 = 1 + 5^6 - 1 * 8 181 15620 = 5^6 - 10 / 2 182 15621 = -1 + 5^6 - 2 - 1 183 15622 = 1 + 5^6 - 2 - 2 184 15623 = -1 + 5^6 + 2 - 3 185 15624 = 1 + 5^6 + 2 - 4 186 15625 = 5^6 * 1^25 187 15626 = 1 + 5^(6*2-6) 188 15627 = 5^6 + 2 * 1^7 189 15628 = 5^6 + 8 / 2 - 1 190 15629 = 5^6 + (9 - 1) / 2 191 15631 = 5^6 + (1 + 1) * 3 192 15632 = 1 + 5^6 + 3 * 2 193 15633 = - 1 + 5^6 + 3 * 3 194 15634 = 5^6 + 13 - 4 195 15635 = 5^6 + 5 * (3 - 1) 196 15641 = 5^6 + 4^(1+1) 197 15642 = 1 + 5^6 + 4^2 198 15645 = 1* 5^6 + 4 * 5 199 15655 = 1 * 5 * (6 + 5^5) 200 15656 = 1 + 5^6 + 5 * 6 201 15661 = 5^6 + 6^(1+1) 202 15662 = 1 + 5^6 + 6^2 203 15667 = 1 * 5^6 + 6 * 7 204 15679 = 5^6 + 9 * (7 - 1) 205 15688 = -1 + 5^6 + 8 * 8 206 15689 = 5^6 + 8 * (9 - 1) 207 15697 = 5^6 + 9 * (7 + 1) 208 15698 = 1 + 5^6 + 9 * 8 209 15795 = 9 * 1755 210 15975 = 5 * 5 * 9 * 71 211 16225 = 6 * 52^2 + 1 212 16245 = 5 * (61 - 4)^2 213 16272 = 6 * 2712 214 16295 = (1 + 6)^5 - 2^9 215 16347 = 4^7 - 36 - 1 216 16348 = 4^8-1 - 36 217 16368 = 8 * 31 * 66 218 16372 = (1 + 3)^7 - 6 * 2 219 16374 = 4^7 - 1 - 6 - 3 220 16375 = (5 - 1)^7 - 6 - 3 221 16377 = (1 + 6 - 3)^7 - 7 222 16378 = (8 - 3 - 1)^7 - 6 223 16381 = (1 + 1)^(6+8) - 3 224 16382 = (3 - 1)^(6+8) - 2 225 16384 = 16^3 * (8 - 4) 226 16385 = (5 - 3)^(6+8) + 1 227 16447 = - 1 + 64 + 4^7 228 16448 = 4^(8-1) + 64 229 16479 = 4^7 + 96 - 1 230 16743 = 7^(6-1) - 4^3 231 16758 = 7^5 - 6 * 8 - 1 232 16759 = 7^5 - 6 * (9 - 1) 233 16765 = 7^5 - 6 * (6+1) 234 16783 = 7^(6-1) - 8 * 3 235 16794 = 7^(6-1) - 9 - 4 236 16797 = 7^6 / 7 - 9 - 1 237 16798 = 7^6 / (8 - 1) - 9 238 16807 = 7^(6-1) + 0 * 8 239 16815 = (1 + 6)^5 + 1 * 8 240 16875 = 1 * 68 + 7^5 241 16879 = 7^(6-1) + 8 * 9 242 17253 = (72 - 1) * 3^5 243 17325 = 75 * 231 244 17328 = 8 * (3^7 - 21) 245 17346 = 6 * 7 * 413 246 17368 = 8 * (3^7 - 16) 247 17384 = 8 * (3^7 - 14) 248 17428 = 2 * 8714 249 17437 = 47 * 371 250 17482 = 2 * 8741 251 17488 = 8 * (4 - 1)^7 - 8 252 17536 = 1 + 7^5 + 3^6 253 17689 = (7 * 19)^(8-6) 254 17856 = 8 * (5^6 - 1) / 7 255 17892 = 9 * 28 * 71 256 17920 = 70 * 2^9-1 257 17925 = 5 * (7 * 2^9 + 1) 258 18225 = 81 * 225 259 18265 = 65 * 281 260 18270 = 21 * 870 261 18432 = 18 * 4^(3+2) 262 18435 = 18 * 4^5 + 3 263 18522 = 2 * 21^(8-5) 264 18594 = 18 * (4^5 + 9) 265 18723 = 3 * (71 + 8)^2 266 18744 = 71 * (4^4 + 8) 267 19026 = 21 * 906 268 19215 = 21 * 915 269 19321 = 1 * 139^2 270 19392 = 3^9 - 291 271 19453 = 19 * 4^5 - 3 272 19592 = (5 - 2)^9 - 91 273 19629 = (1 + 2)^9 - 6 * 9 274 19642 = (6 / 2)^9 - 41 275 19653 = 3^9 - 1 * 5 * 6 276 19682 = (6 / 2)^9 - 1^8 277 19683 = 1 * (9 - 6)^8 * 3 278 19684 = (6 * 4 / 8)^9 + 1 279 19692 = (6 / 2)^9 + 9 * 1 280 19693 = (6 - 3)^9 + 1 + 9 281 19732 = 3^9 + 1 * 7^2 282 19734 = 3 * (9^4 + 17) 283 19736 = 9 * (3^7 + 6) - 1 284 19737 = 9 * (3^7 + 7 - 1) 285 19738 = 3^9 + 7 * 8 - 1 286 19739 = (- 1 + 9) * 7 + 3^9 287 19773 = 9 * (7 + 7 - 1)^3 288 19845 = 5 * 49 * 81 289 20485 = 5 * (2^0 + 8^4) 290 20736 = (2 * 6)^(7-3) + 0 291 21175 = 7 * (5 * 11)^2 292 21375 = 3 * 7125 293 21495 = 21 * 4^5 - 9 294 21504 = 21 * 4^5 + 0 295 21586 = 86 * 251 296 21606 = 6 * (60^2 + 1) 297 21753 = 3 * 7251 298 21843 = (4^8 - 1) / 3 - 2 299 21844 = (4^8 - 4) / (1 + 2) 300 21845 = (4^8 - 1) / (5 - 2) 301 21848 = (4^8 + 8) / (1 + 2) 302 21870 = 27 * 810 303 21875 = 7 * (8 - 2 - 1)^5 304 21943 = (2 * 14)^3 - 9 305 21952 = (29 - 1)^(5-2) 306 21953 = (2 * (5 + 9))^3 + 1 307 22264 = 46 * 22^2 308 22528 = 22 * (8 / 2)^5 309 22757 = 7 * (57^2 + 2) 310 23326 = 3 * 6^(2+3) - 2 311 23328 = (2 * 3^3)^2 * 8 312 23392 = 32 * (9^3 + 2) 313 23456 = 2^5 * (3^6 + 4) 314 23490 = 290 * 3^4 315 23546 = 23 * 4^5 - 6 316 23548 = (3 + 4) * 58^2 317 23552 = 23 * 2^(5+5) 318 23796 = 6 * (63^2 - 3) 319 24336 = (4 * (36 + 3))^2 320 24339 = (4 * 39)^2 + 3 321 24367 = 7 * (63 - 4)^2 322 24375 = (37 + 2) * 5^4 323 24385 = (58 / 2)^3 - 4 324 24389 = (2 * 8 + 9 + 4)^3 325 24390 = 29^3 + 4^0 326 24393 = (3 * 9 + 2)^3 + 4 327 24546 = (2 + 4) * (-5 + 4^6) 328 24564 = 6 * (4 * 4^5 - 2) 329 24566 = 6 * 4^6 - 2 * 5 330 24576 = (2 / 4)^(-5-7) * 6 331 24584 = 24 * 4^5 + 8 332 24586 = 6 * 8^4 + 2 * 5 333 24768 = 4 * 72 * 86 334 24964 = (94 + 64)^2 335 24972 = 4 * (79^2 + 2) 336 25105 = 5 * 5021 337 25137 = 513 * 7^2 338 25314 = (15^4 + 3) / 2 339 25375 = 35 * 725 340 25474 = 47 * 542 341 25510 = 5 * 5102 342 25725 = 525 * 7^2 343 25872 = 528 * 7^2 344 25895 = 5 * ((8 * 9)^2 - 5) 345 25921 = (159 + 2)^2 346 26238 = 2 * 2 * 3^8 - 6 347 26244 = (2 / 6)^(-2*4) * 4 348 26348 = 4 * (3^8 + 26) 349 26364 = 26^3 * 6 / 4 350 26496 = 9 * 46 * 2^6 351 26624 = 26 * 2^(4+6) 352 26754 = 546 * 7^2 353 26896 = (96 + 68)^2 354 26973 = 37 * 9^(6/2) 355 27436 = (6 * 7 - 4)^3 / 2 356 27634 = 2 * ((6 * 4)^3 - 7) 357 27639 = 2^7 * 6^3 - 9 358 27648 = (7 - 2 / 8) * 4^6 359 27653 = 6^3 * 2^7 + 5 360 27654 = 27 * 4^5 + 6 361 27783 = (3 * 7)^(8/2) / 7 362 27889 = (79 + 88)^2 363 28217 = (21 * 7)^2 - 7 364 28224 = (2 + 82)^2 * 4 365 28226 = (28 * 6)^2 + 2 366 28322 = 238^2 / 2 367 28476 = 7 * (4^6 - 28) 368 28547 = (8 + 5)^4 - 7 * 2 369 28554 = (8 + 5)^4 - 5 - 2 370 28556 = (8 + 5)^(6-2) - 5 371 28559 = -2 + (8 + 5)^(-5+9) 372 28561 = 1 * (8 + 5)^(6-2) 373 28564 = (8 + 5)^4 + 6 / 2 374 28671 = (2 / 8)^(-6) * 7 - 1 375 28672 = 7 * (8 - 2 - 2)^6 376 28674 = 7 * (8 - 4)^6 + 2 377 28678 = 7 * (8 * 8)^2 + 6 378 28728 = 7 * (8^(2*2) + 8) 379 28749 = 7 * (8^4 + 9 + 2) 380 28764 = 6 * (2 * 7^4 - 8) 381 28784 = 7 * (8^4 + 16) 382 28900 = (80 + 90)^2 383 29160 = 10 * (6 * 9)^2 384 29184 = 4 * 8 * 912 385 29282 = 2 * (9+2)^(8/2) 386 29517 = (9^5 - 1) / 2 - 7 387 29519 = (9^5 - 9) / 2 - 1 388 29523 = 9^5 / 2 - 3 / 2 389 29524 = (2 * 9^5 - 2) / 4 390 29525 = (9^5 - 5) / 2 - 2 391 29526 = (9^5 + 6 / 2) / 2 392 29527 = (9^5 + 7 - 2) / 2 393 29529 = 9^5 / 2 + 9 / 2 394 29531 = (9^5 + 13) / 2 395 29549 = (9^5 + 49) / 2 396 29584 = (4 * 5 * 9 - 8)^2 397 29632 = 32 * 926 398 29768 = 8 * (9 * 6 + 7)^2 399 29795 = 59 * (2^9 - 7) 400 29929 = (9 * 9 + 92)^2 401 30625 = (3 * 60 - 5)^2 402 31250 = 10 * (2 + 3)^5 403 31252 = 2 * (5^(2*3) + 1) 404 31256 = 1 * 2 * (5^6 + 3) 405 31346 = 43 * 3^6 - 1 406 31347 = 43 * 3^(7-1) 407 31509 = 9 * 3501 408 31590 = 9 * 3510 409 31682 = 62 * (8^3 - 1) 410 32685 = (6 + 2)^5 - 83 411 32697 = 63 * (2^9 + 7) 412 32744 = 2 * (4^7 - 3 * 4) 413 32747 = 2 * 4^7 - 21 414 32751 = 2^(3*5) - 17 415 32759 = (3 - 2 + 7)^5 - 9 416 32761 = 2^(3(6-1)) - 7 417 32762 = 2^(3(7-2)) - 6 418 32764 = 2^(3*7-6) - 4 419 32765 = -3 + (2 * 7 - 6)^5 420 32768 = (3 - 2 + 7)^6 / 8 421 32771 = 3 + 2^(7+7+1) 422 32772 = 2 * ((7 - 3)^7 + 2) 423 32775 = (7 + 3 - 2)^5 + 7 424 32778 = 2^(7+8) + 7 + 3 425 32781 = 2^(7+8) + 13 426 32782 = 8^(3+2) + 7 * 2 427 32783 = 32^3 + 7 + 8 428 32785 = 3 + 2 + 7 * 8^5 429 32786 = 2^(7+8) + 3 * 6 430 32795 = 5 * (9^(7-3) - 2) 431 32805 = 5 * (3^8 + 2 * 0) 432 32815 = 5 * (3^8 + 2 * 1) 433 32825 = 5 * (3^8 + 2 * 2) 434 32832 = 32^3 + 8^2 435 32835 = 5 * (3^8 + 2 * 3) 436 32836 = 32^3 + 68 437 32845 = 5 * (3^8 + 2 * 4) 438 32849 = 32^3 + 9^2 439 32851 = 2^15 + 83 440 32853 = 32^3 + 85 441 32854 = 8^5 + 43 * 2 442 32855 = 5 * (3^8 + 2 * 5) 443 32859 = 8^5 + 93 - 2 444 32865 = 5 * (3^8 + 2 * 6) 445 32875 = 5 * (3^8 + 2 * 7) 446 32885 = 5 * (3^8 + 2 * 8) 447 32895 = 5 * (3^8 + 2 * 9) 448 33495 = 33 * (4^5 - 9) 449 33579 = 7 * 9 * 533 450 33655 = 53 * 635 451 33696 = 36 * 936 452 34425 = 3^4 * 425 453 34968 = 3 * (9 * 6^4 - 8) 454 34986 = 48 * 9^3 - 6 455 34991 = (9 + 9)^4 / 3 - 1 456 34992 = 3 * (9 * 2)^4 / 9 457 34993 = ((9 + 9)^4 + 3) / 3 458 34996 = 6 * (9 + 9)^3 + 4 459 35152 = 2 * (5 * 5 + 1)^3 460 35684 = 8^5 - 4 * 3^6 461 35721 = 3^5 * 7 * 21 462 35726 = 7^2 * 3^6 + 5 463 35782 = (5^7 - 3^8) / 2 464 35928 = (5^2 + 8)^3 - 9 465 35932 = (3 * (9 + 2))^3 - 5 466 35933 = 33^3 + 5 - 9 467 35937 = (35 + 7 - 9)^3 468 35942 = (42 - 9)^3 + 5 469 36457 = (7 * 5^6 - 4) / 3 470 36549 = 9 * (4^6 - 35) 471 36850 = (3^6 + 8) * 50 472 36855 = 63 * 585 473 36864 = (6 + 6 - 3) * 8^4 474 36918 = 9 * (8^(3+1) + 6) 475 37179 = 3^7 * (1 + 7 + 9) 476 37187 = 17 * 3^7 + 8 477 37249 = (3 * 7 * 9 + 4)^2 478 37449 = (4^9 - 4 + 3) / 7 479 37668 = 6 * 73 * 86 480 37814 = 74 * (8^3 - 1) 481 37840 = 8 * 4730 482 37845 = 87 * 435 483 37875 = 75 * (8^3 - 5) 484 38416 = 14^(8*3/6) 485 38424 = (2 * (3 + 4))^4 + 8 486 38427 = (2 * 7)^4 + 8 + 3 487 38637 = (8 * 7 - 3) * 3^6 488 38640 = 30 * (-8 + 6^4) 489 38856 = (3^8 - 85) * 6 490 38912 = 38 * 2^(9+1) 491 39216 = ((9 - 2)^6 - 1) / 3 492 39283 = 3^9 * 2 - 83 493 39288 = 8 * ((9 + 8)^3 - 2) 494 39294 = 2 * (3^9 - 36) 495 39295 = (5^2 + 9)^3 - 9 496 39304 = 34^3 + 0 * 9 497 39313 = (33 + 1)^3 + 9 498 39314 = 34^3 + 1 + 9 499 39328 = 2 * 3^9 - 38 500 39342 = (3^9 - 3 * 4) * 2 501 39343 = 39 + 34^3 502 39356 = 6 * (3^9 - 5) / 3 503 39358 = 3^9 * (-3 + 5) - 8 504 39362 = 6 * (3^9 - 2) / 2 505 39363 = 3^9 / 3 * 6 - 3 506 39366 = 3^9 / (-3 + 6) * 6 507 39368 = 6 * (3^8 + 1 / 3) 508 39369 = 3 + 9^3 * 6 * 9 509 39372 = (3 + 9 * 3^7) * 2 510 39382 = ((3 * 9)^3 + 8) * 2 511 39424 = 2^9 * (3^4 - 4) 512 39456 = 6 * (9^4 + 3 * 5) 513 39784 = 8 * 4973 514 39864 = 6 * (9^4 + 83) 515 39945 = 39 * 4^5 + 9 516 41323 = 43 * 31^2 517 41468 = 4 * (8 * 6^4 - 1) 518 41472 = 2 * (1 + 4 + 7)^4 519 42025 = 205^(4-2) 520 42336 = 6 * (3^4 + 3)^2 521 42875 = (42-7)^(8-5) 522 42898 = 89 * 482 523 43264 = (6^3 - 4 - 4)^2 524 43268 = (6^3 - 8)^2 + 4 525 43375 = 5^3 * (7^3 + 4) 526 43688 = 86 * (8^3 - 4) 527 43689 = (4^9 + 8) / 6 - 3 528 43691 = 4^9 / 6 + 1 / 3 529 43692 = (4^9 + 2^3) / 6 530 43775 = (4 * 3^7 + 7) * 5 531 43932 = 3 * ((9 + 2)^3 + 3) 532 44375 = 5^4 * (4^3 + 7) 533 44676 = 6 * 7446 534 44977 = (7 + 7)^4 + 9^4 535 45056 = (50 - 6) * 4^5 536 45360 = 35 * 6^4 + 0 537 45361 = 35 * 6^4 + 1 538 45362 = 35 * 6^4 + 2 539 45363 = 35 * 6^4 + 3 540 45364 = 35 * 6^4 + 4 541 45365 = 35 * 6^4 + 5 542 45366 = 35 * 6^4 + 6 543 45367 = 35 * 6^4 + 7 544 45368 = 35 * 6^4 + 8 545 45369 = 35 * 6^4 + 9 546 45632 = -4^5 + 6^(3*2) 547 45684 = 54 * 846 548 45760 = 65 * 704 549 45864 = 84 * 546 550 45873 = 7 * 3^8 - 54 551 45927 = ((4 + 5) * 9)^2 * 7 552 45947 = 4 * 5 + 9^4 * 7 553 45957 = 7 * (9^4 + 5) - 5 554 45978 = 7 * (9^4 + 8) - 5 555 46256 = 6^6 - (4 * 5)^2 556 46368 = 36 * (6^4 - 8) 557 46556 = 6^6 - 4 * 5 * 5 558 46593 = 3 * (5^6 - 94) 559 46608 = 6^6 - 48 + 0 560 46613 = 6^6 - 43 * 1 561 46615 = 6 * 6^5 - 41 562 46619 = 6^6 - 9 * 4 - 1 563 46624 = 6^6 - 4 * 4 * 2 564 46626 = -4 + 6^6 - 26 565 46630 = 4 + 6^6 - 30 566 46632 = -4 * 6 + 6^(3*2) 567 46633 = 4 + 6^6 - 3^3 568 46635 = 6 * (6^5 - 4) + 3 569 46637 = 6^6 - 4 * 3 - 7 570 46640 = 6^6 - 4 * 4 + 0 571 46641 = 6^6 - 4 * 4 + 1 572 46642 = 6^6 - 4 * 4 + 2 573 46643 = 6^6 - 4 * 4 + 3 574 46644 = 4 + 6^6 - 4 * 4 575 46645 = 6^6 - 4 * 4 + 5 576 46646 = 6^6 - 4 * 4 + 6 577 46647 = 6^6 - 4 * 4 + 7 578 46648 = 4 * 6^6 / 4 - 8 579 46649 = 6^6 - 4 * 4 + 9 580 46650 = 6^6 - 5 - 4^0 581 46651 = -4 + 6 * 6^5 - 1 582 46652 = -4 + (6 * 6)^(5-2) 583 46653 = 6^6 - (5 + 4)/3 584 46655 = 4 + 6 * 6^5 - 5 585 46656 = (-4 * 6 + 6 * 5)^6 586 46657 = 6^7 / 6 + 5 - 4 587 46658 = 6 * 6^5 + 8 / 4 588 46660 = 4 + 6^6 + 6 * 0 589 46661 = 6^6 + 4 + 1^6 590 46662 = 6^2 * 6^4 + 6 591 46663 = 4 + 6^6 + 6 - 3 592 46664 = 6^6 + 4 * (6 - 4) 593 46665 = 6 * (6^5 + 6 / 4) 594 46668 = 6^6 + 6 * 8 / 4 595 46672 = 6^7 / 6 + 4^2 596 46673 = -4 + 6^6 + 7 * 3 597 46677 = 6^6 + 4 * 7 - 7 598 46684 = -4 + 6^6 + 8*4 599 46688 = (4 + 6^6 / 8) * 8 600 46691 = 6^6 + 4 * 9 - 1 601 46851 = (4 - 1) * (5^6 - 8) 602 46875 = (4 + 7 - 8) * 5^6 603 47538 = 57 * 834 604 47652 = 76 * (5^4 + 2) 605 48672 = 78 * 624 606 48750 = 78 * 5^4 + 0 607 48751 = 78 * 5^4 + 1 608 48752 = 78 * 5^4 + 2 609 48753 = 78 * 5^4 + 3 610 48754 = 78 * 5^4 + 4 611 48755 = 78 * 5^4 + 5 612 48756 = 78 * 5^4 + 6 613 48757 = 78 * 5^4 + 7 614 48758 = 78 * 5^4 + 8 615 48759 = 78 * 5^4 + 9 616 49152 = (4 - 1) * 2^(9+5) 617 49277 = 9 * 74^2 - 7 618 49584 = 48 * (4^5 + 9) 619 49855 = 59 * 845 620 49896 = 6 * 84 * 99 621 49968 = 8 * 9 * 694 622 51200 = 50 * 2^10 623 51398 = (5^9 - 1) / 38 624 51759 = 9 * 5751 625 52168 = 8 * 6521 626 52429 = (4^9 + 2 / 2) / 5 627 52483 = 2 * 4 * 3^8 - 5 628 52488 = (5 + 2 - 4)^8 * 8 629 52493 = 2^3 * 9^4 + 5 630 52498 = 8 * 9^4 + 2 * 5 631 52731 = 217 * 3^5 632 52947 = 4^9 / 2 - 5^7 633 53245 = 52 * 4^5 - 3 634 53248 = 52 * 4^(8-3) 635 53297 = 2 * 7^5 + 3^9 636 53824 = (8 * (34 - 5))^2 637 53865 = 63 * 855 638 54369 = (3 + 4) * (6^5 - 9) 639 54378 = 87 * 5^4 + 3 640 54432 = (4 + 3) * (4 + 2)^5 641 54436 = (4 + 3) * 6^5 + 4 642 54476 = 7 * 6^5 + 44 643 54642 = 42 * (6^4 + 5) 644 54726 = 7 * (6^5 + 42) 645 54768 = 7 * (6^5 + 48) 646 54872 = (8 * 5 - 2)^(7-4) 647 54953 = 9^5 - (3 + 5)^4 648 54958 = 9^5 - 8^4 + 5 649 55225 = (5 * (52 - 5))^2 650 55296 = 54 * 2^10 651 56295 = 9 * 6255 652 56628 = (5 + 8) * 66^2 653 56732 = 26 * (3^7 - 5) 654 56875 = 65 * 875 655 57288 = 8 * (2^(5+8) - 7) 656 57644 = 4 * (6 * 7^4 + 5) 657 57645 = 5^7 - 5 * 4^6 658 58921 = 9^5 - 2^(8-1) 659 58957 = 9^5 - 2^8-1 660 58971 = 9^5 - 78 * 1 661 58973 = 9^5 - 83 + 7 662 58978 = 9^5 - 8 * 8 - 7 663 59032 = 9^5 - 20 + 3 664 59038 = 9^5 - 8 - 3 - 0 665 59039 = 9^5 - 87 - 5 666 59044 = 9^5 - 4 - 4^0 667 59045 = 9^5 - 4 - 0 * 5 668 59046 = 9^5 - 4 + 0^6 669 59048 = 9^5 - 48^0 670 59049 = 9^5 + 0 * 4 * 9 671 59050 = 9^5 + 5^0 + 0 672 59051 = 9^5 + 5^0 + 1 673 59052 = 5 + 9^(0+5) - 2 674 59053 = 9^5 + 5^0 + 3 675 59054 = 9^5 + 5^0 + 4 676 59055 = 9^5 + 5^0 + 5 677 59056 = 9^5 + 5^0 + 6 678 59057 = 9^5 + 5^0 + 7 679 59058 = 9^5 + 5^0 + 8 680 59059 = 9^5 + 5^0 + 9 681 59064 = 9^5 + 60 / 4 682 59094 = 9 * (9^4 + 1) + 0 683 59128 = 9^5 + 81 - 2 684 59129 = 9^5 + 9^2 - 1 685 59147 = 9^5 + 7 * 14 686 59263 = 9^5 + 6^3 - 2 687 59265 = 9^5 + 6^(5-2) 688 59273 = 9^5 + 7 * 32 689 59313 = 39^3 - 5 - 1 690 59314 = 39^(4-1) - 5 691 59318 = 39^(8-5) - 1 692 59319 = 39^(9-5-1) 693 59375 = (9 + 3 + 7) * 5^5 694 59392 = 9^5 + (9 - 2)^3 695 59409 = 9^5 + 4 * 90 696 59451 = 19 * (5^5 + 4) 697 59759 = ((5 + 9)^5 + 7) / 9 698 61435 = 5 * (3 * 6^4 - 1) 699 61440 = 60 * 4^(4+1) 700 62476 = 6 * ((7 - 2)^6 - 4) 701 62503 = (50^3 + 6) / 2 702 62504 = 4 * (5^6 + 2^0) 703 62564 = 4 * 5^6 + 2^6 704 62968 = 68 * 926 705 63478 = 4^8 - 6 * 7^3 706 63895 = 65 * 983 707 63904 = 40^3 - 96 708 63945 = 63 * (-9 + 4^5) 709 63985 = (8 * 5)^3 - 6 - 9 710 63994 = (49 - 9)^3 - 6 711 64036 = 40^3 + 6 * 6 712 64512 = 4^5 * (2^6 - 1) 713 64513 = 63 * 4^5 + 1 714 64522 = 254^2 + 6 715 64550 = (6^4 - 5) * 50 716 64868 = 4^8 - 668 717 65344 = 64 * (4^5 - 3) 718 65471 = -65 + 4^(7+1) 719 65478 = 4^8 - 65 + 7 720 65480 = 4^8 - 56 + 0 721 65481 = 4^8 - 56 + 1 722 65482 = 4^8 - 56 + 2 723 65483 = 4^8 - 56 + 3 724 65484 = 4^8 - 56 + 4 725 65485 = 4^8 - 56 + 5 726 65486 = 4^8 - 56 + 6 727 65487 = 4^8 - 56 + 7 728 65488 = 4^8 - 56 + 8 729 65489 = 4^8 - 56 + 9 730 65491 = 16^(9-5) - 45 731 65528 = 2^(5+5+6) - 8 732 65531 = (5 - 3)^16 - 5 733 65536 = (6 / 3)^(6+5+5) 734 65542 = 4^(5+5-2) + 6 735 65841 = 4^8 + 5 * 61 736 65884 = 4^8 + 6 * 58 737 66339 = (6 * 6)^3 + 3^9 738 66554 = 65 * 4^5 - 6 739 67149 = 9 * 7461 740 67228 = 28 * 7^(6-2) 741 67234 = 6 + 7^(2+3) * 4 742 67252 = 2 * 2 * (7^5 + 6) 743 67254 = 4 * (7^5 + 6) + 2 744 67392 = 72 * 936 745 67950 = 75 * 906 746 68644 = (4^4 + 6)^(8-6) 747 68800 = 8 * 8600 748 69253 = 95 * 3^6 - 2 749 69255 = 95 * (5 - 2)^6 750 69472 = 6^7 / 4 - 2^9 751 69822 = 862 * 9^2 752 69895 = 9 * (6^5 - 9) - 8 753 69975 = 6^7 / (9 - 5) - 9 754 69984 = 6^(-9/9+8) / 4 755 69985 = 9 * 6^5 + 9 - 8 756 69993 = 96 * 9^3 + 9 757 70225 = (270 - 5)^2 758 71199 = 9 * 7911 759 72576 = 567 * 2^7 760 73125 = 13 * 75^2 761 73926 = 6 * 9 * 37^2 762 73984 = (8 * 34)^(9-7) 763 74183 = 31 * (7^4 - 8) 764 74353 = 34 * 3^7 - 5 765 74358 = 34 * (8 - 5)^7 766 74533 = 73 * (4^5 - 3) 767 74536 = 56 * (4 + 7)^3 768 74892 = (4 + 8) * 79^2 769 74897 = (8^7 / 4 + 9) / 7 770 75433 = 4^7 + (3 * 3)^5 771 76335 = 35 * (3^7 - 6) 772 76832 = 2 * (6 + 8)^(7-3) 773 76835 = (6 + 8)^5 / 7 + 3 774 77459 = 5^7 - 9 * 74 775 78055 = 5^8 / 5 - 70 776 78115 = 5^7 - 8 - 1 - 1 777 78116 = (6 - 1)^7 - 8 - 1 778 78117 = (6 - 1)^7 - 8 * 1 779 78123 = (8 - 3)^7 - 2 * 1 780 78125 = 5^7 * 1^82 781 78126 = (8 - 6 / 2)^7 + 1 782 78132 = (2 + 3)^7 + 8 - 1 783 78133 = (3 + 3 - 1)^7 + 8 784 78135 = 5^7 + 8 + 3 - 1 785 78136 = (6 - 1)^7 + 8 + 3 786 78152 = 5^7 + 28 - 1 787 78163 = (6 - 1)^7 + 38 788 78165 = 5^7 + 8 * (6 - 1) 789 78225 = 5^7 + (2 * 5)^2 790 78545 = 5^7 + 5 * 84 791 78605 = 5^7 + 6 * 80 792 78659 = 5^7 + 6 * 89 793 78732 = (7 + 7 - 2) * 3^8 794 78975 = 9 * 8775 795 79299 = 9^2 * 979 796 81225 = 1 * 285^2 797 81648 = (8 * 8 - 1) * 6^4 798 81920 = 80 * 2^(9+1) 799 82372 = 287^2 + 3 800 82755 = 5 * (7^5 - 2^8) 801 82936 = (3 * 96)^2 - 8 802 82942 = (4 * 8 * 9)^2 - 2 803 82944 = (9 * 4^4 / 8)^2 804 82952 = (9 * 2^5)^2 + 8 805 83357 = 7^3 * 2^5 + 8 806 83521 = (25 - 8)^(3+1) 807 83524 = (25 - 8)^4 + 3 808 83957 = 5^7 + 8 * 9^3 809 84375 = 5 * (7 + 8)^4 / 3 810 84672 = 48 * (6 * 7)^2 811 85264 = (4 * (68 + 5))^2 812 85293 = (2 * 9 - 5) * 3^8 813 85358 = (5 + 8) * (3^8 + 5) 814 86142 = 21 * (8^4 + 6) 815 86724 = (7^4 + 8) * 6^2 816 87381 = (8^7 / 8 - 1) / 3 817 87382 = (8^7 / 8 + 2) / 3 818 91125 = (9 * 5 * 1)^(2+1) 819 91853 = (9 + 5) * 3^8 - 1 820 91854 = (9 + 5) * (4 - 1)^8 821 92160 = 10 * 96^2 822 93184 = 91 * 4^(8-3) 823 93217 = 97 * 31^2 824 93294 = 2 * ((4 * 9)^3 - 9) 825 93312 = 2 * (9 * (3 + 1))^3 826 93642 = (9 * 34)^2 + 6 827 94395 = 93 * (4^5 - 9) 828 95232 = 93 * 2^(2*5) 829 95234 = 93 * 4^5 + 2 830 97333 = (39 + 7)^3 - 3 831 97336 = (39 + 7)^(6-3) 832 97343 = (49 - 3)^3 + 7 833 97375 = 779 * 5^3 834 97966 = 7^6 - (9 - 6)^9 835 98256 = 6 * (2^(9+5) - 8) 836 98304 = 3 * 8^(9-4) + 0 837 98305 = 3 * 8^5 + 9^0 838 98325 = 3 * (8^5 + 9 - 2) 839 98375 = 5 * (9 * 3^7 - 8) 840 98415 = 9^(8-4) * 15 841 98435 = 5 * (3^9 + 8 - 4) 842 99225 = ((9 - 2) * 9 * 5)^2 843 100255 = 5 * 20051 844 100525 = 5 * 20105