WASD Skrivet 31 Mars 2013 Rapport Dela Skrivet 31 Mars 2013 (redigerat) Körde en massa primtal upp till 500 med försök att summera ner till 1/1000 och de flesta kunde bildas på många olika sätt. 1/479 == 1/921 + 1/9981/479 == 1/922 + 1/9971/479 == 1/928 + 1/9901/479 == 1/936 + 1/9811/479 == 1/937 + 1/9801/479 == 1/952 + 1/9641/479 == 1/953 + 1/9631/479 == 1/954 + 1/9621/479 == 1/955 + 1/9611/479 == 1/956 + 1/9601/479 == 1/957 + 1/959Mezox har du skype? Jag och davve snackar där.Här är alla resultat. Första primtalsensammabråket att ha mer än en möjlighet är 103Edit: Och de primtalen som inte står med uppfylls endast av 1/(2b)+1/(2b). Edit: På grund av avrundningsfel är denna listan inkorrekt. Ensamma bråk av primtal verkar bara ha en lösning utöver 1/(2b)+1/(2b)1/3 == 1/4 + 1/121/5 == 1/6 + 1/301/7 == 1/8 + 1/561/11 == 1/12 + 1/1321/13 == 1/14 + 1/1821/17 == 1/18 + 1/3061/19 == 1/20 + 1/3801/23 == 1/24 + 1/5521/29 == 1/30 + 1/8701/31 == 1/32 + 1/9921/101 == 1/113 + 1/9511/103 == 1/115 + 1/9871/103 == 1/116 + 1/9191/109 == 1/124 + 1/9011/109 == 1/127 + 1/7691/113 == 1/129 + 1/9111/113 == 1/132 + 1/7851/113 == 1/134 + 1/7211/127 == 1/148 + 1/8951/127 == 1/151 + 1/7991/127 == 1/155 + 1/7031/127 == 1/159 + 1/6311/127 == 1/163 + 1/5751/127 == 1/169 + 1/5111/127 == 1/175 + 1/4631/131 == 1/151 + 1/9891/131 == 1/153 + 1/9111/131 == 1/155 + 1/8461/131 == 1/157 + 1/7911/131 == 1/161 + 1/7031/131 == 1/164 + 1/6511/131 == 1/170 + 1/5711/131 == 1/171 + 1/5601/131 == 1/175 + 1/5211/131 == 1/183 + 1/4611/131 == 1/186 + 1/4431/131 == 1/191 + 1/4171/131 == 1/196 + 1/3951/131 == 1/197 + 1/3911/137 == 1/160 + 1/9531/137 == 1/161 + 1/9191/137 == 1/171 + 1/6891/137 == 1/183 + 1/5451/137 == 1/185 + 1/5281/137 == 1/188 + 1/5051/137 == 1/205 + 1/4131/137 == 1/206 + 1/4091/137 == 1/229 + 1/3411/137 == 1/239 + 1/3211/137 == 1/273 + 1/2751/139 == 1/162 + 1/9791/139 == 1/163 + 1/9441/139 == 1/167 + 1/8291/139 == 1/169 + 1/7831/139 == 1/174 + 1/6911/139 == 1/179 + 1/6221/139 == 1/181 + 1/5991/139 == 1/185 + 1/5591/139 == 1/195 + 1/4841/139 == 1/199 + 1/4611/139 == 1/208 + 1/4191/139 == 1/209 + 1/4151/139 == 1/223 + 1/3691/139 == 1/231 + 1/3491/139 == 1/244 + 1/3231/139 == 1/254 + 1/3071/139 == 1/259 + 1/3001/139 == 1/277 + 1/2791/149 == 1/179 + 1/8891/149 == 1/183 + 1/8021/149 == 1/186 + 1/7491/149 == 1/189 + 1/7041/149 == 1/199 + 1/5931/149 == 1/209 + 1/5191/149 == 1/223 + 1/4491/149 == 1/224 + 1/4451/149 == 1/249 + 1/3711/149 == 1/260 + 1/3491/149 == 1/269 + 1/3341/149 == 1/297 + 1/2991/151 == 1/181 + 1/9111/151 == 1/184 + 1/8421/151 == 1/189 + 1/7511/151 == 1/191 + 1/7211/151 == 1/199 + 1/6261/151 == 1/201 + 1/6071/151 == 1/208 + 1/5511/151 == 1/211 + 1/5311/151 == 1/226 + 1/4551/151 == 1/227 + 1/4511/151 == 1/231 + 1/4361/151 == 1/246 + 1/3911/151 == 1/251 + 1/3791/151 == 1/265 + 1/3511/151 == 1/271 + 1/3411/151 == 1/301 + 1/3031/157 == 1/190 + 1/9041/157 == 1/191 + 1/8821/157 == 1/196 + 1/7891/157 == 1/206 + 1/6601/157 == 1/207 + 1/6501/157 == 1/209 + 1/6311/157 == 1/215 + 1/5821/157 == 1/235 + 1/4731/157 == 1/236 + 1/4691/157 == 1/242 + 1/4471/157 == 1/261 + 1/3941/157 == 1/302 + 1/3271/157 == 1/313 + 1/3151/163 == 1/199 + 1/9011/163 == 1/204 + 1/8111/163 == 1/214 + 1/6841/163 == 1/217 + 1/6551/163 == 1/235 + 1/5321/163 == 1/244 + 1/4911/163 == 1/245 + 1/4871/163 == 1/271 + 1/4091/163 == 1/286 + 1/3791/163 == 1/325 + 1/3271/167 == 1/205 + 1/9011/167 == 1/209 + 1/8311/167 == 1/215 + 1/7481/167 == 1/223 + 1/6651/167 == 1/246 + 1/5201/167 == 1/250 + 1/5031/167 == 1/251 + 1/4991/167 == 1/279 + 1/4161/167 == 1/333 + 1/3351/173 == 1/214 + 1/9031/173 == 1/216 + 1/8691/173 == 1/231 + 1/6891/173 == 1/246 + 1/5831/173 == 1/255 + 1/5381/173 == 1/259 + 1/5211/173 == 1/260 + 1/5171/173 == 1/289 + 1/4311/173 == 1/302 + 1/4051/173 == 1/319 + 1/3781/173 == 1/345 + 1/3471/179 == 1/219 + 1/9801/179 == 1/224 + 1/8911/179 == 1/239 + 1/7131/179 == 1/251 + 1/6241/179 == 1/253 + 1/6121/179 == 1/268 + 1/5391/179 == 1/269 + 1/5351/179 == 1/299 + 1/4461/179 == 1/340 + 1/3781/179 == 1/357 + 1/3591/181 == 1/221 + 1/10001/181 == 1/222 + 1/9801/181 == 1/223 + 1/9611/181 == 1/226 + 1/9091/181 == 1/228 + 1/8781/181 == 1/233 + 1/8111/181 == 1/237 + 1/7661/181 == 1/241 + 1/7271/181 == 1/244 + 1/7011/181 == 1/246 + 1/6851/181 == 1/248 + 1/6701/181 == 1/251 + 1/6491/181 == 1/253 + 1/6361/181 == 1/259 + 1/6011/181 == 1/265 + 1/5711/181 == 1/271 + 1/5451/181 == 1/272 + 1/5411/181 == 1/285 + 1/4961/181 == 1/286 + 1/4931/181 == 1/298 + 1/4611/181 == 1/301 + 1/4541/181 == 1/307 + 1/4411/181 == 1/311 + 1/4331/181 == 1/321 + 1/4151/181 == 1/337 + 1/3911/181 == 1/344 + 1/3821/181 == 1/349 + 1/3761/181 == 1/361 + 1/3631/191 == 1/237 + 1/9841/191 == 1/239 + 1/9511/191 == 1/248 + 1/8311/191 == 1/249 + 1/8201/191 == 1/251 + 1/7991/191 == 1/252 + 1/7891/191 == 1/255 + 1/7611/191 == 1/265 + 1/6841/191 == 1/267 + 1/6711/191 == 1/271 + 1/6471/191 == 1/286 + 1/5751/191 == 1/287 + 1/5711/191 == 1/305 + 1/5111/191 == 1/311 + 1/4951/191 == 1/319 + 1/4761/191 == 1/343 + 1/4311/191 == 1/351 + 1/4191/191 == 1/381 + 1/3831/193 == 1/241 + 1/9691/193 == 1/243 + 1/9381/193 == 1/257 + 1/7751/193 == 1/260 + 1/7491/193 == 1/289 + 1/5811/193 == 1/290 + 1/5771/193 == 1/312 + 1/5061/193 == 1/318 + 1/4911/193 == 1/321 + 1/4841/193 == 1/342 + 1/4431/193 == 1/385 + 1/3871/197 == 1/246 + 1/9891/197 == 1/248 + 1/9581/197 == 1/253 + 1/8901/197 == 1/259 + 1/8231/197 == 1/260 + 1/8131/197 == 1/262 + 1/7941/197 == 1/263 + 1/7851/197 == 1/269 + 1/7361/197 == 1/274 + 1/7011/197 == 1/281 + 1/6591/197 == 1/285 + 1/6381/197 == 1/295 + 1/5931/197 == 1/296 + 1/5891/197 == 1/321 + 1/5101/197 == 1/323 + 1/5051/197 == 1/329 + 1/4911/197 == 1/344 + 1/4611/197 == 1/348 + 1/4541/197 == 1/351 + 1/4491/197 == 1/365 + 1/4281/197 == 1/393 + 1/3951/199 == 1/249 + 1/9911/199 == 1/254 + 1/9191/199 == 1/259 + 1/8591/199 == 1/265 + 1/7991/199 == 1/266 + 1/7901/199 == 1/271 + 1/7491/199 == 1/274 + 1/7271/199 == 1/279 + 1/6941/199 == 1/287 + 1/6491/199 == 1/289 + 1/6391/199 == 1/298 + 1/5991/199 == 1/299 + 1/5951/199 == 1/309 + 1/5591/199 == 1/319 + 1/5291/199 == 1/328 + 1/5061/199 == 1/331 + 1/4991/199 == 1/343 + 1/4741/199 == 1/349 + 1/4631/199 == 1/364 + 1/4391/199 == 1/375 + 1/4241/199 == 1/379 + 1/4191/199 == 1/397 + 1/3991/211 == 1/268 + 1/9921/211 == 1/271 + 1/9531/211 == 1/273 + 1/9291/211 == 1/276 + 1/8961/211 == 1/281 + 1/8471/211 == 1/282 + 1/8381/211 == 1/295 + 1/7411/211 == 1/308 + 1/6701/211 == 1/316 + 1/6351/211 == 1/317 + 1/6311/211 == 1/324 + 1/6051/211 == 1/331 + 1/5821/211 == 1/351 + 1/5291/211 == 1/364 + 1/5021/211 == 1/370 + 1/4911/211 == 1/379 + 1/4761/211 == 1/408 + 1/4371/211 == 1/421 + 1/4231/223 == 1/287 + 1/10001/223 == 1/288 + 1/9881/223 == 1/297 + 1/8951/223 == 1/298 + 1/8861/223 == 1/304 + 1/8371/223 == 1/307 + 1/8151/223 == 1/308 + 1/8081/223 == 1/317 + 1/7521/223 == 1/319 + 1/7411/223 == 1/334 + 1/6711/223 == 1/335 + 1/6671/223 == 1/340 + 1/6481/223 == 1/344 + 1/6341/223 == 1/360 + 1/5861/223 == 1/371 + 1/5591/223 == 1/376 + 1/5481/223 == 1/391 + 1/5191/223 == 1/415 + 1/4821/223 == 1/418 + 1/4781/223 == 1/444 + 1/4481/223 == 1/445 + 1/4471/227 == 1/294 + 1/9961/227 == 1/302 + 1/9141/227 == 1/303 + 1/9051/227 == 1/316 + 1/8061/227 == 1/340 + 1/6831/227 == 1/341 + 1/6791/227 == 1/346 + 1/6601/227 == 1/353 + 1/6361/227 == 1/379 + 1/5661/227 == 1/420 + 1/4941/227 == 1/452 + 1/4561/227 == 1/453 + 1/4551/229 == 1/298 + 1/9891/229 == 1/305 + 1/9191/229 == 1/306 + 1/9101/229 == 1/314 + 1/8461/229 == 1/321 + 1/7991/229 == 1/324 + 1/7811/229 == 1/343 + 1/6891/229 == 1/344 + 1/6851/229 == 1/349 + 1/6661/229 == 1/367 + 1/6091/229 == 1/381 + 1/5741/229 == 1/386 + 1/5631/229 == 1/396 + 1/5431/229 == 1/413 + 1/5141/229 == 1/419 + 1/5051/229 == 1/456 + 1/4601/229 == 1/457 + 1/4591/233 == 1/305 + 1/9871/233 == 1/310 + 1/9381/233 == 1/311 + 1/9291/233 == 1/315 + 1/8951/233 == 1/320 + 1/8571/233 == 1/322 + 1/8431/233 == 1/331 + 1/7871/233 == 1/337 + 1/7551/233 == 1/338 + 1/7501/233 == 1/349 + 1/7011/233 == 1/350 + 1/6971/233 == 1/355 + 1/6781/233 == 1/374 + 1/6181/233 == 1/377 + 1/6101/233 == 1/389 + 1/5811/233 == 1/397 + 1/5641/233 == 1/398 + 1/5621/233 == 1/407 + 1/5451/233 == 1/411 + 1/5381/233 == 1/429 + 1/5101/233 == 1/441 + 1/4941/233 == 1/464 + 1/4681/233 == 1/465 + 1/4671/239 == 1/318 + 1/9621/239 == 1/319 + 1/9531/239 == 1/323 + 1/9191/239 == 1/324 + 1/9111/239 == 1/335 + 1/8341/239 == 1/338 + 1/8161/239 == 1/341 + 1/7991/239 == 1/344 + 1/7831/239 == 1/348 + 1/7631/239 == 1/351 + 1/7491/239 == 1/358 + 1/7191/239 == 1/359 + 1/7151/239 == 1/364 + 1/6961/239 == 1/370 + 1/6751/239 == 1/375 + 1/6591/239 == 1/379 + 1/6471/239 == 1/399 + 1/5961/239 == 1/407 + 1/5791/239 == 1/408 + 1/5771/239 == 1/409 + 1/5751/239 == 1/443 + 1/5191/239 == 1/449 + 1/5111/239 == 1/457 + 1/5011/239 == 1/463 + 1/4941/239 == 1/476 + 1/4801/239 == 1/477 + 1/4791/241 == 1/321 + 1/9671/241 == 1/322 + 1/9581/241 == 1/329 + 1/9011/241 == 1/337 + 1/8461/241 == 1/342 + 1/8161/241 == 1/351 + 1/7691/241 == 1/354 + 1/7551/241 == 1/356 + 1/7461/241 == 1/361 + 1/7251/241 == 1/362 + 1/7211/241 == 1/367 + 1/7021/241 == 1/373 + 1/6811/241 == 1/383 + 1/6501/241 == 1/401 + 1/6041/241 == 1/406 + 1/5931/241 == 1/417 + 1/5711/241 == 1/461 + 1/5051/241 == 1/467 + 1/4981/241 == 1/480 + 1/4841/241 == 1/481 + 1/4831/251 == 1/339 + 1/9671/251 == 1/341 + 1/9511/251 == 1/351 + 1/8811/251 == 1/356 + 1/8511/251 == 1/360 + 1/8291/251 == 1/371 + 1/7761/251 == 1/376 + 1/7551/251 == 1/377 + 1/7511/251 == 1/391 + 1/7011/251 == 1/401 + 1/6711/251 == 1/419 + 1/6261/251 == 1/426 + 1/6111/251 == 1/431 + 1/6011/251 == 1/451 + 1/5661/251 == 1/461 + 1/5511/251 == 1/466 + 1/5441/251 == 1/469 + 1/5401/251 == 1/476 + 1/5311/251 == 1/500 + 1/5041/251 == 1/501 + 1/5031/257 == 1/349 + 1/9751/257 == 1/353 + 1/9451/257 == 1/354 + 1/9381/257 == 1/355 + 1/9311/257 == 1/358 + 1/9111/257 == 1/362 + 1/8861/257 == 1/366 + 1/8631/257 == 1/368 + 1/8521/257 == 1/376 + 1/8121/257 == 1/380 + 1/7941/257 == 1/385 + 1/7731/257 == 1/386 + 1/7691/257 == 1/415 + 1/6751/257 == 1/429 + 1/6411/257 == 1/436 + 1/6261/257 == 1/442 + 1/6141/257 == 1/449 + 1/6011/257 == 1/453 + 1/5941/257 == 1/459 + 1/5841/257 == 1/466 + 1/5731/257 == 1/468 + 1/5701/257 == 1/475 + 1/5601/257 == 1/512 + 1/5161/257 == 1/513 + 1/5151/263 == 1/358 + 1/9911/263 == 1/360 + 1/9761/263 == 1/385 + 1/8301/263 == 1/389 + 1/8121/263 == 1/394 + 1/7911/263 == 1/395 + 1/7871/263 == 1/408 + 1/7401/263 == 1/422 + 1/6981/263 == 1/425 + 1/6901/263 == 1/439 + 1/6561/263 == 1/446 + 1/6411/263 == 1/452 + 1/6291/263 == 1/484 + 1/5761/263 == 1/504 + 1/5501/263 == 1/524 + 1/5281/263 == 1/525 + 1/5271/269 == 1/368 + 1/10001/269 == 1/377 + 1/9391/269 == 1/381 + 1/9151/269 == 1/388 + 1/8771/269 == 1/389 + 1/8721/269 == 1/390 + 1/8671/269 == 1/398 + 1/8301/269 == 1/403 + 1/8091/269 == 1/404 + 1/8051/269 == 1/412 + 1/7751/269 == 1/414 + 1/7681/269 == 1/422 + 1/7421/269 == 1/427 + 1/7271/269 == 1/449 + 1/6711/269 == 1/455 + 1/6581/269 == 1/456 + 1/6561/269 == 1/463 + 1/6421/269 == 1/470 + 1/6291/269 == 1/474 + 1/6221/269 == 1/485 + 1/6041/269 == 1/498 + 1/5851/269 == 1/511 + 1/5681/269 == 1/522 + 1/5551/269 == 1/536 + 1/5401/269 == 1/537 + 1/5391/271 == 1/373 + 1/9911/271 == 1/374 + 1/9841/271 == 1/379 + 1/9511/271 == 1/384 + 1/9211/271 == 1/391 + 1/8831/271 == 1/392 + 1/8781/271 == 1/393 + 1/8731/271 == 1/401 + 1/8361/271 == 1/406 + 1/8151/271 == 1/407 + 1/8111/271 == 1/415 + 1/7811/271 == 1/417 + 1/7741/271 == 1/424 + 1/7511/271 == 1/431 + 1/7301/271 == 1/441 + 1/7031/271 == 1/443 + 1/6981/271 == 1/451 + 1/6791/271 == 1/456 + 1/6681/271 == 1/475 + 1/6311/271 == 1/487 + 1/6111/271 == 1/511 + 1/5771/271 == 1/515 + 1/5721/271 == 1/526 + 1/5591/271 == 1/540 + 1/5441/271 == 1/541 + 1/5431/277 == 1/384 + 1/9941/277 == 1/386 + 1/9811/277 == 1/389 + 1/9621/277 == 1/390 + 1/9561/277 == 1/391 + 1/9501/277 == 1/399 + 1/9061/277 == 1/403 + 1/8861/277 == 1/414 + 1/8371/277 == 1/415 + 1/8331/277 == 1/416 + 1/8291/277 == 1/417 + 1/8251/277 == 1/424 + 1/7991/277 == 1/426 + 1/7921/277 == 1/432 + 1/7721/277 == 1/442 + 1/7421/277 == 1/446 + 1/7311/277 == 1/451 + 1/7181/277 == 1/453 + 1/7131/277 == 1/461 + 1/6941/277 == 1/466 + 1/6831/277 == 1/480 + 1/6551/277 == 1/495 + 1/6291/277 == 1/502 + 1/6181/277 == 1/504 + 1/6151/277 == 1/538 + 1/5711/277 == 1/552 + 1/5561/277 == 1/553 + 1/5551/281 == 1/393 + 1/9861/281 == 1/401 + 1/9391/281 == 1/404 + 1/9231/281 == 1/420 + 1/8491/281 == 1/421 + 1/8451/281 == 1/422 + 1/8411/281 == 1/423 + 1/8371/281 == 1/430 + 1/8111/281 == 1/449 + 1/7511/281 == 1/469 + 1/7011/281 == 1/475 + 1/6881/281 == 1/484 + 1/6701/281 == 1/491 + 1/6571/281 == 1/495 + 1/6501/281 == 1/516 + 1/6171/281 == 1/521 + 1/6101/281 == 1/527 + 1/6021/281 == 1/560 + 1/5641/281 == 1/561 + 1/5631/283 == 1/395 + 1/9981/283 == 1/402 + 1/9561/283 == 1/413 + 1/8991/283 == 1/423 + 1/8551/283 == 1/424 + 1/8511/283 == 1/425 + 1/8471/283 == 1/426 + 1/8431/283 == 1/437 + 1/8031/283 == 1/459 + 1/7381/283 == 1/465 + 1/7231/283 == 1/471 + 1/7091/283 == 1/476 + 1/6981/283 == 1/491 + 1/6681/283 == 1/496 + 1/6591/283 == 1/503 + 1/6471/283 == 1/543 + 1/5911/283 == 1/563 + 1/5691/283 == 1/564 + 1/5681/283 == 1/565 + 1/5671/293 == 1/416 + 1/9911/293 == 1/420 + 1/9691/293 == 1/428 + 1/9291/293 == 1/438 + 1/8851/293 == 1/439 + 1/8811/293 == 1/440 + 1/8771/293 == 1/441 + 1/8731/293 == 1/452 + 1/8331/293 == 1/461 + 1/8041/293 == 1/462 + 1/8011/293 == 1/463 + 1/7981/293 == 1/464 + 1/7951/293 == 1/470 + 1/7781/293 == 1/478 + 1/7571/293 == 1/489 + 1/7311/293 == 1/495 + 1/7181/293 == 1/506 + 1/6961/293 == 1/512 + 1/6851/293 == 1/516 + 1/6781/293 == 1/525 + 1/6631/293 == 1/539 + 1/6421/293 == 1/544 + 1/6351/293 == 1/547 + 1/6311/293 == 1/583 + 1/5891/293 == 1/584 + 1/5881/293 == 1/585 + 1/5871/307 == 1/443 + 1/10001/307 == 1/444 + 1/9951/307 == 1/445 + 1/9901/307 == 1/446 + 1/9851/307 == 1/450 + 1/9661/307 == 1/452 + 1/9571/307 == 1/459 + 1/9271/307 == 1/460 + 1/9231/307 == 1/461 + 1/9191/307 == 1/462 + 1/9151/307 == 1/467 + 1/8961/307 == 1/475 + 1/8681/307 == 1/479 + 1/8551/307 == 1/490 + 1/8221/307 == 1/494 + 1/8111/307 == 1/497 + 1/8031/307 == 1/505 + 1/7831/307 == 1/511 + 1/7691/307 == 1/516 + 1/7581/307 == 1/533 + 1/7241/307 == 1/538 + 1/7151/307 == 1/545 + 1/7031/307 == 1/555 + 1/6871/307 == 1/557 + 1/6841/307 == 1/559 + 1/6811/307 == 1/571 + 1/6641/307 == 1/574 + 1/6601/307 == 1/581 + 1/6511/307 == 1/585 + 1/6461/307 == 1/590 + 1/6401/307 == 1/597 + 1/6321/307 == 1/611 + 1/6171/307 == 1/612 + 1/6161/307 == 1/613 + 1/6151/311 == 1/452 + 1/9971/311 == 1/456 + 1/9781/311 == 1/458 + 1/9691/311 == 1/465 + 1/9391/311 == 1/466 + 1/9351/311 == 1/467 + 1/9311/311 == 1/468 + 1/9271/311 == 1/473 + 1/9081/311 == 1/481 + 1/8801/311 == 1/497 + 1/8311/311 == 1/501 + 1/8201/311 == 1/506 + 1/8071/311 == 1/508 + 1/8021/311 == 1/510 + 1/7971/311 == 1/519 + 1/7761/311 == 1/525 + 1/7631/311 == 1/537 + 1/7391/311 == 1/551 + 1/7141/311 == 1/554 + 1/7091/311 == 1/559 + 1/7011/311 == 1/571 + 1/6831/311 == 1/576 + 1/6761/311 == 1/585 + 1/6641/311 == 1/593 + 1/6541/311 == 1/598 + 1/6481/311 == 1/605 + 1/6401/311 == 1/619 + 1/6251/311 == 1/620 + 1/6241/311 == 1/621 + 1/6231/313 == 1/456 + 1/9981/313 == 1/459 + 1/9841/313 == 1/461 + 1/9751/313 == 1/468 + 1/9451/313 == 1/469 + 1/9411/313 == 1/470 + 1/9371/313 == 1/471 + 1/9331/313 == 1/476 + 1/9141/313 == 1/487 + 1/8761/313 == 1/507 + 1/8181/313 == 1/515 + 1/7981/313 == 1/521 + 1/7841/313 == 1/526 + 1/7731/313 == 1/543 + 1/7391/313 == 1/561 + 1/7081/313 == 1/589 + 1/6681/313 == 1/597 + 1/6581/313 == 1/602 + 1/6521/313 == 1/609 + 1/6441/313 == 1/623 + 1/6291/313 == 1/624 + 1/6281/313 == 1/625 + 1/6271/317 == 1/465 + 1/9961/317 == 1/467 + 1/9871/317 == 1/474 + 1/9571/317 == 1/475 + 1/9531/317 == 1/476 + 1/9491/317 == 1/477 + 1/9451/317 == 1/482 + 1/9261/317 == 1/493 + 1/8881/317 == 1/511 + 1/8351/317 == 1/516 + 1/8221/317 == 1/518 + 1/8171/317 == 1/520 + 1/8121/317 == 1/529 + 1/7911/317 == 1/535 + 1/7781/317 == 1/548 + 1/7521/317 == 1/554 + 1/7411/317 == 1/558 + 1/7341/317 == 1/567 + 1/7191/317 == 1/574 + 1/7081/317 == 1/576 + 1/7051/317 == 1/578 + 1/7021/317 == 1/585 + 1/6921/317 == 1/610 + 1/6601/317 == 1/617 + 1/6521/317 == 1/631 + 1/6371/317 == 1/632 + 1/6361/317 == 1/633 + 1/6351/331 == 1/495 + 1/9991/331 == 1/496 + 1/9951/331 == 1/497 + 1/9911/331 == 1/498 + 1/9871/331 == 1/503 + 1/9681/331 == 1/506 + 1/9571/331 == 1/508 + 1/9501/331 == 1/510 + 1/9431/331 == 1/513 + 1/9331/331 == 1/517 + 1/9201/331 == 1/527 + 1/8901/331 == 1/535 + 1/8681/331 == 1/545 + 1/8431/331 == 1/551 + 1/8291/331 == 1/556 + 1/8181/331 == 1/575 + 1/7801/331 == 1/580 + 1/7711/331 == 1/584 + 1/7641/331 == 1/587 + 1/7591/331 == 1/590 + 1/7541/331 == 1/595 + 1/7461/331 == 1/607 + 1/7281/331 == 1/632 + 1/6951/331 == 1/637 + 1/6891/331 == 1/644 + 1/6811/331 == 1/659 + 1/6651/331 == 1/660 + 1/6641/331 == 1/661 + 1/6631/337 == 1/512 + 1/9861/337 == 1/515 + 1/9751/337 == 1/517 + 1/9681/337 == 1/519 + 1/9611/337 == 1/538 + 1/9021/337 == 1/542 + 1/8911/337 == 1/545 + 1/8831/337 == 1/555 + 1/8581/337 == 1/561 + 1/8441/337 == 1/566 + 1/8331/337 == 1/585 + 1/7951/337 == 1/603 + 1/7641/337 == 1/610 + 1/7531/337 == 1/612 + 1/7501/337 == 1/614 + 1/7471/337 == 1/626 + 1/7301/337 == 1/632 + 1/7221/337 == 1/649 + 1/7011/337 == 1/656 + 1/6931/337 == 1/671 + 1/6771/337 == 1/672 + 1/6761/337 == 1/673 + 1/6751/347 == 1/536 + 1/9841/347 == 1/546 + 1/9521/347 == 1/547 + 1/9491/347 == 1/548 + 1/9461/347 == 1/549 + 1/9431/347 == 1/559 + 1/9151/347 == 1/562 + 1/9071/347 == 1/570 + 1/8871/347 == 1/579 + 1/8661/347 == 1/584 + 1/8551/347 == 1/601 + 1/8211/347 == 1/614 + 1/7981/347 == 1/617 + 1/7931/347 == 1/620 + 1/7881/347 == 1/627 + 1/7771/347 == 1/629 + 1/7741/347 == 1/631 + 1/7711/347 == 1/633 + 1/7681/347 == 1/640 + 1/7581/347 == 1/648 + 1/7471/347 == 1/663 + 1/7281/347 == 1/676 + 1/7131/347 == 1/690 + 1/6981/347 == 1/691 + 1/6971/347 == 1/692 + 1/6961/347 == 1/693 + 1/6951/349 == 1/539 + 1/9901/349 == 1/542 + 1/9801/349 == 1/548 + 1/9611/349 == 1/549 + 1/9581/349 == 1/550 + 1/9551/349 == 1/551 + 1/9521/349 == 1/552 + 1/9491/349 == 1/553 + 1/9461/349 == 1/559 + 1/9291/349 == 1/575 + 1/8881/349 == 1/581 + 1/8741/349 == 1/586 + 1/8631/349 == 1/606 + 1/8231/349 == 1/629 + 1/7841/349 == 1/639 + 1/7691/349 == 1/649 + 1/7551/349 == 1/652 + 1/7511/349 == 1/655 + 1/7471/349 == 1/667 + 1/7321/349 == 1/680 + 1/7171/349 == 1/694 + 1/7021/349 == 1/695 + 1/7011/349 == 1/696 + 1/7001/349 == 1/697 + 1/6991/353 == 1/548 + 1/9921/353 == 1/553 + 1/9761/353 == 1/554 + 1/9731/353 == 1/560 + 1/9551/353 == 1/561 + 1/9521/353 == 1/566 + 1/9381/353 == 1/572 + 1/9221/353 == 1/580 + 1/9021/353 == 1/589 + 1/8811/353 == 1/594 + 1/8701/353 == 1/611 + 1/8361/353 == 1/617 + 1/8251/353 == 1/621 + 1/8181/353 == 1/633 + 1/7981/353 == 1/649 + 1/7741/353 == 1/654 + 1/7671/353 == 1/663 + 1/7551/353 == 1/675 + 1/7401/353 == 1/688 + 1/7251/353 == 1/702 + 1/7101/353 == 1/703 + 1/7091/353 == 1/704 + 1/7081/353 == 1/705 + 1/7071/359 == 1/561 + 1/9971/359 == 1/571 + 1/9671/359 == 1/572 + 1/9641/359 == 1/576 + 1/9531/359 == 1/582 + 1/9371/359 == 1/590 + 1/9171/359 == 1/599 + 1/8961/359 == 1/604 + 1/8851/359 == 1/622 + 1/8491/359 == 1/635 + 1/8261/359 == 1/638 + 1/8211/359 == 1/641 + 1/8161/359 == 1/646 + 1/8081/359 == 1/648 + 1/8051/359 == 1/656 + 1/7931/359 == 1/658 + 1/7901/359 == 1/663 + 1/7831/359 == 1/678 + 1/7631/359 == 1/682 + 1/7581/359 == 1/692 + 1/7461/359 == 1/700 + 1/7371/359 == 1/714 + 1/7221/359 == 1/715 + 1/7211/359 == 1/716 + 1/7201/359 == 1/717 + 1/7191/367 == 1/586 + 1/9821/367 == 1/590 + 1/9711/367 == 1/593 + 1/9631/367 == 1/598 + 1/9501/367 == 1/600 + 1/9451/367 == 1/605 + 1/9331/367 == 1/611 + 1/9191/367 == 1/616 + 1/9081/367 == 1/625 + 1/8891/367 == 1/626 + 1/8871/367 == 1/627 + 1/8851/367 == 1/628 + 1/8831/367 == 1/638 + 1/8641/367 == 1/643 + 1/8551/367 == 1/647 + 1/8481/367 == 1/650 + 1/8431/367 == 1/653 + 1/8381/367 == 1/656 + 1/8331/367 == 1/663 + 1/8221/367 == 1/665 + 1/8191/367 == 1/667 + 1/8161/367 == 1/669 + 1/8131/367 == 1/671 + 1/8101/367 == 1/681 + 1/7961/367 == 1/690 + 1/7841/367 == 1/702 + 1/7691/367 == 1/708 + 1/7621/367 == 1/715 + 1/7541/367 == 1/730 + 1/7381/367 == 1/731 + 1/7371/367 == 1/732 + 1/7361/367 == 1/733 + 1/7351/373 == 1/600 + 1/9861/373 == 1/603 + 1/9781/373 == 1/608 + 1/9651/373 == 1/610 + 1/9601/373 == 1/615 + 1/9481/373 == 1/621 + 1/9341/373 == 1/626 + 1/9231/373 == 1/634 + 1/9061/373 == 1/635 + 1/9041/373 == 1/636 + 1/9021/373 == 1/637 + 1/9001/373 == 1/638 + 1/8981/373 == 1/639 + 1/8961/373 == 1/648 + 1/8791/373 == 1/669 + 1/8431/373 == 1/714 + 1/7811/373 == 1/720 + 1/7741/373 == 1/727 + 1/7661/373 == 1/742 + 1/7501/373 == 1/743 + 1/7491/373 == 1/744 + 1/7481/373 == 1/745 + 1/7471/379 == 1/616 + 1/9851/379 == 1/618 + 1/9801/379 == 1/620 + 1/9751/379 == 1/631 + 1/9491/379 == 1/636 + 1/9381/379 == 1/644 + 1/9211/379 == 1/645 + 1/9191/379 == 1/646 + 1/9171/379 == 1/647 + 1/9151/379 == 1/648 + 1/9131/379 == 1/649 + 1/9111/379 == 1/650 + 1/9091/379 == 1/659 + 1/8921/379 == 1/664 + 1/8831/379 == 1/668 + 1/8761/379 == 1/677 + 1/8611/379 == 1/682 + 1/8531/379 == 1/684 + 1/8501/379 == 1/694 + 1/8351/379 == 1/704 + 1/8211/379 == 1/710 + 1/8131/379 == 1/713 + 1/8091/379 == 1/717 + 1/8041/379 == 1/721 + 1/7991/379 == 1/726 + 1/7931/379 == 1/739 + 1/7781/379 == 1/754 + 1/7621/379 == 1/755 + 1/7611/379 == 1/756 + 1/7601/379 == 1/757 + 1/7591/383 == 1/639 + 1/9561/383 == 1/644 + 1/9451/383 == 1/664 + 1/9051/383 == 1/677 + 1/8821/383 == 1/683 + 1/8721/383 == 1/688 + 1/8641/383 == 1/704 + 1/8401/383 == 1/709 + 1/8331/383 == 1/721 + 1/8171/383 == 1/729 + 1/8071/383 == 1/739 + 1/7951/383 == 1/747 + 1/7861/383 == 1/762 + 1/7701/383 == 1/763 + 1/7691/383 == 1/764 + 1/7681/383 == 1/765 + 1/7671/389 == 1/649 + 1/9711/389 == 1/654 + 1/9601/389 == 1/674 + 1/9201/389 == 1/680 + 1/9091/389 == 1/684 + 1/9021/389 == 1/691 + 1/8901/389 == 1/701 + 1/8741/389 == 1/711 + 1/8591/389 == 1/713 + 1/8561/389 == 1/718 + 1/8491/389 == 1/723 + 1/8421/389 == 1/726 + 1/8381/389 == 1/729 + 1/8341/389 == 1/745 + 1/8141/389 == 1/751 + 1/8071/389 == 1/759 + 1/7981/389 == 1/774 + 1/7821/389 == 1/775 + 1/7811/389 == 1/776 + 1/7801/389 == 1/777 + 1/7791/397 == 1/661 + 1/9941/397 == 1/665 + 1/9851/397 == 1/666 + 1/9831/397 == 1/673 + 1/9681/397 == 1/674 + 1/9661/397 == 1/675 + 1/9641/397 == 1/680 + 1/9541/397 == 1/681 + 1/9521/397 == 1/682 + 1/9501/397 == 1/683 + 1/9481/397 == 1/690 + 1/9351/397 == 1/691 + 1/9331/397 == 1/703 + 1/9121/397 == 1/706 + 1/9071/397 == 1/711 + 1/8991/397 == 1/716 + 1/8911/397 == 1/718 + 1/8881/397 == 1/720 + 1/8851/397 == 1/722 + 1/8821/397 == 1/724 + 1/8791/397 == 1/726 + 1/8761/397 == 1/733 + 1/8661/397 == 1/748 + 1/8461/397 == 1/752 + 1/8411/397 == 1/756 + 1/8361/397 == 1/761 + 1/8301/397 == 1/767 + 1/8231/397 == 1/774 + 1/8151/397 == 1/775 + 1/8141/397 == 1/789 + 1/7991/397 == 1/790 + 1/7981/397 == 1/791 + 1/7971/397 == 1/792 + 1/7961/397 == 1/793 + 1/7951/401 == 1/674 + 1/9901/401 == 1/695 + 1/9481/401 == 1/696 + 1/9461/401 == 1/701 + 1/9371/401 == 1/705 + 1/9301/401 == 1/709 + 1/9231/401 == 1/712 + 1/9181/401 == 1/720 + 1/9051/401 == 1/722 + 1/9021/401 == 1/736 + 1/8811/401 == 1/741 + 1/8741/401 == 1/749 + 1/8631/401 == 1/756 + 1/8541/401 == 1/764 + 1/8441/401 == 1/769 + 1/8381/401 == 1/775 + 1/8311/401 == 1/782 + 1/8231/401 == 1/783 + 1/8221/401 == 1/797 + 1/8071/401 == 1/798 + 1/8061/401 == 1/799 + 1/8051/401 == 1/800 + 1/8041/401 == 1/801 + 1/8031/409 == 1/692 + 1/10001/409 == 1/693 + 1/9981/409 == 1/694 + 1/9961/409 == 1/702 + 1/9801/409 == 1/703 + 1/9781/409 == 1/704 + 1/9761/409 == 1/711 + 1/9631/409 == 1/712 + 1/9611/409 == 1/724 + 1/9401/409 == 1/727 + 1/9351/409 == 1/737 + 1/9191/409 == 1/749 + 1/9011/409 == 1/756 + 1/8911/409 == 1/759 + 1/8871/409 == 1/768 + 1/8751/409 == 1/775 + 1/8661/409 == 1/790 + 1/8481/409 == 1/798 + 1/8391/409 == 1/813 + 1/8231/409 == 1/814 + 1/8221/409 == 1/815 + 1/8211/409 == 1/816 + 1/8201/409 == 1/817 + 1/8191/419 == 1/727 + 1/9891/419 == 1/737 + 1/9711/419 == 1/740 + 1/9661/419 == 1/749 + 1/9511/419 == 1/754 + 1/9431/419 == 1/756 + 1/9401/419 == 1/766 + 1/9251/419 == 1/768 + 1/9221/419 == 1/773 + 1/9151/419 == 1/778 + 1/9081/419 == 1/781 + 1/9041/419 == 1/784 + 1/9001/419 == 1/787 + 1/8961/419 == 1/791 + 1/8911/419 == 1/799 + 1/8811/419 == 1/804 + 1/8751/419 == 1/810 + 1/8681/419 == 1/818 + 1/8591/419 == 1/833 + 1/8431/419 == 1/834 + 1/8421/419 == 1/835 + 1/8411/419 == 1/836 + 1/8401/419 == 1/837 + 1/8391/421 == 1/732 + 1/9911/421 == 1/733 + 1/9891/421 == 1/745 + 1/9681/421 == 1/748 + 1/9631/421 == 1/756 + 1/9501/421 == 1/758 + 1/9471/421 == 1/772 + 1/9261/421 == 1/782 + 1/9121/421 == 1/785 + 1/9081/421 == 1/788 + 1/9041/421 == 1/791 + 1/9001/421 == 1/803 + 1/8851/421 == 1/808 + 1/8791/421 == 1/814 + 1/8721/421 == 1/822 + 1/8631/421 == 1/837 + 1/8471/421 == 1/838 + 1/8461/421 == 1/839 + 1/8451/421 == 1/840 + 1/8441/421 == 1/841 + 1/8431/431 == 1/758 + 1/9991/431 == 1/761 + 1/9941/431 == 1/770 + 1/9791/431 == 1/775 + 1/9711/431 == 1/791 + 1/9471/431 == 1/796 + 1/9401/431 == 1/801 + 1/9331/431 == 1/804 + 1/9291/431 == 1/807 + 1/9251/431 == 1/814 + 1/9161/431 == 1/818 + 1/9111/431 == 1/834 + 1/8921/431 == 1/841 + 1/8841/431 == 1/842 + 1/8831/431 == 1/857 + 1/8671/431 == 1/858 + 1/8661/431 == 1/859 + 1/8651/431 == 1/860 + 1/8641/431 == 1/861 + 1/8631/433 == 1/766 + 1/9961/433 == 1/769 + 1/9911/433 == 1/772 + 1/9861/433 == 1/777 + 1/9781/433 == 1/795 + 1/9511/433 == 1/797 + 1/9481/433 == 1/805 + 1/9371/433 == 1/808 + 1/9331/433 == 1/811 + 1/9291/433 == 1/818 + 1/9201/433 == 1/822 + 1/9151/433 == 1/826 + 1/9101/433 == 1/831 + 1/9041/433 == 1/838 + 1/8961/433 == 1/845 + 1/8881/433 == 1/846 + 1/8871/433 == 1/861 + 1/8711/433 == 1/862 + 1/8701/433 == 1/863 + 1/8691/433 == 1/864 + 1/8681/433 == 1/865 + 1/8671/439 == 1/785 + 1/9961/439 == 1/790 + 1/9881/439 == 1/792 + 1/9851/439 == 1/802 + 1/9701/439 == 1/804 + 1/9671/439 == 1/811 + 1/9571/439 == 1/814 + 1/9531/439 == 1/826 + 1/9371/439 == 1/838 + 1/9221/439 == 1/843 + 1/9161/439 == 1/849 + 1/9091/439 == 1/857 + 1/9001/439 == 1/858 + 1/8991/439 == 1/873 + 1/8831/439 == 1/874 + 1/8821/439 == 1/875 + 1/8811/439 == 1/876 + 1/8801/439 == 1/877 + 1/8791/443 == 1/796 + 1/9991/443 == 1/814 + 1/9721/443 == 1/819 + 1/9651/443 == 1/824 + 1/9581/443 == 1/827 + 1/9541/443 == 1/834 + 1/9451/443 == 1/846 + 1/9301/443 == 1/851 + 1/9241/443 == 1/857 + 1/9171/443 == 1/865 + 1/9081/443 == 1/866 + 1/9071/443 == 1/881 + 1/8911/443 == 1/882 + 1/8901/443 == 1/883 + 1/8891/443 == 1/884 + 1/8881/443 == 1/885 + 1/8871/449 == 1/821 + 1/9911/449 == 1/823 + 1/9881/449 == 1/828 + 1/9811/449 == 1/833 + 1/9741/449 == 1/836 + 1/9701/449 == 1/839 + 1/9661/449 == 1/842 + 1/9621/449 == 1/849 + 1/9531/449 == 1/853 + 1/9481/449 == 1/858 + 1/9421/449 == 1/863 + 1/9361/449 == 1/869 + 1/9291/449 == 1/877 + 1/9201/449 == 1/878 + 1/9191/449 == 1/892 + 1/9041/449 == 1/893 + 1/9031/449 == 1/894 + 1/9021/449 == 1/895 + 1/9011/449 == 1/896 + 1/9001/449 == 1/897 + 1/8991/457 == 1/843 + 1/9981/457 == 1/851 + 1/9871/457 == 1/854 + 1/9831/457 == 1/861 + 1/9741/457 == 1/869 + 1/9641/457 == 1/873 + 1/9591/457 == 1/878 + 1/9531/457 == 1/885 + 1/9451/457 == 1/893 + 1/9361/457 == 1/894 + 1/9351/457 == 1/908 + 1/9201/457 == 1/909 + 1/9191/457 == 1/910 + 1/9181/457 == 1/911 + 1/9171/457 == 1/912 + 1/9161/457 == 1/913 + 1/9151/461 == 1/856 + 1/9991/461 == 1/859 + 1/9951/461 == 1/862 + 1/9911/461 == 1/865 + 1/9871/461 == 1/872 + 1/9781/461 == 1/881 + 1/9671/461 == 1/886 + 1/9611/461 == 1/892 + 1/9541/461 == 1/893 + 1/9531/461 == 1/901 + 1/9441/461 == 1/916 + 1/9281/461 == 1/917 + 1/9271/461 == 1/918 + 1/9261/461 == 1/919 + 1/9251/461 == 1/920 + 1/9241/461 == 1/921 + 1/9231/463 == 1/863 + 1/9991/463 == 1/866 + 1/9951/463 == 1/869 + 1/9911/463 == 1/876 + 1/9821/463 == 1/880 + 1/9771/463 == 1/885 + 1/9711/463 == 1/890 + 1/9651/463 == 1/896 + 1/9581/463 == 1/897 + 1/9571/463 == 1/905 + 1/9481/463 == 1/920 + 1/9321/463 == 1/921 + 1/9311/463 == 1/922 + 1/9301/463 == 1/923 + 1/9291/463 == 1/924 + 1/9281/463 == 1/925 + 1/9271/467 == 1/877 + 1/9991/467 == 1/880 + 1/9951/467 == 1/884 + 1/9901/467 == 1/888 + 1/9851/467 == 1/893 + 1/9791/467 == 1/898 + 1/9731/467 == 1/904 + 1/9661/467 == 1/905 + 1/9651/467 == 1/912 + 1/9571/467 == 1/913 + 1/9561/467 == 1/928 + 1/9401/467 == 1/929 + 1/9391/467 == 1/930 + 1/9381/467 == 1/931 + 1/9371/467 == 1/932 + 1/9361/467 == 1/933 + 1/9351/479 == 1/921 + 1/9981/479 == 1/922 + 1/9971/479 == 1/928 + 1/9901/479 == 1/936 + 1/9811/479 == 1/937 + 1/9801/479 == 1/952 + 1/9641/479 == 1/953 + 1/9631/479 == 1/954 + 1/9621/479 == 1/955 + 1/9611/479 == 1/956 + 1/9601/479 == 1/957 + 1/9591/487 == 1/952 + 1/9971/487 == 1/953 + 1/9961/487 == 1/968 + 1/9801/487 == 1/969 + 1/9791/487 == 1/970 + 1/9781/487 == 1/971 + 1/9771/487 == 1/972 + 1/9761/487 == 1/973 + 1/9751/491 == 1/976 + 1/9881/491 == 1/977 + 1/9871/491 == 1/978 + 1/9861/491 == 1/979 + 1/9851/491 == 1/980 + 1/9841/491 == 1/981 + 1/9831/499 == 1/996 + 1/10001/499 == 1/997 + 1/999Körde som sagt bara ner till 1/1000 för summeringarna. Redigerat 31 Mars 2013 av WASD Citera Länk till kommentar Dela på andra sajter More sharing options...
Dave37 Skrivet 31 Mars 2013 Rapport Dela Skrivet 31 Mars 2013 (redigerat) Det där kan inte stämma, WA säger att de enda bråken som finns för 1/479 är:1/480 + 1/2299201/958 + 1/958 Alltså talföljden480, 958, 229920 Så det måste vara något avrundningsfel eller nått i ditt program. Felet blir i storleksordningen 10^-8, så se till att ditt program är jävligt noggrant, annars kommer det snabbt misslyckas att räkna så stora bråk. Redigerat 31 Mars 2013 av Dave37 Citera Länk till kommentar Dela på andra sajter More sharing options...
WASD Skrivet 31 Mars 2013 Rapport Dela Skrivet 31 Mars 2013 Som sagt så räknade jag bara ner till 1/1000. Inte 1/229920. Det skulle ta enormt mycket längre tid. Varje enskilt bråk tar n^2/2 iterationer med min algoritm. Tar för lång tid om jag ska räkna så högt. Citera Länk till kommentar Dela på andra sajter More sharing options...
Dave37 Skrivet 31 Mars 2013 Rapport Dela Skrivet 31 Mars 2013 (redigerat) Då låter vi bli tal lägre än 1/100 då för säkerhets skull. Kan du generera fram en lite längre lista än den jag har i #12 med liknande uppställning men då måste du ha med de som är "halva"? Redigerat 31 Mars 2013 av Dave37 Citera Länk till kommentar Dela på andra sajter More sharing options...
WASD Skrivet 31 Mars 2013 Rapport Dela Skrivet 31 Mars 2013 (redigerat) Ensamma bråken 1/1 till 1/100 inklusive 1/(2b)+1/(2b) med summeringsförsök ner till 1/10000 i samma format som inlägg #12. 1: 1/1 = 1/2 + 1/22, 2: 1/2 = 1/3 + 1/61/2 = 1/4 + 1/43, 4, 6, 3: 1/3 = 1/4 + 1/121/3 = 1/6 + 1/64, 6, 12, 4: 1/4 = 1/5 + 1/201/4 = 1/6 + 1/121/4 = 1/8 + 1/85, 6, 8, 12, 20, 5: 1/5 = 1/6 + 1/301/5 = 1/10 + 1/106, 10, 30, 6: 1/6 = 1/7 + 1/421/6 = 1/8 + 1/241/6 = 1/9 + 1/181/6 = 1/10 + 1/151/6 = 1/12 + 1/127, 8, 9, 10, 12, 15, 18, 24, 42, 7: 1/7 = 1/8 + 1/561/7 = 1/14 + 1/148, 14, 56, 8: 1/8 = 1/9 + 1/721/8 = 1/10 + 1/401/8 = 1/12 + 1/241/8 = 1/16 + 1/169, 10, 12, 16, 24, 40, 72, 9: 1/9 = 1/10 + 1/901/9 = 1/12 + 1/361/9 = 1/18 + 1/1810, 12, 18, 36, 90, 10: 1/10 = 1/11 + 1/1101/10 = 1/12 + 1/601/10 = 1/14 + 1/351/10 = 1/15 + 1/301/10 = 1/20 + 1/2011, 12, 14, 15, 20, 30, 35, 60, 110, 11: 1/11 = 1/12 + 1/1321/11 = 1/22 + 1/2212, 22, 132, 12: 1/12 = 1/13 + 1/1561/12 = 1/14 + 1/841/12 = 1/15 + 1/601/12 = 1/16 + 1/481/12 = 1/18 + 1/361/12 = 1/20 + 1/301/12 = 1/21 + 1/281/12 = 1/24 + 1/2413, 14, 15, 16, 18, 20, 21, 24, 28, 30, 36, 48, 60, 84, 156, 13: 1/13 = 1/14 + 1/1821/13 = 1/26 + 1/2614, 26, 182, 14: 1/14 = 1/15 + 1/2101/14 = 1/16 + 1/1121/14 = 1/18 + 1/631/14 = 1/21 + 1/421/14 = 1/28 + 1/2815, 16, 18, 21, 28, 42, 63, 112, 210, 15: 1/15 = 1/16 + 1/2401/15 = 1/18 + 1/901/15 = 1/20 + 1/601/15 = 1/24 + 1/401/15 = 1/30 + 1/3016, 18, 20, 24, 30, 40, 60, 90, 240, 16: 1/16 = 1/17 + 1/2721/16 = 1/18 + 1/1441/16 = 1/20 + 1/801/16 = 1/24 + 1/481/16 = 1/32 + 1/3217, 18, 20, 24, 32, 48, 80, 144, 272, 17: 1/17 = 1/18 + 1/3061/17 = 1/34 + 1/3418, 34, 306, 18: 1/18 = 1/19 + 1/3421/18 = 1/20 + 1/1801/18 = 1/21 + 1/1261/18 = 1/22 + 1/991/18 = 1/24 + 1/721/18 = 1/27 + 1/541/18 = 1/30 + 1/451/18 = 1/36 + 1/3619, 20, 21, 22, 24, 27, 30, 36, 45, 54, 72, 99, 126, 180, 342, 19: 1/19 = 1/20 + 1/3801/19 = 1/38 + 1/3820, 38, 380, 20: 1/20 = 1/21 + 1/4201/20 = 1/22 + 1/2201/20 = 1/24 + 1/1201/20 = 1/25 + 1/1001/20 = 1/28 + 1/701/20 = 1/30 + 1/601/20 = 1/36 + 1/451/20 = 1/40 + 1/4021, 22, 24, 25, 28, 30, 36, 40, 45, 60, 70, 100, 120, 220, 420, 21: 1/21 = 1/22 + 1/4621/21 = 1/24 + 1/1681/21 = 1/28 + 1/841/21 = 1/30 + 1/701/21 = 1/42 + 1/4222, 24, 28, 30, 42, 70, 84, 168, 462, 22: 1/22 = 1/23 + 1/5061/22 = 1/24 + 1/2641/22 = 1/26 + 1/1431/22 = 1/33 + 1/661/22 = 1/44 + 1/4423, 24, 26, 33, 44, 66, 143, 264, 506, 23: 1/23 = 1/24 + 1/5521/23 = 1/46 + 1/4624, 46, 552, 24: 1/24 = 1/25 + 1/6001/24 = 1/26 + 1/3121/24 = 1/27 + 1/2161/24 = 1/28 + 1/1681/24 = 1/30 + 1/1201/24 = 1/32 + 1/961/24 = 1/33 + 1/881/24 = 1/36 + 1/721/24 = 1/40 + 1/601/24 = 1/42 + 1/561/24 = 1/48 + 1/4825, 26, 27, 28, 30, 32, 33, 36, 40, 42, 48, 56, 60, 72, 88, 96, 120, 168, 216, 312, 600, 25: 1/25 = 1/26 + 1/6501/25 = 1/30 + 1/1501/25 = 1/50 + 1/5026, 30, 50, 150, 650, 26: 1/26 = 1/27 + 1/7021/26 = 1/28 + 1/3641/26 = 1/30 + 1/1951/26 = 1/39 + 1/781/26 = 1/52 + 1/5227, 28, 30, 39, 52, 78, 195, 364, 702, 27: 1/27 = 1/28 + 1/7561/27 = 1/30 + 1/2701/27 = 1/36 + 1/1081/27 = 1/54 + 1/5428, 30, 36, 54, 108, 270, 756, 28: 1/28 = 1/29 + 1/8121/28 = 1/30 + 1/4201/28 = 1/32 + 1/2241/28 = 1/35 + 1/1401/28 = 1/36 + 1/1261/28 = 1/42 + 1/841/28 = 1/44 + 1/771/28 = 1/56 + 1/5629, 30, 32, 35, 36, 42, 44, 56, 77, 84, 126, 140, 224, 420, 812, 29: 1/29 = 1/30 + 1/8701/29 = 1/58 + 1/5830, 58, 870, 30: 1/30 = 1/31 + 1/9301/30 = 1/32 + 1/4801/30 = 1/33 + 1/3301/30 = 1/34 + 1/2551/30 = 1/35 + 1/2101/30 = 1/36 + 1/1801/30 = 1/39 + 1/1301/30 = 1/40 + 1/1201/30 = 1/42 + 1/1051/30 = 1/45 + 1/901/30 = 1/48 + 1/801/30 = 1/50 + 1/751/30 = 1/55 + 1/661/30 = 1/60 + 1/6031, 32, 33, 34, 35, 36, 39, 40, 42, 45, 48, 50, 55, 60, 66, 75, 80, 90, 105, 120, 130, 180, 210, 255, 330, 480, 930, 31: 1/31 = 1/32 + 1/9921/31 = 1/62 + 1/6232, 62, 992, 32: 1/32 = 1/33 + 1/10561/32 = 1/34 + 1/5441/32 = 1/36 + 1/2881/32 = 1/40 + 1/1601/32 = 1/48 + 1/961/32 = 1/64 + 1/6433, 34, 36, 40, 48, 64, 96, 160, 288, 544, 1056, 33: 1/33 = 1/34 + 1/11221/33 = 1/36 + 1/3961/33 = 1/42 + 1/1541/33 = 1/44 + 1/1321/33 = 1/66 + 1/6634, 36, 42, 44, 66, 132, 154, 396, 1122, 34: 1/34 = 1/35 + 1/11901/34 = 1/36 + 1/6121/34 = 1/38 + 1/3231/34 = 1/51 + 1/1021/34 = 1/68 + 1/6835, 36, 38, 51, 68, 102, 323, 612, 1190, 35: 1/35 = 1/36 + 1/12601/35 = 1/40 + 1/2801/35 = 1/42 + 1/2101/35 = 1/60 + 1/841/35 = 1/70 + 1/7036, 40, 42, 60, 70, 84, 210, 280, 1260, 36: 1/36 = 1/37 + 1/13321/36 = 1/38 + 1/6841/36 = 1/39 + 1/4681/36 = 1/40 + 1/3601/36 = 1/42 + 1/2521/36 = 1/44 + 1/1981/36 = 1/45 + 1/1801/36 = 1/48 + 1/1441/36 = 1/52 + 1/1171/36 = 1/54 + 1/1081/36 = 1/60 + 1/901/36 = 1/63 + 1/841/36 = 1/72 + 1/7237, 38, 39, 40, 42, 44, 45, 48, 52, 54, 60, 63, 72, 84, 90, 108, 117, 144, 180, 198, 252, 360, 468, 684, 1332, 37: 1/37 = 1/38 + 1/14061/37 = 1/74 + 1/7438, 74, 1406, 38: 1/38 = 1/39 + 1/14821/38 = 1/40 + 1/7601/38 = 1/42 + 1/3991/38 = 1/57 + 1/1141/38 = 1/76 + 1/7639, 40, 42, 57, 76, 114, 399, 760, 1482, 39: 1/39 = 1/40 + 1/15601/39 = 1/42 + 1/5461/39 = 1/48 + 1/2081/39 = 1/52 + 1/1561/39 = 1/78 + 1/7840, 42, 48, 52, 78, 156, 208, 546, 1560, 40: 1/40 = 1/41 + 1/16401/40 = 1/42 + 1/8401/40 = 1/44 + 1/4401/40 = 1/45 + 1/3601/40 = 1/48 + 1/2401/40 = 1/50 + 1/2001/40 = 1/56 + 1/1401/40 = 1/60 + 1/1201/40 = 1/65 + 1/1041/40 = 1/72 + 1/901/40 = 1/80 + 1/8041, 42, 44, 45, 48, 50, 56, 60, 65, 72, 80, 90, 104, 120, 140, 200, 240, 360, 440, 840, 1640, 41: 1/41 = 1/42 + 1/17221/41 = 1/82 + 1/8242, 82, 1722, 42: 1/42 = 1/43 + 1/18061/42 = 1/44 + 1/9241/42 = 1/45 + 1/6301/42 = 1/46 + 1/4831/42 = 1/48 + 1/3361/42 = 1/49 + 1/2941/42 = 1/51 + 1/2381/42 = 1/54 + 1/1891/42 = 1/56 + 1/1681/42 = 1/60 + 1/1401/42 = 1/63 + 1/1261/42 = 1/70 + 1/1051/42 = 1/78 + 1/911/42 = 1/84 + 1/8443, 44, 45, 46, 48, 49, 51, 54, 56, 60, 63, 70, 78, 84, 91, 105, 126, 140, 168, 189, 238, 294, 336, 483, 630, 924, 1806, 43: 1/43 = 1/44 + 1/18921/43 = 1/86 + 1/8644, 86, 1892, 44: 1/44 = 1/45 + 1/19801/44 = 1/46 + 1/10121/44 = 1/48 + 1/5281/44 = 1/52 + 1/2861/44 = 1/55 + 1/2201/44 = 1/60 + 1/1651/44 = 1/66 + 1/1321/44 = 1/88 + 1/8845, 46, 48, 52, 55, 60, 66, 88, 132, 165, 220, 286, 528, 1012, 1980, 45: 1/45 = 1/46 + 1/20701/45 = 1/48 + 1/7201/45 = 1/50 + 1/4501/45 = 1/54 + 1/2701/45 = 1/60 + 1/1801/45 = 1/70 + 1/1261/45 = 1/72 + 1/1201/45 = 1/90 + 1/9046, 48, 50, 54, 60, 70, 72, 90, 120, 126, 180, 270, 450, 720, 2070, 46: 1/46 = 1/47 + 1/21621/46 = 1/48 + 1/11041/46 = 1/50 + 1/5751/46 = 1/69 + 1/1381/46 = 1/92 + 1/9247, 48, 50, 69, 92, 138, 575, 1104, 2162, 47: 1/47 = 1/48 + 1/22561/47 = 1/94 + 1/9448, 94, 2256, 48: 1/48 = 1/49 + 1/23521/48 = 1/50 + 1/12001/48 = 1/51 + 1/8161/48 = 1/52 + 1/6241/48 = 1/54 + 1/4321/48 = 1/56 + 1/3361/48 = 1/57 + 1/3041/48 = 1/60 + 1/2401/48 = 1/64 + 1/1921/48 = 1/66 + 1/1761/48 = 1/72 + 1/1441/48 = 1/80 + 1/1201/48 = 1/84 + 1/1121/48 = 1/96 + 1/9649, 50, 51, 52, 54, 56, 57, 60, 64, 66, 72, 80, 84, 96, 112, 120, 144, 176, 192, 240, 304, 336, 432, 624, 816, 1200, 2352, 49: 1/49 = 1/50 + 1/24501/49 = 1/56 + 1/3921/49 = 1/98 + 1/9850, 56, 98, 392, 2450, 50: 1/50 = 1/51 + 1/25501/50 = 1/52 + 1/13001/50 = 1/54 + 1/6751/50 = 1/55 + 1/5501/50 = 1/60 + 1/3001/50 = 1/70 + 1/1751/50 = 1/75 + 1/1501/50 = 1/100 + 1/10051, 52, 54, 55, 60, 70, 75, 100, 150, 175, 300, 550, 675, 1300, 2550, 51: 1/51 = 1/52 + 1/26521/51 = 1/54 + 1/9181/51 = 1/60 + 1/3401/51 = 1/68 + 1/2041/51 = 1/102 + 1/10252, 54, 60, 68, 102, 204, 340, 918, 2652, 52: 1/52 = 1/53 + 1/27561/52 = 1/54 + 1/14041/52 = 1/56 + 1/7281/52 = 1/60 + 1/3901/52 = 1/65 + 1/2601/52 = 1/68 + 1/2211/52 = 1/78 + 1/1561/52 = 1/104 + 1/10453, 54, 56, 60, 65, 68, 78, 104, 156, 221, 260, 390, 728, 1404, 2756, 53: 1/53 = 1/54 + 1/28621/53 = 1/106 + 1/10654, 106, 2862, 54: 1/54 = 1/55 + 1/29701/54 = 1/56 + 1/15121/54 = 1/57 + 1/10261/54 = 1/58 + 1/7831/54 = 1/60 + 1/5401/54 = 1/63 + 1/3781/54 = 1/66 + 1/2971/54 = 1/72 + 1/2161/54 = 1/81 + 1/1621/54 = 1/90 + 1/1351/54 = 1/108 + 1/10855, 56, 57, 58, 60, 63, 66, 72, 81, 90, 108, 135, 162, 216, 297, 378, 540, 783, 1026, 1512, 2970, 55: 1/55 = 1/56 + 1/30801/55 = 1/60 + 1/6601/55 = 1/66 + 1/3301/55 = 1/80 + 1/1761/55 = 1/110 + 1/11056, 60, 66, 80, 110, 176, 330, 660, 3080, 56: 1/56 = 1/57 + 1/31921/56 = 1/58 + 1/16241/56 = 1/60 + 1/8401/56 = 1/63 + 1/5041/56 = 1/64 + 1/4481/56 = 1/70 + 1/2801/56 = 1/72 + 1/2521/56 = 1/84 + 1/1681/56 = 1/88 + 1/1541/56 = 1/105 + 1/1201/56 = 1/112 + 1/11257, 58, 60, 63, 64, 70, 72, 84, 88, 105, 112, 120, 154, 168, 252, 280, 448, 504, 840, 1624, 3192, 57: 1/57 = 1/58 + 1/33061/57 = 1/60 + 1/11401/57 = 1/66 + 1/4181/57 = 1/76 + 1/2281/57 = 1/114 + 1/11458, 60, 66, 76, 114, 228, 418, 1140, 3306, 58: 1/58 = 1/59 + 1/34221/58 = 1/60 + 1/17401/58 = 1/62 + 1/8991/58 = 1/87 + 1/1741/58 = 1/116 + 1/11659, 60, 62, 87, 116, 174, 899, 1740, 3422, 59: 1/59 = 1/60 + 1/35401/59 = 1/118 + 1/11860, 118, 3540, 60: 1/60 = 1/61 + 1/36601/60 = 1/62 + 1/18601/60 = 1/63 + 1/12601/60 = 1/64 + 1/9601/60 = 1/65 + 1/7801/60 = 1/66 + 1/6601/60 = 1/68 + 1/5101/60 = 1/69 + 1/4601/60 = 1/70 + 1/4201/60 = 1/72 + 1/3601/60 = 1/75 + 1/3001/60 = 1/76 + 1/2851/60 = 1/78 + 1/2601/60 = 1/80 + 1/2401/60 = 1/84 + 1/2101/60 = 1/85 + 1/2041/60 = 1/90 + 1/1801/60 = 1/96 + 1/1601/60 = 1/100 + 1/1501/60 = 1/105 + 1/1401/60 = 1/108 + 1/1351/60 = 1/110 + 1/1321/60 = 1/120 + 1/12061, 62, 63, 64, 65, 66, 68, 69, 70, 72, 75, 76, 78, 80, 84, 85, 90, 96, 100, 105, 108, 110, 120, 132, 135, 140, 150, 160, 180, 204, 210, 240, 260, 285, 300, 360, 420, 460, 510, 660, 780, 960, 1260, 1860, 3660, 61: 1/61 = 1/62 + 1/37821/61 = 1/122 + 1/12262, 122, 3782, 62: 1/62 = 1/63 + 1/39061/62 = 1/64 + 1/19841/62 = 1/66 + 1/10231/62 = 1/93 + 1/1861/62 = 1/124 + 1/12463, 64, 66, 93, 124, 186, 1023, 1984, 3906, 63: 1/63 = 1/64 + 1/40321/63 = 1/66 + 1/13861/63 = 1/70 + 1/6301/63 = 1/72 + 1/5041/63 = 1/84 + 1/2521/63 = 1/90 + 1/2101/63 = 1/112 + 1/1441/63 = 1/126 + 1/12664, 66, 70, 72, 84, 90, 112, 126, 144, 210, 252, 504, 630, 1386, 4032, 64: 1/64 = 1/65 + 1/41601/64 = 1/66 + 1/21121/64 = 1/68 + 1/10881/64 = 1/72 + 1/5761/64 = 1/80 + 1/3201/64 = 1/96 + 1/1921/64 = 1/128 + 1/12865, 66, 68, 72, 80, 96, 128, 192, 320, 576, 1088, 2112, 4160, 65: 1/65 = 1/66 + 1/42901/65 = 1/70 + 1/9101/65 = 1/78 + 1/3901/65 = 1/90 + 1/2341/65 = 1/130 + 1/13066, 70, 78, 90, 130, 234, 390, 910, 4290, 66: 1/66 = 1/67 + 1/44221/66 = 1/68 + 1/22441/66 = 1/69 + 1/15181/66 = 1/70 + 1/11551/66 = 1/72 + 1/7921/66 = 1/75 + 1/5501/66 = 1/77 + 1/4621/66 = 1/78 + 1/4291/66 = 1/84 + 1/3081/66 = 1/88 + 1/2641/66 = 1/99 + 1/1981/66 = 1/102 + 1/1871/66 = 1/110 + 1/1651/66 = 1/132 + 1/13267, 68, 69, 70, 72, 75, 77, 78, 84, 88, 99, 102, 110, 132, 165, 187, 198, 264, 308, 429, 462, 550, 792, 1155, 1518, 2244, 4422, 67: 1/67 = 1/68 + 1/45561/67 = 1/134 + 1/13468, 134, 4556, 68: 1/68 = 1/69 + 1/46921/68 = 1/70 + 1/23801/68 = 1/72 + 1/12241/68 = 1/76 + 1/6461/68 = 1/84 + 1/3571/68 = 1/85 + 1/3401/68 = 1/102 + 1/2041/68 = 1/136 + 1/13669, 70, 72, 76, 84, 85, 102, 136, 204, 340, 357, 646, 1224, 2380, 4692, 69: 1/69 = 1/70 + 1/48301/69 = 1/72 + 1/16561/69 = 1/78 + 1/5981/69 = 1/92 + 1/2761/69 = 1/138 + 1/13870, 72, 78, 92, 138, 276, 598, 1656, 4830, 70: 1/70 = 1/71 + 1/49701/70 = 1/72 + 1/25201/70 = 1/74 + 1/12951/70 = 1/75 + 1/10501/70 = 1/77 + 1/7701/70 = 1/80 + 1/5601/70 = 1/84 + 1/4201/70 = 1/90 + 1/3151/70 = 1/95 + 1/2661/70 = 1/98 + 1/2451/70 = 1/105 + 1/2101/70 = 1/119 + 1/1701/70 = 1/120 + 1/1681/70 = 1/140 + 1/14071, 72, 74, 75, 77, 80, 84, 90, 95, 98, 105, 119, 120, 140, 168, 170, 210, 245, 266, 315, 420, 560, 770, 1050, 1295, 2520, 4970, 71: 1/71 = 1/72 + 1/51121/71 = 1/142 + 1/14272, 142, 5112, 72: 1/72 = 1/73 + 1/52561/72 = 1/74 + 1/26641/72 = 1/75 + 1/18001/72 = 1/76 + 1/13681/72 = 1/78 + 1/9361/72 = 1/80 + 1/7201/72 = 1/81 + 1/6481/72 = 1/84 + 1/5041/72 = 1/88 + 1/3961/72 = 1/90 + 1/3601/72 = 1/96 + 1/2881/72 = 1/99 + 1/2641/72 = 1/104 + 1/2341/72 = 1/108 + 1/2161/72 = 1/120 + 1/1801/72 = 1/126 + 1/1681/72 = 1/136 + 1/1531/72 = 1/144 + 1/14473, 74, 75, 76, 78, 80, 81, 84, 88, 90, 96, 99, 104, 108, 120, 126, 136, 144, 153, 168, 180, 216, 234, 264, 288, 360, 396, 504, 648, 720, 936, 1368, 1800, 2664, 5256, 73: 1/73 = 1/74 + 1/54021/73 = 1/146 + 1/14674, 146, 5402, 74: 1/74 = 1/75 + 1/55501/74 = 1/76 + 1/28121/74 = 1/78 + 1/14431/74 = 1/111 + 1/2221/74 = 1/148 + 1/14875, 76, 78, 111, 148, 222, 1443, 2812, 5550, 75: 1/75 = 1/76 + 1/57001/75 = 1/78 + 1/19501/75 = 1/80 + 1/12001/75 = 1/84 + 1/7001/75 = 1/90 + 1/4501/75 = 1/100 + 1/3001/75 = 1/120 + 1/2001/75 = 1/150 + 1/15076, 78, 80, 84, 90, 100, 120, 150, 200, 300, 450, 700, 1200, 1950, 5700, 76: 1/76 = 1/77 + 1/58521/76 = 1/78 + 1/29641/76 = 1/80 + 1/15201/76 = 1/84 + 1/7981/76 = 1/92 + 1/4371/76 = 1/95 + 1/3801/76 = 1/114 + 1/2281/76 = 1/152 + 1/15277, 78, 80, 84, 92, 95, 114, 152, 228, 380, 437, 798, 1520, 2964, 5852, 77: 1/77 = 1/78 + 1/60061/77 = 1/84 + 1/9241/77 = 1/88 + 1/6161/77 = 1/126 + 1/1981/77 = 1/154 + 1/15478, 84, 88, 126, 154, 198, 616, 924, 6006, 78: 1/78 = 1/79 + 1/61621/78 = 1/80 + 1/31201/78 = 1/81 + 1/21061/78 = 1/82 + 1/15991/78 = 1/84 + 1/10921/78 = 1/87 + 1/7541/78 = 1/90 + 1/5851/78 = 1/91 + 1/5461/78 = 1/96 + 1/4161/78 = 1/104 + 1/3121/78 = 1/114 + 1/2471/78 = 1/117 + 1/2341/78 = 1/130 + 1/1951/78 = 1/156 + 1/15679, 80, 81, 82, 84, 87, 90, 91, 96, 104, 114, 117, 130, 156, 195, 234, 247, 312, 416, 546, 585, 754, 1092, 1599, 2106, 3120, 6162, 79: 1/79 = 1/80 + 1/63201/79 = 1/158 + 1/15880, 158, 6320, 80: 1/80 = 1/81 + 1/64801/80 = 1/82 + 1/32801/80 = 1/84 + 1/16801/80 = 1/85 + 1/13601/80 = 1/88 + 1/8801/80 = 1/90 + 1/7201/80 = 1/96 + 1/4801/80 = 1/100 + 1/4001/80 = 1/105 + 1/3361/80 = 1/112 + 1/2801/80 = 1/120 + 1/2401/80 = 1/130 + 1/2081/80 = 1/144 + 1/1801/80 = 1/160 + 1/16081, 82, 84, 85, 88, 90, 96, 100, 105, 112, 120, 130, 144, 160, 180, 208, 240, 280, 336, 400, 480, 720, 880, 1360, 1680, 3280, 6480, 81: 1/81 = 1/82 + 1/66421/81 = 1/84 + 1/22681/81 = 1/90 + 1/8101/81 = 1/108 + 1/3241/81 = 1/162 + 1/16282, 84, 90, 108, 162, 324, 810, 2268, 6642, 82: 1/82 = 1/83 + 1/68061/82 = 1/84 + 1/34441/82 = 1/86 + 1/17631/82 = 1/123 + 1/2461/82 = 1/164 + 1/16483, 84, 86, 123, 164, 246, 1763, 3444, 6806, 83: 1/83 = 1/84 + 1/69721/83 = 1/166 + 1/16684, 166, 6972, 84: 1/84 = 1/85 + 1/71401/84 = 1/86 + 1/36121/84 = 1/87 + 1/24361/84 = 1/88 + 1/18481/84 = 1/90 + 1/12601/84 = 1/91 + 1/10921/84 = 1/92 + 1/9661/84 = 1/93 + 1/8681/84 = 1/96 + 1/6721/84 = 1/98 + 1/5881/84 = 1/100 + 1/5251/84 = 1/102 + 1/4761/84 = 1/105 + 1/4201/84 = 1/108 + 1/3781/84 = 1/112 + 1/3361/84 = 1/120 + 1/2801/84 = 1/126 + 1/2521/84 = 1/132 + 1/2311/84 = 1/133 + 1/2281/84 = 1/140 + 1/2101/84 = 1/147 + 1/1961/84 = 1/156 + 1/1821/84 = 1/168 + 1/16885, 86, 87, 88, 90, 91, 92, 93, 96, 98, 100, 102, 105, 108, 112, 120, 126, 132, 133, 140, 147, 156, 168, 182, 196, 210, 228, 231, 252, 280, 336, 378, 420, 476, 525, 588, 672, 868, 966, 1092, 1260, 1848, 2436, 3612, 7140, 85: 1/85 = 1/86 + 1/73101/85 = 1/90 + 1/15301/85 = 1/102 + 1/5101/85 = 1/110 + 1/3741/85 = 1/170 + 1/17086, 90, 102, 110, 170, 374, 510, 1530, 7310, 86: 1/86 = 1/87 + 1/74821/86 = 1/88 + 1/37841/86 = 1/90 + 1/19351/86 = 1/129 + 1/2581/86 = 1/172 + 1/17287, 88, 90, 129, 172, 258, 1935, 3784, 7482, 87: 1/87 = 1/88 + 1/76561/87 = 1/90 + 1/26101/87 = 1/96 + 1/9281/87 = 1/116 + 1/3481/87 = 1/174 + 1/17488, 90, 96, 116, 174, 348, 928, 2610, 7656, 88: 1/88 = 1/89 + 1/78321/88 = 1/90 + 1/39601/88 = 1/92 + 1/20241/88 = 1/96 + 1/10561/88 = 1/99 + 1/7921/88 = 1/104 + 1/5721/88 = 1/110 + 1/4401/88 = 1/120 + 1/3301/88 = 1/132 + 1/2641/88 = 1/152 + 1/2091/88 = 1/176 + 1/17689, 90, 92, 96, 99, 104, 110, 120, 132, 152, 176, 209, 264, 330, 440, 572, 792, 1056, 2024, 3960, 7832, 89: 1/89 = 1/90 + 1/80101/89 = 1/178 + 1/17890, 178, 8010, 90: 1/90 = 1/91 + 1/81901/90 = 1/92 + 1/41401/90 = 1/93 + 1/27901/90 = 1/94 + 1/21151/90 = 1/95 + 1/17101/90 = 1/96 + 1/14401/90 = 1/99 + 1/9901/90 = 1/100 + 1/9001/90 = 1/102 + 1/7651/90 = 1/105 + 1/6301/90 = 1/108 + 1/5401/90 = 1/110 + 1/4951/90 = 1/115 + 1/4141/90 = 1/117 + 1/3901/90 = 1/120 + 1/3601/90 = 1/126 + 1/3151/90 = 1/135 + 1/2701/90 = 1/140 + 1/2521/90 = 1/144 + 1/2401/90 = 1/150 + 1/2251/90 = 1/165 + 1/1981/90 = 1/171 + 1/1901/90 = 1/180 + 1/18091, 92, 93, 94, 95, 96, 99, 100, 102, 105, 108, 110, 115, 117, 120, 126, 135, 140, 144, 150, 165, 171, 180, 190, 198, 225, 240, 252, 270, 315, 360, 390, 414, 495, 540, 630, 765, 900, 990, 1440, 1710, 2115, 2790, 4140, 8190, 91: 1/91 = 1/92 + 1/83721/91 = 1/98 + 1/12741/91 = 1/104 + 1/7281/91 = 1/140 + 1/2601/91 = 1/182 + 1/18292, 98, 104, 140, 182, 260, 728, 1274, 8372, 92: 1/92 = 1/93 + 1/85561/92 = 1/94 + 1/43241/92 = 1/96 + 1/22081/92 = 1/100 + 1/11501/92 = 1/108 + 1/6211/92 = 1/115 + 1/4601/92 = 1/138 + 1/2761/92 = 1/184 + 1/18493, 94, 96, 100, 108, 115, 138, 184, 276, 460, 621, 1150, 2208, 4324, 8556, 93: 1/93 = 1/94 + 1/87421/93 = 1/96 + 1/29761/93 = 1/102 + 1/10541/93 = 1/124 + 1/3721/93 = 1/186 + 1/18694, 96, 102, 124, 186, 372, 1054, 2976, 8742, 94: 1/94 = 1/95 + 1/89301/94 = 1/96 + 1/45121/94 = 1/98 + 1/23031/94 = 1/141 + 1/2821/94 = 1/188 + 1/18895, 96, 98, 141, 188, 282, 2303, 4512, 8930, 95: 1/95 = 1/96 + 1/91201/95 = 1/100 + 1/19001/95 = 1/114 + 1/5701/95 = 1/120 + 1/4561/95 = 1/190 + 1/19096, 100, 114, 120, 190, 456, 570, 1900, 9120, 96: 1/96 = 1/97 + 1/93121/96 = 1/98 + 1/47041/96 = 1/99 + 1/31681/96 = 1/100 + 1/24001/96 = 1/102 + 1/16321/96 = 1/104 + 1/12481/96 = 1/105 + 1/11201/96 = 1/108 + 1/8641/96 = 1/112 + 1/6721/96 = 1/114 + 1/6081/96 = 1/120 + 1/4801/96 = 1/128 + 1/3841/96 = 1/132 + 1/3521/96 = 1/144 + 1/2881/96 = 1/160 + 1/2401/96 = 1/168 + 1/2241/96 = 1/192 + 1/19297, 98, 99, 100, 102, 104, 105, 108, 112, 114, 120, 128, 132, 144, 160, 168, 192, 224, 240, 288, 352, 384, 480, 608, 672, 864, 1120, 1248, 1632, 2400, 3168, 4704, 9312, 97: 1/97 = 1/98 + 1/95061/97 = 1/194 + 1/19498, 194, 9506, 98: 1/98 = 1/99 + 1/97021/98 = 1/100 + 1/49001/98 = 1/102 + 1/24991/98 = 1/105 + 1/14701/98 = 1/112 + 1/7841/98 = 1/126 + 1/4411/98 = 1/147 + 1/2941/98 = 1/196 + 1/19699, 100, 102, 105, 112, 126, 147, 196, 294, 441, 784, 1470, 2499, 4900, 9702, 99: 1/99 = 1/100 + 1/99001/99 = 1/102 + 1/33661/99 = 1/108 + 1/11881/99 = 1/110 + 1/9901/99 = 1/126 + 1/4621/99 = 1/132 + 1/3961/99 = 1/180 + 1/2201/99 = 1/198 + 1/198100, 102, 108, 110, 126, 132, 180, 198, 220, 396, 462, 990, 1188, 3366, 9900, 100: 1/100 = 1/102 + 1/51001/100 = 1/104 + 1/26001/100 = 1/105 + 1/21001/100 = 1/108 + 1/13501/100 = 1/110 + 1/11001/100 = 1/116 + 1/7251/100 = 1/120 + 1/6001/100 = 1/125 + 1/5001/100 = 1/140 + 1/3501/100 = 1/150 + 1/3001/100 = 1/180 + 1/2251/100 = 1/200 + 1/200102, 104, 105, 108, 110, 116, 120, 125, 140, 150, 180, 200, 225, 300, 350, 500, 600, 725, 1100, 1350, 2100, 2600, 5100, BUILD SUCCESSFUL (total time: 1 minute 11 seconds) Redigerat 31 Mars 2013 av WASD Citera Länk till kommentar Dela på andra sajter More sharing options...
Dave37 Skrivet 31 Mars 2013 Rapport Dela Skrivet 31 Mars 2013 (redigerat) Jag skrev min egna kod (18 rader) och fick fram denna matrisen för de olika nämnarna för bråken 1/1 till 1/20 Motsatta siffror ger bråket i fråga, t.ex. om man tar 12 kolumnen, och så tar man fjärde nämnaren uppifrån (16) och fjärde nedifrån (48) så borde detta resultera i 1/12 = 1/16 + 1/48 Vilket det gör. Vad jag inte fattar är varför antalet ändras så mycket. Ok om det hade ökat på något trevligt speciellt sätt, men det här ser ju bara ut som värsta röran. Redigerat 31 Mars 2013 av Dave37 Citera Länk till kommentar Dela på andra sajter More sharing options...
Mezox Skrivet 1 April 2013 Författare Rapport Dela Skrivet 1 April 2013 Jag tittade inte här igår kväll så kunde inte vara med i diskussionen men jo jag har skype. :p Som ni har märkt har 1/p för p primtal bara två sätt att skrivas som en sådan summa. Jag kan avslöja att det finns sätt att förhand (utan räknare eller dator) hitta representationer av 1/n för rimligt stora n (upp till några tusen) inom några minuter. Dave: I din tabell ser jag ett väldigt intressant mönster, kan man kanske generalisera detta? Citera Länk till kommentar Dela på andra sajter More sharing options...
Dave37 Skrivet 1 April 2013 Rapport Dela Skrivet 1 April 2013 (redigerat) Alltså jag är övertygad om att antalet sätt att skriva det på har med primtalsfaktorer att göra. Eller menar du att första numret alltid är ett högre än den nämnaren man valt? Alltså att 1/n = 1/(n+1) + 1/b? Sista numret följer också (1+n)(2+n), så en av lösningarna är alltid 1/n = 1/(n+1) + 1/((n+1)(2+n)) Redigerat 1 April 2013 av Dave37 Citera Länk till kommentar Dela på andra sajter More sharing options...
Mezox Skrivet 1 April 2013 Författare Rapport Dela Skrivet 1 April 2013 Ja det är det jag menar, men det ska nog vara n(n+1). Om detta alltid är sant så visar ju detta att det alltid finns ett annat sätt att representera det ensamma bråket (förutom då n=1 eftersom n(n+1) blir samma sak som n+1 i det fallet). En annan grej att notera är att tal med många delare som t.ex. 12 och 60 har många olika sätt att skrivas på. Citera Länk till kommentar Dela på andra sajter More sharing options...
Dave37 Skrivet 1 April 2013 Rapport Dela Skrivet 1 April 2013 Ah jo givetvis, 1/(n(n+1)), jag hoppade över 1/1 i min serie. Det är ju sant att det alltid finns två sätt att representera ett ensamt bråk på eftersom både n(n+1) och n+1 är naturliga tal om n är ett naturligt tal. Citera Länk till kommentar Dela på andra sajter More sharing options...
WASD Skrivet 1 April 2013 Rapport Dela Skrivet 1 April 2013 (redigerat) 1/a = 1/b + 1/c1/a = (c+b)/(cb)1/a = 1/((cb)/(c+b)a = (cb)/(c+b) Vet inte vart jag vill komma riktigt. Men jag tror jag kom på ett sätt att göra min genereringar betydligt snabbare (Från n²/2 iterationer till n) ifall ni vill ha mer data. ------------------- Upptäckte detta1/479 kan fås av 1/480 + 1/229920.479² + 479= 229920. 1/89 kan fås av 1/89 = 1/90 + 1/8010.89² + 89 = 8010. Detta verkar stämma för allt, inte bara primtal. Och när jag scrollar upp ser det ut som det är ni ni precis kommit fram till. Redigerat 1 April 2013 av WASD Citera Länk till kommentar Dela på andra sajter More sharing options...
Dave37 Skrivet 1 April 2013 Rapport Dela Skrivet 1 April 2013 Japp, frågan som kvarstår är vad reglerna för alla de andra talen är och hur den övergripande regeln är samt hur man tar reda på exakt hur många sätt ett givet bråk går att skriva på. Citera Länk till kommentar Dela på andra sajter More sharing options...
Rekommendera inlägg
Gå med i konversationen
Du kan skriva nu och registrera dig senare. Om du har ett konto, logga in nu för att posta med ditt konto.