Read remarks for power 98. Solutions with 1 in front are those posted before - they have no number in front. They seem to be worthless. Or, without reading anything, start with solution with 2 in front at the end of this file and LHS around 2*66=132 to get something around 1400 (perhaps you get something better or something worse here). I expect that you should find some solutions around 1400 and around 2800 if you allow higher number of right terms. Solutions around 2000 should be very rare. If that works, move up with LHS very slowly. Use only congruence solutions in this file! Use solutions "2 (49,26)" first. If that doesn't work, decrease LHS slightly. If that doesn't work either, forget 49. ********************************************************** LHS = 2*50 = 100 931 - 1242 - 1655 1 928 2785 2 1856 3713 LHS = 2*51 = 102 893 - 1185 - 1571 1 910 2730 2 1820 3640 LHS = 2*52 = 104 858 - 1133 - 1494 1 892 2678 2 1785 3570 LHS = 2*53 = 106 826 - 1086 - 1424 1 876 2627 2 1751 3503 LHS = 2*54 = 108 796 - 1041 - 1359 1 859 2578 2 1719 3438 LHS = 2*55 = 110 768 - 1000 - 1300 1 844 2531 2 1688 3375 LHS = 2*56 = 112 742 - 962 - 1245 1 829 2486 2 1658 3315 LHS = 2*57 = 114 718 - 927 - 1194 1 814 2443 2 1628 3257 LHS = 2*58 = 116 695 - 894 - 1147 1 800 2401 2 1600 3201 LHS = 2*59 = 118 674 - 863 - 1104 1 787 2360 2 1573 3146 LHS = 2*60 = 120 654 - 835 - 1063 1 774 2320 2 1547 3094 LHS = 2*61 = 122 636 - 808 - 1025 1 761 2282 2 1522 3043 LHS = 2*62 = 124 618 - 783 - 989 1 749 2246 2 1497 2994 LHS = 2*63 = 126 601 - 759 - 956 1 737 2210 2 1473 2947 LHS = 2*64 = 128 586 - 737 - 925 1 725 2175 2 1450 2901 LHS = 2*65 = 130 571 - 716 - 896 1 714 2142 2 1428 2856 LHS = 2*66 = 132 557 - 696 - 869 1 703 2110 2 1406 2813 LHS = 2*67 = 134 543 - 678 - 843 1 693 2078 2 1385 2771 LHS = 2*68 = 136 531 - 660 - 819 1 682 2048 2 1365 2730 LHS = 2*69 = 138 519 - 643 - 796 1 673 2018 2 1345 2690 LHS = 2*70 = 140 507 - 627 - 774 1 663 1989 2 1326 2652 LHS = 2*71 = 142 496 - 612 - 754 1 654 1961 2 1307 2615 LHS = 2*72 = 144 486 - 598 - 734 1 645 1934 2 1289 2578 LHS = 2*73 = 146 476 - 585 - 716 1 636 1907 2 1272 2543 LHS = 2*74 = 148 467 - 572 - 698 1 627 1881 2 1254 2509 LHS = 2*75 = 150 458 - 559 - 682 1 619 1856 2 1238 2475 LHS = 2*76 = 152 449 - 548 - 666 1 611 1832 2 1221 2443 LHS = 2*77 = 154 441 - 537 - 651 1 603 1808 2 1205 2411 LHS = 2*78 = 156 433 - 526 - 637 1 595 1785 2 1190 2380 LHS = 2*79 = 158 426 - 516 - 623 1 587 1762 2 1175 2350 LHS = 2*80 = 160 418 - 506 - 610 1 580 1740 2 1160 2320 LHS = 2*81 = 162 412 - 497 - 598 1 573 1719 2 1146 2292 LHS = 2*82 = 164 405 - 488 - 586 1 566 1698 2 1132 2264 LHS = 2*83 = 166 399 - 479 - 574 1 559 1677 2 1118 2237 LHS = 2*84 = 168 392 - 471 - 563 1 552 1658 2 1105 2210 LHS = 2*85 = 170 386 - 463 - 553 1 546 1638 2 1092 2184 LHS = 2*86 = 172 381 - 455 - 543 1 540 1619 2 1079 2159 LHS = 2*87 = 174 375 - 448 - 533 1 533 1600 2 1067 2134 LHS = 2*88 = 176 370 - 441 - 524 1 527 1582 2 1055 2110 LHS = 2*89 = 178 365 - 434 - 515 1 521 1564 2 1043 2086 LHS = 2*90 = 180 360 - 428 - 507 1 516 1547 2 1031 2063 LHS = 2*91 = 182 355 - 421 - 499 1 510 1530 2 1020 2040 LHS = 2*92 = 184 351 - 415 - 491 1 504 1513 2 1009 2018 LHS = 2*93 = 186 346 - 409 - 483 1 499 1497 2 998 1996 LHS = 2*94 = 188 342 - 404 - 476 1 494 1481 2 987 1975 LHS = 2*95 = 190 338 - 398 - 469 1 489 1466 2 977 1954 LHS = 2*96 = 192 334 - 393 - 462 1 483 1450 2 967 1934 LHS = 2*97 = 194 330 - 388 - 455 1 478 1435 2 957 1914 LHS = 2*98 = 196 326 - 383 - 449 1 474 1421 2 947 1894 LHS = 2*99 = 198 322 - 378 - 443 1 469 1406 2 938 1875 LHS = 2*100 = 200 319 - 374 - 437 1 464 1392 2 928 1856 LHS = 2*101 = 202 315 - 369 - 431 1 460 1379 2 919 1838 LHS = 2*102 = 204 312 - 365 - 425 1 455 1365 2 910 1820 LHS = 2*103 = 206 309 - 361 - 420 1 451 1352 2 901 1802 LHS = 2*104 = 208 305 - 356 - 415 1 446 1339 2 892 1785 LHS = 2*105 = 210 302 - 353 - 410 1 442 1326 2 884 1768 LHS = 2*106 = 212 299 - 349 - 405 1 438 1313 2 876 1751 LHS = 2*107 = 214 297 - 345 - 400 1 434 1301 2 867 1735 LHS = 2*108 = 216 294 - 341 - 395 1 430 1289 2 859 1719 LHS = 2*109 = 218 291 - 338 - 391 1 426 1277 2 852 1703 LHS = 2*110 = 220 288 - 334 - 387 1 422 1266 2 844 1688 LHS = 2*111 = 222 286 - 331 - 382 1 418 1254 2 836 1672 LHS = 2*112 = 224 283 - 328 - 378 1 414 1243 2 829 1658 LHS = 2*113 = 226 281 - 325 - 374 1 411 1232 2 821 1643 LHS = 2*114 = 228 278 - 321 - 370 1 407 1221 2 814 1628 LHS = 2*115 = 230 276 - 318 - 367 1 404 1211 2 807 1614 LHS = 2*116 = 232 274 - 316 - 363 1 400 1200 2 800 1600 LHS = 2*117 = 234 271 - 313 - 359 1 397 1190 2 793 1587 LHS = 2*118 = 236 269 - 310 - 356 1 393 1180 2 787 1573 LHS = 2*119 = 238 267 - 307 - 352 1 390 1170 2 780 1560 LHS = 2*120 = 240 265 - 305 - 349 1 387 1160 2 774 1547 LHS = 2*121 = 242 263 - 302 - 346 1 384 1151 2 767 1534 LHS = 2*122 = 244 261 - 300 - 343 1 380 1141 2 761 1522 LHS = 2*123 = 246 259 - 297 - 340 1 377 1132 2 755 1509 LHS = 2*124 = 248 257 - 295 - 337 1 374 1123 2 749 1497 LHS = 2*125 = 250 255 - 292 - 334 1 371 1114 2 743 1485 LHS = 2*126 = 252 254 - 290 - 331 1 368 1105 2 737 1473 LHS = 2*127 = 254 252 - 288 - 328 1 365 1096 2 731 1462 LHS = 2*128 = 256 250 - 286 - 325 1 363 1088 2 725 1450 LHS = 2*129 = 258 248 - 283 - 323 1 360 1079 2 720 1439 LHS = 2*130 = 260 247 - 281 - 320 1 357 1071 2 714 1428 LHS = 2*131 = 262 245 - 279 - 318 1 354 1063 2 709 1417 LHS = 2*132 = 264 243 - 277 - 315 1 352 1055 2 703 1406 LHS = 2*133 = 266 242 - 275 - 313 1 349 1047 2 698 1396 LHS = 2*134 = 268 240 - 274 - 310 1 346 1039 2 693 1385 LHS = 2*135 = 270 239 - 272 - 308 1 344 1031 2 688 1375 LHS = 2*136 = 272 237 - 270 - 306 1 341 1024 2 682 1365 LHS = 2*137 = 274 236 - 268 - 304 1 339 1016 2 678 1355 LHS = 2*138 = 276 235 - 266 - 301 1 336 1009 2 673 1345 LHS = 2*139 = 278 233 - 265 - 299 1 334 1002 2 668 1336 LHS = 2*140 = 280 232 - 263 - 297 1 332 994 2 663 1326 LHS = 2*141 = 282 230 - 261 - 295 1 329 987 2 658 1317 LHS = 2*142 = 284 229 - 260 - 293 1 327 980 2 654 1307 LHS = 2*143 = 286 228 - 258 - 291 1 325 974 2 649 1298 LHS = 2*144 = 288 227 - 256 - 289 1 322 967 2 645 1289 LHS = 2*145 = 290 225 - 255 - 287 1 320 960 2 640 1280 LHS = 2*146 = 292 224 - 253 - 285 1 318 954 2 636 1272 LHS = 2*147 = 294 223 - 252 - 284 1 316 947 2 631 1263 LHS = 2*148 = 296 222 - 250 - 282 1 314 941 2 627 1254 LHS = 2*149 = 298 221 - 249 - 280 1 311 934 2 623 1246 LHS = 2*150 = 300 220 - 248 - 278 1 309 928 2 619 1238 LHS = 2*151 = 302 218 - 246 - 277 1 307 922 2 615 1229 LHS = 2*152 = 304 217 - 245 - 275 1 305 916 2 611 1221 LHS = 2*153 = 306 216 - 244 - 273 1 303 910 2 607 1213 LHS = 2*154 = 308 215 - 242 - 272 1 301 904 2 603 1205 LHS = 2*155 = 310 214 - 241 - 270 1 299 898 2 599 1198 LHS = 2*156 = 312 213 - 240 - 269 1 298 892 2 595 1190 LHS = 2*157 = 314 212 - 239 - 267 1 296 887 2 591 1182 LHS = 2*158 = 316 211 - 237 - 266 1 294 881 2 587 1175 LHS = 2*159 = 318 210 - 236 - 264 1 292 876 2 584 1168 LHS = 2*160 = 320 209 - 235 - 263 1 290 870 2 580 1160 LHS = 2*161 = 322 208 - 234 - 262 1 288 865 2 577 1153 LHS = 2*162 = 324 207 - 233 - 260 1 286 859 2 573 1146 LHS = 2*163 = 326 207 - 232 - 259 1 285 854 2 569 1139 LHS = 2*164 = 328 206 - 230 - 257 1 283 849 2 566 1132 LHS = 2*165 = 330 205 - 229 - 256 1 281 844 2 563 1125 LHS = 2*166 = 332 204 - 228 - 255 1 280 839 2 559 1118 LHS = 2*167 = 334 203 - 227 - 254 1 278 834 2 556 1112 LHS = 2*168 = 336 202 - 226 - 252 1 276 829 2 552 1105 LHS = 2*169 = 338 201 - 225 - 251 1 275 824 2 549 1098 LHS = 2*170 = 340 201 - 224 - 250 1 273 819 2 546 1092 LHS = 2*171 = 342 200 - 223 - 249 1 271 814 2 543 1086 LHS = 2*172 = 344 199 - 222 - 248 1 270 809 2 540 1079 LHS = 2*173 = 346 198 - 221 - 246 1 268 805 2 537 1073 LHS = 2*174 = 348 197 - 220 - 245 1 267 800 2 533 1067 LHS = 2*175 = 350 197 - 219 - 244 1 265 796 2 530 1061 LHS = 2*176 = 352 196 - 219 - 243 1 264 791 2 527 1055 LHS = 2*177 = 354 195 - 218 - 242 1 262 787 2 524 1049 LHS = 2*178 = 356 194 - 217 - 241 1 261 782 2 521 1043 LHS = 2*179 = 358 194 - 216 - 240 1 259 778 2 519 1037 LHS = 2*180 = 360 193 - 215 - 239 1 258 774 2 516 1031 LHS = 2*181 = 362 192 - 214 - 238 1 256 769 2 513 1026 LHS = 2*182 = 364 192 - 213 - 237 1 255 765 2 510 1020 LHS = 2*183 = 366 191 - 213 - 236 1 254 761 2 507 1014 LHS = 2*184 = 368 190 - 212 - 235 1 252 757 2 504 1009 LHS = 2*185 = 370 190 - 211 - 234 1 251 753 2 502 1003 LHS = 2*186 = 372 189 - 210 - 233 1 250 749 2 499 998 LHS = 2*187 = 374 188 - 209 - 232 1 248 745 2 496 993 LHS = 2*188 = 376 188 - 209 - 231 1 247 741 2 494 987 LHS = 2*189 = 378 187 - 208 - 230 1 246 737 2 491 982 LHS = 2*190 = 380 187 - 207 - 229 1 244 733 2 489 977 LHS = 2*191 = 382 186 - 206 - 228 1 243 729 2 486 972 LHS = 2*192 = 384 185 - 206 - 228 1 242 725 2 483 967 LHS = 2*193 = 386 185 - 205 - 227 1 240 721 2 481 962 LHS = 2*194 = 388 184 - 204 - 226 1 239 718 2 478 957 LHS = 2*195 = 390 184 - 203 - 225 1 238 714 2 476 952 LHS = 2*196 = 392 183 - 203 - 224 1 237 710 2 474 947 LHS = 2*197 = 394 182 - 202 - 223 1 236 707 2 471 942 LHS = 2*198 = 396 182 - 201 - 223 1 234 703 2 469 938 LHS = 2*199 = 398 181 - 201 - 222 1 233 700 2 466 933 LHS = 2*200 = 400 181 - 200 - 221 1 232 696 2 464 928 ******************************************************************* 2 (49,26) (95+89+89+85+81+77+69+69+67+67+67+55+49+47+47+35+35+33+27+27+23+23+17+5+1+1)/2 2 (49,26) (95+93+91+81+81+77+75+75+65+63+61+57+55+55+51+51+49+35+35+17+17+17+17+17+13+1)/2 2 (49,26) (87+85+85+85+85+83+79+77+71+63+59+59+51+45+43+37+37+35+27+25+25+11+9+7+5+5)/2 2 (49,26) (99+99+97+91+77+75+73+65+63+61+59+57+57+51+51+49+35+29+25+23+19+13+7+3+1+1)/2 2 (49,26) (99+93+89+87+85+75+71+69+59+59+59+59+55+55+51+49+25+23+21+7+7+5+5+5+3+1)/2 2 (49,26) (95+95+75+71+71+71+63+61+55+55+55+53+53+53+43+41+27+27+21+19+13+13+11+5+3+3)/2 2 (49,26) (97+91+89+89+85+85+79+75+75+73+71+69+67+53+53+53+43+29+29+27+27+17+13+9+5+5)/2 2 (49,26) (99+87+85+85+85+79+65+63+61+57+57+55+51+49+45+45+41+35+31+27+25+11+11+11+11+9)/2 2 (49,26) (93+89+87+85+81+79+79+67+67+67+53+53+49+39+37+29+25+25+25+25+21+21+5+5+5+5)/2 2 (49,26) (97+97+91+91+91+87+79+77+75+75+75+69+65+53+53+49+39+35+35+29+29+27+19+15+15+5)/2 2 (49,26) (97+95+93+91+87+83+77+77+69+59+57+51+51+45+41+33+25+23+21+19+19+19+15+15+9+9)/2 2 (49,26) (99+87+83+79+79+79+77+69+69+65+63+57+53+49+49+49+41+41+37+23+23+23+21+21+5+3)/2 2 (49,26) (91+83+81+81+77+73+73+71+65+61+59+51+51+39+39+39+31+31+31+29+27+27+3+1+1+1)/2 2 (49,26) (97+95+95+79+79+75+75+73+59+57+53+47+45+31+31+31+31+31+31+29+25+23+13+5+5+1)/2 2 (49,26) (97+95+95+95+93+85+79+79+73+63+55+55+55+43+39+33+21+21+21+21+19+17+13+5+5+3)/2 2 (49,24) (113+103+95+93+93+89+89+87+75+75+67+63+55+55+45+43+31+27+27+23+23+21+11+5)/2 2 (49,24) (119+117+117+109+99+89+79+79+73+71+63+61+45+45+43+43+27+27+27+23+19+15+11+7)/2 2 (49,24) (115+113+111+109+91+89+81+81+79+75+69+57+47+45+45+45+33+25+25+23+21+13+13+3)/2 2 (49,24) (117+99+95+95+95+93+69+69+69+67+63+63+59+57+55+55+35+31+29+27+23+21+15+7)/2 2 (49,24) (115+109+103+103+97+91+85+77+63+63+59+59+53+45+45+43+43+37+17+17+17+1+1+1)/2 2 (49,24) (117+115+111+109+99+99+87+77+75+73+73+57+55+51+51+43+31+29+25+23+23+17+17+15)/2 2 (49,24) (107+107+101+101+95+95+87+87+81+65+63+59+55+45+43+37+29+29+27+27+27+23+15+3)/2 2 (49,24) (119+115+107+89+89+89+73+71+69+61+59+59+57+57+47+41+39+35+17+13+11+9+9+9)/2 2 (49,22) (135+135+127+127+109+103+83+79+79+77+73+61+61+43+39+35+35+21+19+13+9+9)/2 2 (49,22) (133+127+115+113+107+105+97+93+87+73+73+71+67+55+55+37+29+19+7+3+3+3)/2 2 (49,22) (129+121+115+113+113+93+91+85+85+85+73+71+71+67+55+45+35+31+21+19+15+3)/2 2 (49,22) (139+129+125+119+113+105+101+95+93+85+71+67+67+67+49+35+25+15+15+13+7+1)/2 2 (49,22) (127+123+119+119+107+91+89+87+87+73+73+71+59+45+45+43+33+29+29+19+3+1)/2 2 (49,22) (137+123+111+105+105+101+99+95+95+87+79+55+53+53+39+37+31+23+19+13+11+1)/2 2 (49,22) (123+121+119+107+105+103+101+89+87+85+71+65+63+61+55+45+23+17+15+7+7+3)/2