平方根的有理逼近

elim

从顶层往下比，若首次出现的不同在是第k层 a < a', 则k为奇数时a'所在的连分数大，否则a所在的连分数大。

Ysu2008

luyuanhong 发表于 2016-9-21 13:20
下面是我过去在《数学中国》发表过的一个帖子，可供参考：

原来如此，谢谢陆老师。

王守恩

elim 发表于 2016-9-22 15:04
从顶层往下比，若首次出现的不同在是第k层 a < a', 则k为奇数时a'所在的连分数大，否则a所在的连分数大。

从顶层往下比，若首次出现的不同在是第k层 a < a', 则k为奇数时a'所在的连分数大
从顶层往下比，若首次出现的不同在是第k层 a < a', 则k为偶数时a'所在的连分数小

Ysu2008

我之前只会计算二次无理数的连分数。
以下为被开方数在1024以内二次无理数的连分数展开：
√1 = 1 -------------------------------------------------------------------------------------------
√2 = [1,2]
√3 = [1,1,2]
√4 = 2 -------------------------------------------------------------------------------------------
√5 = [2,4]
√6 = [2,2,4]
√7 = [2,1,1,1,4]
√8 = [2,1,4]
√9 = 3 -------------------------------------------------------------------------------------------
√10 = [3,6]
√11 = [3,3,6]
√12 = [3,2,6]
√13 = [3,1,1,1,1,6]
√14 = [3,1,2,1,6]
√15 = [3,1,6]
√16 = 4 -------------------------------------------------------------------------------------------
√17 = [4,8]
√18 = [4,4,8]
√19 = [4,2,1,3,1,2,8]
√20 = [4,2,8]
√21 = [4,1,1,2,1,1,8]
√22 = [4,1,2,4,2,1,8]
√23 = [4,1,3,1,8]
√24 = [4,1,8]
√25 = 5 -------------------------------------------------------------------------------------------
√26 = [5,10]
√27 = [5,5,10]
√28 = [5,3,2,3,10]
√29 = [5,2,1,1,2,10]
√30 = [5,2,10]
√31 = [5,1,1,3,5,3,1,1,10]
√32 = [5,1,1,1,10]
√33 = [5,1,2,1,10]
√34 = [5,1,4,1,10]
√35 = [5,1,10]
√36 = 6 -------------------------------------------------------------------------------------------
√37 = [6,12]
√38 = [6,6,12]
√39 = [6,4,12]
√40 = [6,3,12]
√41 = [6,2,2,12]
√42 = [6,2,12]
√43 = [6,1,1,3,1,5,1,3,1,1,12]
√44 = [6,1,1,1,2,1,1,1,12]
√45 = [6,1,2,2,2,1,12]
√46 = [6,1,3,1,1,2,6,2,1,1,3,1,12]
√47 = [6,1,5,1,12]
√48 = [6,1,12]
√49 = 7 -------------------------------------------------------------------------------------------
√50 = [7,14]
√51 = [7,7,14]
√52 = [7,4,1,2,1,4,14]
√53 = [7,3,1,1,3,14]
√54 = [7,2,1,6,1,2,14]
√55 = [7,2,2,2,14]
√56 = [7,2,14]
√57 = [7,1,1,4,1,1,14]
√58 = [7,1,1,1,1,1,1,14]
√59 = [7,1,2,7,2,1,14]
√60 = [7,1,2,1,14]
√61 = [7,1,4,3,1,2,2,1,3,4,1,14]
√62 = [7,1,6,1,14]
√63 = [7,1,14]
√64 = 8 -------------------------------------------------------------------------------------------
√65 = [8,16]
√66 = [8,8,16]
√67 = [8,5,2,1,1,7,1,1,2,5,16]
√68 = [8,4,16]
√69 = [8,3,3,1,4,1,3,3,16]
√70 = [8,2,1,2,1,2,16]
√71 = [8,2,2,1,7,1,2,2,16]
√72 = [8,2,16]
√73 = [8,1,1,5,5,1,1,16]
√74 = [8,1,1,1,1,16]
√75 = [8,1,1,1,16]
√76 = [8,1,2,1,1,5,4,5,1,1,2,1,16]
√77 = [8,1,3,2,3,1,16]
√78 = [8,1,4,1,16]
√79 = [8,1,7,1,16]
√80 = [8,1,16]
√81 = 9 -------------------------------------------------------------------------------------------
√82 = [9,18]
√83 = [9,9,18]
√84 = [9,6,18]
√85 = [9,4,1,1,4,18]
√86 = [9,3,1,1,1,8,1,1,1,3,18]
√87 = [9,3,18]
√88 = [9,2,1,1,1,2,18]
√89 = [9,2,3,3,2,18]
√90 = [9,2,18]
√91 = [9,1,1,5,1,5,1,1,18]
√92 = [9,1,1,2,4,2,1,1,18]
√93 = [9,1,1,1,4,6,4,1,1,1,18]
√94 = [9,1,2,3,1,1,5,1,8,1,5,1,1,3,2,1,18]
√95 = [9,1,2,1,18]
√96 = [9,1,3,1,18]
√97 = [9,1,5,1,1,1,1,1,1,5,1,18]
√98 = [9,1,8,1,18]
√99 = [9,1,18]
√100 = 10 -------------------------------------------------------------------------------------------
√101 = [10,20]
√102 = [10,10,20]
√103 = [10,6,1,2,1,1,9,1,1,2,1,6,20]
√104 = [10,5,20]
√105 = [10,4,20]
√106 = [10,3,2,1,1,1,1,2,3,20]
√107 = [10,2,1,9,1,2,20]
√108 = [10,2,1,1,4,1,1,2,20]
√109 = [10,2,3,1,2,4,1,6,6,1,4,2,1,3,2,20]
√110 = [10,2,20]
√111 = [10,1,1,6,1,1,20]
√112 = [10,1,1,2,1,1,20]
√113 = [10,1,1,1,2,2,1,1,1,20]
√114 = [10,1,2,10,2,1,20]
√115 = [10,1,2,1,1,1,1,1,2,1,20]
√116 = [10,1,3,2,1,4,1,2,3,1,20]
√117 = [10,1,4,2,4,1,20]
√118 = [10,1,6,3,2,10,2,3,6,1,20]
√119 = [10,1,9,1,20]
√120 = [10,1,20]
√121 = 11 -------------------------------------------------------------------------------------------
√122 = [11,22]
√123 = [11,11,22]
√124 = [11,7,2,1,1,1,3,1,4,1,3,1,1,1,2,7,22]
√125 = [11,5,1,1,5,22]
√126 = [11,4,2,4,22]
√127 = [11,3,1,2,2,7,11,7,2,2,1,3,22]
√128 = [11,3,5,3,22]
√129 = [11,2,1,3,1,6,1,3,1,2,22]
√130 = [11,2,2,22]
√131 = [11,2,4,11,4,2,22]
√132 = [11,2,22]
√133 = [11,1,1,7,5,1,1,1,2,1,1,1,5,7,1,1,22]
√134 = [11,1,1,2,1,3,1,10,1,3,1,2,1,1,22]
√135 = [11,1,1,1,1,1,1,1,22]
√136 = [11,1,1,1,22]
√137 = [11,1,2,2,1,1,2,2,1,22]
√138 = [11,1,2,1,22]
√139 = [11,1,3,1,3,7,1,1,2,11,2,1,1,7,3,1,3,1,22]
√140 = [11,1,4,1,22]
√141 = [11,1,6,1,22]
√142 = [11,1,10,1,22]
√143 = [11,1,22]
√144 = 12 -------------------------------------------------------------------------------------------
√145 = [12,24]
√146 = [12,12,24]
√147 = [12,8,24]
√148 = [12,6,24]
√149 = [12,4,1,5,3,3,5,1,4,24]
√150 = [12,4,24]
√151 = [12,3,2,7,1,3,4,1,1,1,11,1,1,1,4,3,1,7,2,3,24]
√152 = [12,3,24]
√153 = [12,2,1,2,2,2,1,2,24]
√154 = [12,2,2,3,1,2,1,3,2,2,24]
√155 = [12,2,4,2,24]
√156 = [12,2,24]
√157 = [12,1,1,7,1,5,2,1,1,1,1,2,5,1,7,1,1,24]
√158 = [12,1,1,3,12,3,1,1,24]
√159 = [12,1,1,1,1,3,1,1,1,1,24]
√160 = [12,1,1,1,5,1,1,1,24]
√161 = [12,1,2,4,1,2,1,4,2,1,24]
√162 = [12,1,2,1,2,12,2,1,2,1,24]
√163 = [12,1,3,3,2,1,1,7,1,11,1,7,1,1,2,3,3,1,24]
√164 = [12,1,4,6,4,1,24]
√165 = [12,1,5,2,5,1,24]
√166 = [12,1,7,1,1,1,2,4,1,3,2,12,2,3,1,4,2,1,1,1,7,1,24]
√167 = [12,1,11,1,24]
√168 = [12,1,24]
√169 = 13 -------------------------------------------------------------------------------------------
√170 = [13,26]
√171 = [13,13,26]
√172 = [13,8,1,2,2,1,1,3,6,3,1,1,2,2,1,8,26]
√173 = [13,6,1,1,6,26]
√174 = [13,5,4,5,26]
√175 = [13,4,2,1,2,4,26]
√176 = [13,3,1,3,26]
√177 = [13,3,3,2,8,2,3,3,26]
√178 = [13,2,1,12,1,2,26]
√179 = [13,2,1,1,1,3,5,13,5,3,1,1,1,2,26]
√180 = [13,2,2,2,26]
√181 = [13,2,4,1,8,6,1,1,1,1,2,2,1,1,1,1,6,8,1,4,2,26]
√182 = [13,2,26]
√183 = [13,1,1,8,1,1,26]
√184 = [13,1,1,3,2,1,2,1,2,3,1,1,26]
√185 = [13,1,1,1,1,26]
√186 = [13,1,1,1,3,4,3,1,1,1,26]
√187 = [13,1,2,13,2,1,26]
√188 = [13,1,2,2,6,2,2,1,26]
√189 = [13,1,2,1,26]
√190 = [13,1,3,1,1,1,2,2,2,1,1,1,3,1,26]
√191 = [13,1,4,1,1,3,2,2,13,2,2,3,1,1,4,1,26]
√192 = [13,1,5,1,26]
√193 = [13,1,8,3,2,1,3,3,1,2,3,8,1,26]
√194 = [13,1,12,1,26]
√195 = [13,1,26]
√196 = 14 -------------------------------------------------------------------------------------------
√197 = [14,28]
√198 = [14,14,28]
√199 = [14,9,2,1,2,2,5,4,1,1,13,1,1,4,5,2,2,1,2,9,28]
√200 = [14,7,28]
√201 = [14,5,1,1,1,2,1,8,1,2,1,1,1,5,28]
√202 = [14,4,1,2,2,1,4,28]
√203 = [14,4,28]
√204 = [14,3,1,1,6,1,1,3,28]
√205 = [14,3,6,1,4,1,6,3,28]
√206 = [14,2,1,5,14,5,1,2,28]
√207 = [14,2,1,1,2,1,1,2,28]
√208 = [14,2,2,1,2,2,28]
√209 = [14,2,5,3,2,3,5,2,28]
√210 = [14,2,28]
√211 = [14,1,1,9,5,1,2,2,1,1,4,3,1,13,1,3,4,1,1,2,2,1,5,9,1,1,28]
√212 = [14,1,1,3,1,1,1,6,1,1,1,3,1,1,28]
√213 = [14,1,1,2,6,1,8,1,6,2,1,1,28]
√214 = [14,1,1,1,2,3,1,4,9,1,1,5,3,14,3,5,1,1,9,4,1,3,2,1,1,1,28]
√215 = [14,1,1,1,28]
√216 = [14,1,2,3,2,1,28]
√217 = [14,1,2,1,2,1,1,9,4,9,1,1,2,1,2,1,28]
√218 = [14,1,3,3,1,28]
√219 = [14,1,3,1,28]
√220 = [14,1,4,1,28]
√221 = [14,1,6,2,6,1,28]
√222 = [14,1,8,1,28]
√223 = [14,1,13,1,28]
√224 = [14,1,28]
√225 = 15 -------------------------------------------------------------------------------------------
√226 = [15,30]
√227 = [15,15,30]
√228 = [15,10,30]
√229 = [15,7,1,1,7,30]
√230 = [15,6,30]
√231 = [15,5,30]
√232 = [15,4,3,7,3,4,30]
√233 = [15,3,1,3,1,1,1,1,3,1,3,30]
√234 = [15,3,2,1,2,1,2,3,30]
√235 = [15,3,30]
√236 = [15,2,1,3,5,1,6,1,5,3,1,2,30]
√237 = [15,2,1,1,7,10,7,1,1,2,30]
√238 = [15,2,2,1,14,1,2,2,30]
√239 = [15,2,5,1,2,4,15,4,2,1,5,2,30]
√240 = [15,2,30]
√241 = [15,1,1,9,1,5,3,3,1,1,3,3,5,1,9,1,1,30]
√242 = [15,1,1,3,1,14,1,3,1,1,30]
√243 = [15,1,1,2,3,15,3,2,1,1,30]
√244 = [15,1,1,1,1,1,2,1,5,1,1,9,1,6,1,9,1,1,5,1,2,1,1,1,1,1,30]
√245 = [15,1,1,1,7,6,7,1,1,1,30]
√246 = [15,1,2,5,1,14,1,5,2,1,30]
√247 = [15,1,2,1,1,9,1,9,1,1,2,1,30]
√248 = [15,1,2,1,30]
√249 = [15,1,3,1,1,5,1,3,10,3,1,5,1,1,3,1,30]
√250 = [15,1,4,3,3,4,1,30]
√251 = [15,1,5,2,1,2,2,15,2,2,1,2,5,1,30]
√252 = [15,1,6,1,30]
√253 = [15,1,9,1,1,1,2,1,7,4,2,2,2,4,7,1,2,1,1,1,9,1,30]
√254 = [15,1,14,1,30]
√255 = [15,1,30]
√256 = 16 -------------------------------------------------------------------------------------------
√257 = [16,32]
√258 = [16,16,32]
√259 = [16,10,1,2,3,4,3,2,1,10,32]
√260 = [16,8,32]
√261 = [16,6,2,3,7,1,3,1,2,1,3,1,7,3,2,6,32]
√262 = [16,5,2,1,2,1,10,16,10,1,2,1,2,5,32]
√263 = [16,4,1,1,1,1,15,1,1,1,1,4,32]
√264 = [16,4,32]
√265 = [16,3,1,1,2,2,1,1,3,32]
√266 = [16,3,4,3,32]
√267 = [16,2,1,15,1,2,32]
√268 = [16,2,1,2,3,3,1,3,1,10,8,10,1,3,1,3,3,2,1,2,32]
√269 = [16,2,2,32]
√270 = [16,2,3,6,3,2,32]
√271 = [16,2,6,10,1,4,1,1,2,1,2,1,15,1,2,1,2,1,1,4,1,10,6,2,32]
√272 = [16,2,32]
√273 = [16,1,1,10,1,1,32]
√274 = [16,1,1,4,4,1,1,32]
√275 = [16,1,1,2,1,1,32]
√276 = [16,1,1,1,1,2,2,2,1,1,1,1,32]
√277 = [16,1,1,1,4,10,1,7,2,2,3,3,2,2,7,1,10,4,1,1,1,32]
√278 = [16,1,2,16,2,1,32]
√279 = [16,1,2,2,1,2,2,1,32]
√280 = [16,1,2,1,2,1,32]
√281 = [16,1,3,4,1,1,6,6,1,1,4,3,1,32]
√282 = [16,1,3,1,4,1,3,1,32]
√283 = [16,1,4,1,1,1,3,10,1,15,1,10,3,1,1,1,4,1,32]
√284 = [16,1,5,1,3,2,1,4,8,4,1,2,3,1,5,1,32]
√285 = [16,1,7,2,7,1,32]
√286 = [16,1,10,3,3,2,3,3,10,1,32]
√287 = [16,1,15,1,32]
√288 = [16,1,32]
√289 = 17 -------------------------------------------------------------------------------------------
√290 = [17,34]
√291 = [17,17,34]
√292 = [17,11,2,1,3,8,3,1,2,11,34]
√293 = [17,8,1,1,8,34]
√294 = [17,6,1,4,1,6,34]
√295 = [17,5,1,2,3,2,6,2,3,2,1,5,34]
√296 = [17,4,1,7,1,4,34]
√297 = [17,4,3,1,1,2,1,1,3,4,34]
√298 = [17,3,1,4,5,1,1,5,4,1,3,34]
√299 = [17,3,2,3,34]
√300 = [17,3,8,3,34]
√301 = [17,2,1,6,3,1,2,2,1,1,8,11,2,4,2,11,8,1,1,2,2,1,3,6,1,2,34]
√302 = [17,2,1,1,1,4,2,1,16,1,2,4,1,1,1,2,34]
√303 = [17,2,2,5,2,2,34]
√304 = [17,2,3,2,1,1,1,1,1,2,3,2,34]
√305 = [17,2,6,2,34]
√306 = [17,2,34]
√307 = [17,1,1,11,5,1,3,17,3,1,5,11,1,1,34]
√308 = [17,1,1,4,1,1,34]
√309 = [17,1,1,2,1,2,4,1,1,1,8,6,1,10,1,6,8,1,1,1,4,2,1,2,1,1,34]
√310 = [17,1,1,1,1,5,3,1,2,1,3,5,1,1,1,1,34]
√311 = [17,1,1,1,2,1,6,3,17,3,6,1,2,1,1,1,34]
√312 = [17,1,1,1,34]
√313 = [17,1,2,4,11,1,1,3,2,2,3,1,1,11,4,2,1,34]
√314 = [17,1,2,1,1,2,1,34]
√315 = [17,1,2,1,34]
√316 = [17,1,3,2,8,2,3,1,34]
√317 = [17,1,4,8,1,2,2,1,8,4,1,34]
√318 = [17,1,4,1,34]
√319 = [17,1,6,5,1,4,3,1,3,4,1,5,6,1,34]
√320 = [17,1,7,1,34]
√321 = [17,1,10,1,34]
√322 = [17,1,16,1,34]
√323 = [17,1,34]
√324 = 18 -------------------------------------------------------------------------------------------
√325 = [18,36]
√326 = [18,18,36]
√327 = [18,12,36]
√328 = [18,9,36]
√329 = [18,7,4,2,1,1,4,1,1,2,4,7,36]
√330 = [18,6,36]
√331 = [18,5,5,1,6,2,3,1,1,2,1,2,1,11,2,1,1,17,1,1,2,11,1,2,1,2,1,1,3,2,6,1,5,5,36]
√332 = [18,4,1,1,8,1,1,4,36]
√333 = [18,4,36]
√334 = [18,3,1,1,1,2,5,1,2,2,11,1,3,7,18,7,3,1,11,2,2,1,5,2,1,1,1,3,36]
√335 = [18,3,3,3,36]
√336 = [18,3,36]
√337 = [18,2,1,3,1,11,2,4,1,3,3,1,4,2,11,1,3,1,2,36]
√338 = [18,2,1,1,2,36]
√339 = [18,2,2,2,1,17,1,2,2,2,36]
√340 = [18,2,3,1,1,1,1,8,1,1,1,1,3,2,36]
√341 = [18,2,6,1,8,2,1,2,1,2,8,1,6,2,36]
√342 = [18,2,36]
√343 = [18,1,1,11,1,5,3,1,17,1,3,5,1,11,1,1,36]
√344 = [18,1,1,4,1,3,1,4,1,1,36]
√345 = [18,1,1,2,1,6,1,2,1,1,36]
√346 = [18,1,1,1,1,36]
√347 = [18,1,1,1,2,4,1,17,1,4,2,1,1,1,36]
√348 = [18,1,1,1,8,1,1,1,36]
√349 = [18,1,2,7,7,2,1,36]
√350 = [18,1,2,2,2,1,36]
√351 = [18,1,2,1,3,2,2,2,3,1,2,1,36]
√352 = [18,1,3,5,9,5,3,1,36]
√353 = [18,1,3,1,2,1,1,1,1,1,1,2,1,3,1,36]
√354 = [18,1,4,2,2,18,2,2,4,1,36]
√355 = [18,1,5,3,3,1,6,1,3,3,5,1,36]
√356 = [18,1,6,1,1,2,1,8,1,2,1,1,6,1,36]
√357 = [18,1,8,2,8,1,36]
√358 = [18,1,11,1,1,1,3,1,1,4,1,5,2,18,2,5,1,4,1,1,3,1,1,1,11,1,36]
√359 = [18,1,17,1,36]
√360 = [18,1,36]
√361 = 19 -------------------------------------------------------------------------------------------
√362 = [19,38]
√363 = [19,19,38]
√364 = [19,12,1,2,3,1,8,1,3,2,1,12,38]
√365 = [19,9,1,1,9,38]
√366 = [19,7,1,1,1,2,12,2,1,1,1,7,38]
√367 = [19,6,2,1,3,1,1,2,1,12,19,12,1,2,1,1,3,1,2,6,38]
√368 = [19,5,2,5,38]
√369 = [19,4,1,3,2,7,4,7,2,3,1,4,38]
√370 = [19,4,4,38]
√371 = [19,3,1,4,1,3,38]
√372 = [19,3,2,12,2,3,38]
√373 = [19,3,5,5,3,38]
√374 = [19,2,1,18,1,2,38]
√375 = [19,2,1,2,1,5,1,2,1,2,38]
√376 = [19,2,1,1,3,1,2,2,4,2,2,1,3,1,1,2,38]
√377 = [19,2,2,2,38]
√378 = [19,2,3,1,4,1,3,2,38]
√379 = [19,2,7,3,2,2,6,12,1,4,1,1,1,3,4,19,4,3,1,1,1,4,1,12,6,2,2,3,7,2,38]
√380 = [19,2,38]
√381 = [19,1,1,12,1,1,38]
√382 = [19,1,1,5,12,1,5,1,1,2,3,1,18,1,3,2,1,1,5,1,12,5,1,1,38]
√383 = [19,1,1,3,19,3,1,1,38]
√384 = [19,1,1,2,9,2,1,1,38]
√385 = [19,1,1,1,1,1,3,1,2,1,3,1,1,1,1,1,38]
√386 = [19,1,1,1,4,1,18,1,4,1,1,1,38]
√387 = [19,1,2,19,2,1,38]
√388 = [19,1,2,3,4,12,1,8,1,12,4,3,2,1,38]
√389 = [19,1,2,1,1,1,1,2,1,38]
√390 = [19,1,2,1,38]
√391 = [19,1,3,2,2,1,1,2,19,2,1,1,2,2,3,1,38]
√392 = [19,1,3,1,38]
√393 = [19,1,4,1,2,4,1,1,1,1,12,1,1,1,1,4,2,1,4,1,38]
√394 = [19,1,5,1,1,1,3,1,3,5,2,2,5,3,1,3,1,1,1,5,1,38]
√395 = [19,1,6,1,38]
√396 = [19,1,8,1,38]
√397 = [19,1,12,3,4,9,1,2,1,2,1,1,2,1,2,1,9,4,3,12,1,38]
√398 = [19,1,18,1,38]
√399 = [19,1,38]
√400 = 20 -------------------------------------------------------------------------------------------
√401 = [20,40]
√402 = [20,20,40]
√403 = [20,13,2,1,3,1,3,1,2,13,40]
√404 = [20,10,40]
√405 = [20,8,40]
√406 = [20,6,1,2,4,7,1,4,1,7,4,2,1,6,40]
√407 = [20,5,1,2,1,5,40]
√408 = [20,5,40]
√409 = [20,4,2,7,1,1,1,4,2,2,13,13,2,2,4,1,1,1,7,2,4,40]
√410 = [20,4,40]
√411 = [20,3,1,1,1,19,1,1,1,3,40]
√412 = [20,3,2,1,3,1,4,3,2,13,10,13,2,3,4,1,3,1,2,3,40]
√413 = [20,3,9,1,4,1,9,3,40]
√414 = [20,2,1,7,2,7,1,2,40]
√415 = [20,2,1,2,4,6,1,1,3,1,1,6,4,2,1,2,40]
√416 = [20,2,1,1,9,1,1,2,40]
√417 = [20,2,2,1,1,1,5,4,1,12,1,4,5,1,1,1,2,2,40]
√418 = [20,2,4,20,4,2,40]
√419 = [20,2,7,1,2,3,1,2,1,19,1,2,1,3,2,1,7,2,40]
√420 = [20,2,40]
√421 = [20,1,1,13,5,1,3,1,2,1,1,1,2,9,1,7,3,3,2,2,3,3,7,1,9,2,1,1,1,2,1,3,1,5,13,1,1,40]
√422 = [20,1,1,5,2,1,3,20,3,1,2,5,1,1,40]
√423 = [20,1,1,3,4,3,1,1,40]
√424 = [20,1,1,2,4,5,1,1,1,9,1,1,1,5,4,2,1,1,40]
√425 = [20,1,1,1,1,1,1,40]
√426 = [20,1,1,1,3,2,6,2,3,1,1,1,40]
√427 = [20,1,1,1,40]
√428 = [20,1,2,4,1,5,10,5,1,4,2,1,40]
√429 = [20,1,2,2,9,1,12,1,9,2,2,1,40]
√430 = [20,1,2,1,3,1,6,8,6,1,3,1,2,1,40]
√431 = [20,1,3,5,1,2,7,1,19,1,7,2,1,5,3,1,40]
√432 = [20,1,3,1,1,1,3,1,40]
√433 = [20,1,4,4,2,2,1,3,13,1,1,1,1,13,3,1,2,2,4,4,1,40]
√434 = [20,1,4,1,40]
√435 = [20,1,5,1,40]
√436 = [20,1,7,2,1,1,1,13,3,2,2,5,1,1,4,10,4,1,1,5,2,2,3,13,1,1,1,2,7,1,40]
√437 = [20,1,9,2,9,1,40]
√438 = [20,1,12,1,40]
√439 = [20,1,19,1,40]
√440 = [20,1,40]
√441 = 21 -------------------------------------------------------------------------------------------
√442 = [21,42]
√443 = [21,21,42]
√444 = [21,14,42]
√445 = [21,10,1,1,10,42]
√446 = [21,8,2,2,1,3,1,1,20,1,1,3,1,2,2,8,42]
√447 = [21,7,42]
√448 = [21,6,42]
√449 = [21,5,3,1,1,1,7,1,5,5,1,7,1,1,1,3,5,42]
√450 = [21,4,1,2,4,2,1,4,42]
√451 = [21,4,4,2,8,21,8,2,4,4,42]
√452 = [21,3,1,5,3,10,3,5,1,3,42]
√453 = [21,3,1,1,10,14,10,1,1,3,42]
√454 = [21,3,3,1,13,2,3,2,1,1,4,6,1,7,1,1,1,20,1,1,1,7,1,6,4,1,1,2,3,2,13,1,3,3,42]
√455 = [21,3,42]
√456 = [21,2,1,4,1,2,42]
√457 = [21,2,1,1,1,5,2,13,1,3,1,4,1,1,4,1,3,1,13,2,5,1,1,1,2,42]
√458 = [21,2,2,42]
√459 = [21,2,2,1,4,21,4,1,2,2,42]
√460 = [21,2,4,3,1,2,10,2,1,3,4,2,42]
√461 = [21,2,8,10,1,1,1,1,1,1,1,1,10,8,2,42]
√462 = [21,2,42]
√463 = [21,1,1,13,1,5,4,1,1,1,1,2,2,6,1,3,21,3,1,6,2,2,1,1,1,1,4,5,1,13,1,1,42]
√464 = [21,1,1,5,1,1,1,5,1,1,42]
√465 = [21,1,1,3,2,2,2,3,1,1,42]
√466 = [21,1,1,2,2,1,2,5,1,3,1,20,1,3,1,5,2,1,2,2,1,1,42]
√467 = [21,1,1,1,1,3,3,21,3,3,1,1,1,1,42]
√468 = [21,1,1,1,2,1,1,1,42]
√469 = [21,1,1,1,10,6,10,1,1,1,42]
√470 = [21,1,2,8,2,1,42]
√471 = [21,1,2,2,1,3,4,14,4,3,1,2,2,1,42]
√472 = [21,1,2,1,1,1,4,5,4,1,1,1,2,1,42]
√473 = [21,1,2,1,42]
√474 = [21,1,3,2,1,1,1,6,1,1,1,2,3,1,42]
√475 = [21,1,3,1,6,2,6,1,3,1,42]
√476 = [21,1,4,2,10,2,4,1,42]
√477 = [21,1,5,3,1,4,10,1,2,2,4,2,2,1,10,4,1,3,5,1,42]
√478 = [21,1,6,3,4,1,1,5,1,2,3,1,1,1,1,1,13,1,20,1,13,1,1,1,1,1,3,2,1,5,1,1,4,3,6,1,42]
√479 = [21,1,7,1,3,2,21,2,3,1,7,1,42]
√480 = [21,1,9,1,42]
√481 = [21,1,13,1,1,1,4,4,1,1,1,13,1,42]
√482 = [21,1,20,1,42]
√483 = [21,1,42]
√484 = 22 -------------------------------------------------------------------------------------------
√485 = [22,44]
√486 = [22,22,44]
√487 = [22,14,1,2,4,1,1,3,2,5,1,6,1,1,21,1,1,6,1,5,2,3,1,1,4,2,1,14,44]
√488 = [22,11,44]
√489 = [22,8,1,4,1,1,1,3,2,1,2,14,2,1,2,3,1,1,1,4,1,8,44]
√490 = [22,7,2,1,4,4,4,1,2,7,44]
√491 = [22,6,3,4,8,1,1,1,2,1,1,21,1,1,2,1,1,1,8,4,3,6,44]
√492 = [22,5,1,1,10,1,1,5,44]
√493 = [22,4,1,10,3,3,10,1,4,44]
√494 = [22,4,2,2,1,2,1,2,2,4,44]
√495 = [22,4,44]
√496 = [22,3,1,2,4,1,1,2,2,2,1,1,4,2,1,3,44]
√497 = [22,3,2,2,5,6,5,2,2,3,44]
√498 = [22,3,6,22,6,3,44]
√499 = [22,2,1,21,1,2,44]
√500 = [22,2,1,3,2,1,1,10,1,1,2,3,1,2,44]
√501 = [22,2,1,1,1,1,3,8,1,2,10,1,5,2,14,2,5,1,10,2,1,8,3,1,1,1,1,2,44]
√502 = [22,2,2,7,14,1,4,22,4,1,14,7,2,2,44]
√503 = [22,2,2,1,21,1,2,2,44]
√504 = [22,2,4,2,44]
√505 = [22,2,8,2,44]
√506 = [22,2,44]
√507 = [22,1,1,14,1,1,44]
√508 = [22,1,1,5,1,14,5,1,1,3,4,1,2,1,1,1,10,1,1,1,2,1,4,3,1,1,5,14,1,5,1,1,44]
√509 = [22,1,1,3,1,1,2,10,1,8,8,1,10,2,1,1,3,1,1,44]
√510 = [22,1,1,2,1,1,44]
√511 = [22,1,1,1,1,6,1,14,4,1,21,1,4,14,1,6,1,1,1,1,44]
√512 = [22,1,1,1,2,6,11,6,2,1,1,1,44]
√513 = [22,1,1,1,5,1,4,5,2,5,4,1,5,1,1,1,44]
√514 = [22,1,2,22,2,1,44]
√515 = [22,1,2,3,1,3,1,3,2,1,44]
√516 = [22,1,2,1,1,14,1,1,2,1,44]
√517 = [22,1,2,1,4,3,3,2,10,1,14,4,14,1,10,2,3,3,4,1,2,1,44]
√518 = [22,1,3,6,3,1,44]
√519 = [22,1,3,1,1,2,1,2,3,7,3,2,1,2,1,1,3,1,44]
√520 = [22,1,4,11,4,1,44]
√521 = [22,1,4,1,2,1,2,8,1,3,3,1,8,2,1,2,1,4,1,44]
√522 = [22,1,5,1,1,4,1,1,5,1,44]
√523 = [22,1,6,1,1,1,4,2,3,14,1,21,1,14,3,2,4,1,1,1,6,1,44]
√524 = [22,1,8,5,1,1,1,1,2,1,10,1,2,1,1,1,1,5,8,1,44]
√525 = [22,1,10,2,10,1,44]
√526 = [22,1,14,3,4,1,3,2,1,3,1,8,2,1,1,2,2,6,7,2,22,2,7,6,2,2,1,1,2,8,1,3,1,2,3,1,4,3,14,1,44]
√527 = [22,1,21,1,44]
√528 = [22,1,44]

Ysu2008

√529 = 23 -------------------------------------------------------------------------------------------
√530 = [23,46]
√531 = [23,23,46]
√532 = [23,15,2,1,4,2,4,1,2,15,46]
√533 = [23,11,1,1,11,46]
√534 = [23,9,4,1,1,22,1,1,4,9,46]
√535 = [23,7,1,2,4,1,3,1,4,2,1,7,46]
√536 = [23,6,1,1,2,5,2,1,1,6,46]
√537 = [23,5,1,3,2,1,1,1,2,1,14,1,2,1,1,1,2,3,1,5,46]
√538 = [23,5,7,1,1,7,5,46]
√539 = [23,4,1,1,1,1,1,4,46]
√540 = [23,4,4,1,10,1,4,4,46]
√541 = [23,3,1,5,1,8,2,4,1,2,3,1,1,11,15,2,2,1,1,1,1,1,1,2,2,15,11,1,1,3,2,1,4,2,8,1,5,1,3,46]
√542 = [23,3,1,1,3,1,1,1,22,1,1,1,3,1,1,3,46]
√543 = [23,3,3,3,1,14,1,3,3,3,46]
√544 = [23,3,11,3,46]
√545 = [23,2,1,8,1,2,46]
√546 = [23,2,1,2,1,2,46]
√547 = [23,2,1,1,2,1,2,1,7,15,2,6,5,23,5,6,2,15,7,1,2,1,2,1,1,2,46]
√548 = [23,2,2,3,1,5,1,10,1,5,1,3,2,2,46]
√549 = [23,2,3,9,11,1,1,1,1,4,1,1,1,1,11,9,3,2,46]
√550 = [23,2,4,1,2,1,1,7,4,7,1,1,2,1,4,2,46]
√551 = [23,2,8,1,8,2,46]
√552 = [23,2,46]
√553 = [23,1,1,15,5,1,4,2,1,1,3,1,2,6,2,1,3,1,1,2,4,1,5,15,1,1,46]
√554 = [23,1,1,6,4,1,1,4,6,1,1,46]
√555 = [23,1,1,3,1,3,1,1,46]
√556 = [23,1,1,2,1,1,1,3,3,2,1,5,5,15,1,1,8,1,10,1,8,1,1,15,5,5,1,2,3,3,1,1,1,2,1,1,46]
√557 = [23,1,1,1,1,46]
√558 = [23,1,1,1,1,1,4,1,1,1,1,1,46]
√559 = [23,1,1,1,4,15,1,1,4,1,2,1,4,1,1,15,4,1,1,1,46]
√560 = [23,1,1,1,46]
√561 = [23,1,2,5,1,1,2,2,2,1,1,5,2,1,46]
√562 = [23,1,2,2,2,4,1,5,1,22,1,5,1,4,2,2,2,1,46]
√563 = [23,1,2,1,2,23,2,1,2,1,46]
√564 = [23,1,2,1,46]
√565 = [23,1,3,2,1,11,5,5,11,1,2,3,1,46]
√566 = [23,1,3,1,3,1,1,8,1,22,1,8,1,1,3,1,3,1,46]
√567 = [23,1,4,3,4,1,46]
√568 = [23,1,4,1,46]
√569 = [23,1,5,1,5,9,2,1,2,3,3,2,1,2,9,5,1,5,1,46]
√570 = [23,1,6,1,46]
√571 = [23,1,8,1,1,2,1,1,1,15,3,2,1,6,7,1,4,2,3,4,2,23,2,4,3,2,4,1,7,6,1,2,3,15,1,1,1,2,1,1,8,1,46]
√572 = [23,1,10,1,46]
√573 = [23,1,14,1,46]
√574 = [23,1,22,1,46]
√575 = [23,1,46]
√576 = 24 -------------------------------------------------------------------------------------------
√577 = [24,48]
√578 = [24,24,48]
√579 = [24,16,48]
√580 = [24,12,48]
√581 = [24,9,1,1,1,1,1,3,11,1,3,2,6,2,3,1,11,3,1,1,1,1,1,9,48]
√582 = [24,8,48]
√583 = [24,6,1,7,5,4,5,7,1,6,48]
√584 = [24,6,48]
√585 = [24,5,2,1,4,1,2,5,48]
√586 = [24,4,1,4,1,1,2,1,2,7,1,2,2,1,7,2,1,2,1,1,4,1,4,48]
√587 = [24,4,2,1,1,1,1,23,1,1,1,1,2,4,48]
√588 = [24,4,48]
√589 = [24,3,1,2,2,15,1,3,9,2,4,1,11,3,6,1,1,1,1,3,2,3,1,1,1,1,6,3,11,1,4,2,9,3,1,15,2,2,1,3,48]
√590 = [24,3,2,4,2,3,48]
√591 = [24,3,4,1,1,7,1,1,4,3,48]
√592 = [24,3,48]
√593 = [24,2,1,5,2,2,1,1,2,2,5,1,2,48]
√594 = [24,2,1,2,5,24,5,2,1,2,48]
√595 = [24,2,1,1,4,1,4,1,1,2,48]
√596 = [24,2,2,2,1,1,1,6,2,1,9,12,9,1,2,6,1,1,1,2,2,2,48]
√597 = [24,2,3,3,1,3,1,2,11,1,6,16,6,1,11,2,1,3,1,3,3,2,48]
√598 = [24,2,4,1,15,2,15,1,4,2,48]
√599 = [24,2,9,3,2,1,1,3,1,6,4,1,2,1,23,1,2,1,4,6,1,3,1,1,2,3,9,2,48]
√600 = [24,2,48]
√601 = [24,1,1,15,1,5,5,3,1,1,2,1,2,2,1,9,9,1,2,2,1,2,1,1,3,5,5,1,15,1,1,48]
√602 = [24,1,1,6,1,1,48]
√603 = [24,1,1,3,1,23,1,3,1,1,48]
√604 = [24,1,1,2,1,3,2,1,1,1,1,1,4,1,5,3,9,1,1,15,1,6,12,6,1,15,1,1,9,3,5,1,4,1,1,1,1,1,2,3,1,2,1,1,48]
√605 = [24,1,1,2,11,1,8,1,11,2,1,1,48]
√606 = [24,1,1,1,1,1,1,2,1,9,8,9,1,2,1,1,1,1,1,1,48]
√607 = [24,1,1,1,3,7,1,15,1,1,4,1,23,1,4,1,1,15,1,7,3,1,1,1,48]
√608 = [24,1,1,1,11,1,1,1,48]
√609 = [24,1,2,9,1,1,6,1,1,9,2,1,48]
√610 = [24,1,2,3,5,5,3,2,1,48]
√611 = [24,1,2,1,1,4,2,1,2,4,1,1,2,1,48]
√612 = [24,1,2,1,4,1,2,1,48]
√613 = [24,1,3,6,1,4,1,1,1,3,2,11,1,15,1,1,2,2,1,1,15,1,11,2,3,1,1,1,4,1,6,3,1,48]
√614 = [24,1,3,1,1,9,2,1,4,3,1,1,2,24,2,1,1,3,4,1,2,9,1,1,3,1,48]
√615 = [24,1,3,1,48]
√616 = [24,1,4,1,1,6,1,1,4,1,48]
√617 = [24,1,5,4,2,1,6,2,2,6,1,2,4,5,1,48]
√618 = [24,1,6,8,6,1,48]
√619 = [24,1,7,3,5,4,1,3,1,2,1,1,9,2,1,1,1,15,1,23,1,15,1,1,1,2,9,1,1,2,1,3,1,4,5,3,7,1,48]
√620 = [24,1,8,1,48]
√621 = [24,1,11,2,11,1,48]
√622 = [24,1,15,1,1,1,4,1,7,2,24,2,7,1,4,1,1,1,15,1,48]
√623 = [24,1,23,1,48]
√624 = [24,1,48]
√625 = 25 -------------------------------------------------------------------------------------------
√626 = [25,50]
√627 = [25,25,50]
√628 = [25,16,1,2,5,4,2,1,2,2,3,1,3,12,3,1,3,2,2,1,2,4,5,2,1,16,50]
√629 = [25,12,1,1,12,50]
√630 = [25,10,50]
√631 = [25,8,2,1,4,1,9,4,2,6,1,2,1,2,1,1,1,1,4,2,2,2,1,16,25,16,1,2,2,2,4,1,1,1,1,2,1,2,1,6,2,4,9,1,4,1,2,8,50]
√632 = [25,7,6,7,50]
√633 = [25,6,3,1,2,2,1,1,2,16,2,1,1,2,2,1,3,6,50]
√634 = [25,5,1,1,2,1,4,3,6,1,7,1,1,7,1,6,3,4,1,2,1,1,5,50]
√635 = [25,5,50]
√636 = [25,4,1,1,3,3,12,3,3,1,1,4,50]
√637 = [25,4,5,2,1,3,1,1,12,16,1,2,1,16,12,1,1,3,1,2,5,4,50]
√638 = [25,3,1,6,2,6,1,3,50]
√639 = [25,3,1,1,2,4,4,1,4,1,4,4,2,1,1,3,50]
√640 = [25,3,2,1,4,1,11,1,4,1,2,3,50]
√641 = [25,3,6,1,9,3,1,3,1,5,1,1,5,1,3,1,3,9,1,6,3,50]
√642 = [25,2,1,24,1,2,50]
√643 = [25,2,1,3,1,16,8,2,1,1,5,25,5,1,1,2,8,16,1,3,1,2,50]
√644 = [25,2,1,1,1,6,1,1,1,2,50]
√645 = [25,2,1,1,12,10,12,1,1,2,50]
√646 = [25,2,2,2,50]
√647 = [25,2,3,2,2,1,1,4,25,4,1,1,2,2,3,2,50]
√648 = [25,2,5,6,5,2,50]
√649 = [25,2,9,1,2,3,1,1,2,1,4,1,16,6,3,4,3,6,16,1,4,1,2,1,1,3,2,1,9,2,50]
√650 = [25,2,50]
√651 = [25,1,1,16,1,1,50]
√652 = [25,1,1,6,1,3,1,3,2,5,1,16,5,1,1,1,1,2,12,2,1,1,1,1,5,16,1,5,2,3,1,3,1,6,1,1,50]
√653 = [25,1,1,4,7,12,1,1,1,3,3,1,1,1,12,7,4,1,1,50]
√654 = [25,1,1,2,1,9,1,1,16,1,1,9,1,2,1,1,50]
√655 = [25,1,1,2,5,3,2,8,10,8,2,3,5,2,1,1,50]
√656 = [25,1,1,1,1,2,1,1,1,1,50]
√657 = [25,1,1,1,2,1,1,5,1,4,1,5,1,1,2,1,1,1,50]
√658 = [25,1,1,1,6,1,1,1,50]
√659 = [25,1,2,25,2,1,50]
√660 = [25,1,2,4,2,1,50]
√661 = [25,1,2,2,4,4,16,1,9,2,1,12,5,1,1,1,2,1,3,1,1,3,1,2,1,1,1,5,12,1,2,9,1,16,4,4,2,2,1,50]
√662 = [25,1,2,1,2,3,1,1,2,6,1,24,1,6,2,1,1,3,2,1,2,1,50]
√663 = [25,1,2,1,50]
√664 = [25,1,3,3,5,2,2,1,1,2,1,5,1,2,1,1,2,2,5,3,3,1,50]
√665 = [25,1,3,1,2,2,2,1,3,1,50]
√666 = [25,1,4,5,1,1,6,1,4,1,6,1,1,5,4,1,50]
√667 = [25,1,4,1,3,7,8,2,8,7,3,1,4,1,50]
√668 = [25,1,5,2,12,2,5,1,50]
√669 = [25,1,6,2,2,3,1,9,1,1,2,1,12,4,1,1,1,1,1,16,1,1,1,1,1,4,12,1,2,1,1,9,1,3,2,2,6,1,50]
√670 = [25,1,7,1,1,1,5,10,5,1,1,1,7,1,50]
√671 = [25,1,9,2,1,1,1,2,9,1,50]
√672 = [25,1,11,1,50]
√673 = [25,1,16,3,5,2,3,1,1,6,1,5,1,1,1,1,1,1,1,1,5,1,6,1,1,3,2,5,3,16,1,50]
√674 = [25,1,24,1,50]
√675 = [25,1,50]
√676 = 26 -------------------------------------------------------------------------------------------
√677 = [26,52]
√678 = [26,26,52]
√679 = [26,17,2,1,5,8,1,1,25,1,1,8,5,1,2,17,52]
√680 = [26,13,52]
√681 = [26,10,2,2,1,1,2,6,7,3,2,1,16,1,2,3,7,6,2,1,1,2,2,10,52]
√682 = [26,8,1,2,5,2,5,2,1,8,52]
√683 = [26,7,2,4,3,1,1,25,1,1,3,4,2,7,52]
√684 = [26,6,1,1,12,1,1,6,52]
√685 = [26,5,1,3,1,12,3,2,2,3,12,1,3,1,5,52]
√686 = [26,5,4,1,1,3,2,10,26,10,2,3,1,1,4,5,52]
√687 = [26,4,1,2,1,16,1,2,1,4,52]
√688 = [26,4,2,1,5,7,3,7,5,1,2,4,52]
√689 = [26,4,52]
√690 = [26,3,1,2,1,3,52]
√691 = [26,3,2,17,10,2,5,2,1,2,1,4,1,1,8,4,1,1,1,25,1,1,1,4,8,1,1,4,1,2,1,2,5,2,10,17,2,3,52]
√692 = [26,3,3,1,2,1,1,12,1,1,2,1,3,3,52]
√693 = [26,3,12,1,4,1,12,3,52]
√694 = [26,2,1,9,1,6,1,1,1,1,1,2,1,8,17,2,4,3,3,2,4,1,5,26,5,1,4,2,3,3,4,2,17,8,1,2,1,1,1,1,1,6,1,9,1,2,52]
√695 = [26,2,1,3,10,3,1,2,52]
√696 = [26,2,1,1,1,1,1,2,52]
√697 = [26,2,2,52]
√698 = [26,2,2,1,1,1,1,2,2,52]
√699 = [26,2,3,1,1,2,1,25,1,2,1,1,3,2,52]
√700 = [26,2,5,2,1,1,1,1,12,1,1,1,1,2,5,2,52]
√701 = [26,2,10,10,2,52]
√702 = [26,2,52]
√703 = [26,1,1,17,5,1,5,17,1,1,52]
√704 = [26,1,1,7,13,7,1,1,52]
√705 = [26,1,1,4,3,10,3,4,1,1,52]
√706 = [26,1,1,3,26,3,1,1,52]
√707 = [26,1,1,2,3,2,1,1,52]
√708 = [26,1,1,1,1,4,4,4,1,1,1,1,52]
√709 = [26,1,1,1,2,7,4,3,3,4,7,2,1,1,1,52]
√710 = [26,1,1,1,4,1,1,1,52]
√711 = [26,1,1,1,52]
√712 = [26,1,2,6,2,1,52]
√713 = [26,1,2,2,1,4,6,2,6,4,1,2,2,1,52]
√714 = [26,1,2,1,1,2,1,1,2,1,52]
√715 = [26,1,2,1,5,5,5,1,2,1,52]
√716 = [26,1,3,7,2,1,1,6,10,1,1,4,2,1,12,1,2,4,1,1,10,6,1,1,2,7,3,1,52]
√717 = [26,1,3,2,12,1,16,1,12,2,3,1,52]
√718 = [26,1,3,1,8,7,1,1,5,2,2,1,2,3,1,3,17,1,1,2,26,2,1,1,17,3,1,3,2,1,2,2,5,1,1,7,8,1,3,1,52]
√719 = [26,1,4,2,1,1,1,1,1,4,3,1,9,1,25,1,9,1,3,4,1,1,1,1,1,2,4,1,52]
√720 = [26,1,4,1,52]
√721 = [26,1,5,1,2,1,2,1,1,1,1,1,1,17,3,1,1,10,5,1,6,1,5,10,1,1,3,17,1,1,1,1,1,1,2,1,2,1,5,1,52]
√722 = [26,1,6,1,2,3,2,26,2,3,2,1,6,1,52]
√723 = [26,1,7,1,52]
√724 = [26,1,9,1,3,1,1,2,1,4,5,1,3,3,3,17,1,1,1,2,1,12,1,2,1,1,1,17,3,3,3,1,5,4,1,2,1,1,3,1,9,1,52]
√725 = [26,1,12,2,12,1,52]
√726 = [26,1,16,1,52]
√727 = [26,1,25,1,52]
√728 = [26,1,52]
√729 = 27 -------------------------------------------------------------------------------------------
√730 = [27,54]
√731 = [27,27,54]
√732 = [27,18,54]
√733 = [27,13,1,1,13,54]
√734 = [27,10,1,4,1,1,26,1,1,4,1,10,54]
√735 = [27,9,54]
√736 = [27,7,1,2,1,2,1,7,54]
√737 = [27,6,1,3,3,7,2,4,2,7,3,3,1,6,54]
√738 = [27,6,54]
√739 = [27,5,2,2,1,1,3,3,2,1,8,2,1,2,1,17,2,1,1,7,5,1,10,27,10,1,5,7,1,1,2,17,1,2,1,2,8,1,2,3,3,1,1,2,2,5,54]
√740 = [27,4,1,12,1,4,54]
√741 = [27,4,1,1,13,18,13,1,1,4,54]
√742 = [27,4,5,1,4,8,1,6,1,8,4,1,5,4,54]
√743 = [27,3,1,7,27,7,1,3,54]
√744 = [27,3,1,1,1,1,1,1,1,3,54]
√745 = [27,3,2,1,1,5,2,10,2,5,1,1,2,3,54]
√746 = [27,3,5,7,1,1,1,1,1,1,7,5,3,54]
√747 = [27,3,54]
√748 = [27,2,1,6,5,1,12,1,5,6,1,2,54]
√749 = [27,2,1,2,1,1,4,2,1,1,13,10,1,6,1,10,13,1,1,2,4,1,1,2,1,2,54]
√750 = [27,2,1,1,2,3,1,1,8,1,1,3,2,1,1,2,54]
√751 = [27,2,2,8,1,2,1,3,5,1,4,1,1,1,3,1,1,3,10,1,2,7,2,17,1,4,27,4,1,17,2,7,2,1,10,3,1,1,3,1,1,1,4,1,5,3,1,2,1,8,2,2,54]
√752 = [27,2,2,1,2,1,2,2,54]
√753 = [27,2,3,1,2,1,1,1,7,4,1,6,18,6,1,4,7,1,1,1,2,1,3,2,54]
√754 = [27,2,5,1,1,1,1,5,2,54]
√755 = [27,2,10,2,54]
√756 = [27,2,54]
√757 = [27,1,1,17,1,5,5,1,17,1,1,54]
√758 = [27,1,1,7,2,1,3,3,1,26,1,3,3,1,2,7,1,1,54]
√759 = [27,1,1,4,1,1,54]
√760 = [27,1,1,3,5,1,5,3,1,1,54]
√761 = [27,1,1,2,2,1,1,54]
√762 = [27,1,1,1,1,8,1,1,1,1,54]
√763 = [27,1,1,1,1,1,5,1,1,17,1,6,1,17,1,1,5,1,1,1,1,1,54]
√764 = [27,1,1,1,3,1,1,2,2,1,6,4,1,7,10,1,12,1,10,7,1,4,6,1,2,2,1,1,3,1,1,1,54]
√765 = [27,1,1,1,13,6,13,1,1,1,54]
√766 = [27,1,2,10,1,2,1,3,1,1,17,1,8,3,1,1,2,1,2,5,5,1,26,1,5,5,2,1,2,1,1,3,8,1,17,1,1,3,1,2,1,10,2,1,54]
√767 = [27,1,2,3,1,1,1,1,1,3,2,1,54]
√768 = [27,1,2,2,13,2,2,1,54]
√769 = [27,1,2,1,2,1,1,17,1,10,6,1,5,3,3,2,1,1,1,1,1,1,2,3,3,5,1,6,10,1,17,1,1,2,1,2,1,54]
√770 = [27,1,2,1,54]
√771 = [27,1,3,3,2,4,1,1,1,1,2,27,2,1,1,1,1,4,2,3,3,1,54]
√772 = [27,1,3,1,1,1,5,1,1,7,2,1,1,17,1,12,1,17,1,1,2,7,1,1,5,1,1,1,3,1,54]
√773 = [27,1,4,13,1,2,2,1,13,4,1,54]
√774 = [27,1,4,1,1,2,1,1,4,1,54]
√775 = [27,1,5,4,1,8,2,8,1,4,5,1,54]
√776 = [27,1,5,1,54]
√777 = [27,1,6,1,54]
√778 = [27,1,8,3,5,1,7,7,1,5,3,8,1,54]
√779 = [27,1,10,5,2,27,2,5,10,1,54]
√780 = [27,1,12,1,54]
√781 = [27,1,17,1,1,1,5,1,1,4,1,1,5,1,1,1,17,1,54]
√782 = [27,1,26,1,54]
√783 = [27,1,54]
√784 = 28 -------------------------------------------------------------------------------------------
√785 = [28,56]
√786 = [28,28,56]
√787 = [28,18,1,2,5,1,8,1,1,27,1,1,8,1,5,2,1,18,56]
√788 = [28,14,56]
√789 = [28,11,4,1,1,2,3,1,13,3,1,2,18,2,1,3,13,1,3,2,1,1,4,11,56]
√790 = [28,9,2,1,5,1,1,3,4,1,4,1,4,3,1,1,5,1,2,9,56]
√791 = [28,8,56]
√792 = [28,7,56]
√793 = [28,6,4,6,56]
√794 = [28,5,1,1,1,1,1,1,1,1,5,56]
√795 = [28,5,9,5,56]
√796 = [28,4,1,2,5,1,10,2,3,1,6,3,1,1,1,1,2,4,1,2,1,18,14,18,1,2,1,4,2,1,1,1,1,3,6,1,3,2,10,1,5,2,1,4,56]
√797 = [28,4,3,13,1,4,4,1,13,3,4,56]
√798 = [28,4,56]
√799 = [28,3,1,3,56]
√800 = [28,3,1,1,13,1,1,3,56]
√801 = [28,3,3,4,1,5,2,10,1,6,6,6,1,10,2,5,1,4,3,3,56]
√802 = [28,3,7,1,3,6,28,6,3,1,7,3,56]
√803 = [28,2,1,27,1,2,56]
√804 = [28,2,1,4,2,18,2,4,1,2,56]
√805 = [28,2,1,2,5,1,13,2,1,10,1,2,13,1,5,2,1,2,56]
√806 = [28,2,1,1,3,2,5,4,5,2,3,1,1,2,56]
√807 = [28,2,2,4,1,3,4,9,4,3,1,4,2,2,56]
√808 = [28,2,2,1,5,1,1,1,1,13,1,1,1,1,5,1,2,2,56]
√809 = [28,2,3,1,7,2,1,6,2,3,11,11,3,2,6,1,2,7,1,3,2,56]
√810 = [28,2,5,1,4,1,5,2,56]
√811 = [28,2,10,1,8,1,1,2,1,1,1,3,6,18,1,4,1,2,1,27,1,2,1,4,1,18,6,3,1,1,1,2,1,1,8,1,10,2,56]
√812 = [28,2,56]
√813 = [28,1,1,18,1,1,56]
√814 = [28,1,1,7,1,1,1,5,18,1,5,2,1,1,4,1,1,2,5,1,18,5,1,1,1,7,1,1,56]
√815 = [28,1,1,4,1,2,5,2,1,4,1,1,56]
√816 = [28,1,1,3,3,3,1,1,56]
√817 = [28,1,1,2,1,1,56]
√818 = [28,1,1,1,1,56]
√819 = [28,1,1,1,1,1,1,1,1,1,56]
√820 = [28,1,1,1,2,1,10,1,2,1,1,1,56]
√821 = [28,1,1,1,7,1,1,10,1,13,2,2,2,1,1,1,1,2,2,2,13,1,10,1,1,7,1,1,1,56]
√822 = [28,1,2,28,2,1,56]
√823 = [28,1,2,4,1,7,2,1,1,1,1,8,1,18,4,2,1,3,2,2,5,1,27,1,5,2,2,3,1,2,4,18,1,8,1,1,1,1,2,7,1,4,2,1,56]
√824 = [28,1,2,2,1,1,6,1,1,2,2,1,56]
√825 = [28,1,2,1,1,1,1,4,1,1,1,1,2,1,56]
√826 = [28,1,2,1,5,1,1,1,3,5,2,9,8,9,2,5,3,1,1,1,5,1,2,1,56]
√827 = [28,1,3,7,1,27,1,7,3,1,56]
√828 = [28,1,3,2,3,1,56]
√829 = [28,1,3,1,4,2,3,2,1,1,2,3,2,4,1,3,1,56]
√830 = [28,1,4,3,1,10,1,3,4,1,56]
√831 = [28,1,4,1,3,1,1,1,1,18,1,1,1,1,3,1,4,1,56]
√832 = [28,1,5,2,2,1,13,1,2,2,5,1,56]
√833 = [28,1,6,4,3,2,1,2,1,2,3,4,6,1,56]
√834 = [28,1,7,3,1,2,1,1,1,3,2,28,2,3,1,1,1,2,1,3,7,1,56]
√835 = [28,1,8,1,1,1,5,1,3,3,1,1,2,5,2,1,1,3,3,1,5,1,1,1,8,1,56]
√836 = [28,1,10,1,1,2,1,1,10,1,56]
√837 = [28,1,13,2,13,1,56]
√838 = [28,1,18,3,6,9,2,28,2,9,6,3,18,1,56]
√839 = [28,1,27,1,56]
√840 = [28,1,56]
√841 = 29 -------------------------------------------------------------------------------------------
√842 = [29,58]
√843 = [29,29,58]
√844 = [29,19,2,1,5,1,3,1,1,1,1,1,2,6,1,7,2,3,2,2,11,4,1,3,14,3,1,4,11,2,2,3,2,7,1,6,2,1,1,1,1,1,3,1,5,1,2,19,58]
√845 = [29,14,1,1,14,58]
√846 = [29,11,1,1,1,1,1,1,2,1,1,1,1,1,1,11,58]
√847 = [29,9,1,2,6,8,6,2,1,9,58]
√848 = [29,8,3,3,3,8,58]
√849 = [29,7,3,1,2,1,7,1,1,2,4,11,2,2,1,18,1,2,2,11,4,2,1,1,7,1,2,1,3,7,58]
√850 = [29,6,2,6,58]
√851 = [29,5,1,4,2,7,1,7,2,4,1,5,58]
√852 = [29,5,3,2,4,2,3,5,58]
√853 = [29,4,1,5,1,2,4,1,1,14,19,2,2,19,14,1,1,4,2,1,5,1,4,58]
√854 = [29,4,2,11,4,11,2,4,58]
√855 = [29,4,6,4,58]
√856 = [29,3,1,7,1,1,1,1,4,3,1,2,6,7,6,2,1,3,4,1,1,1,1,7,1,3,58]
√857 = [29,3,1,1,1,3,1,6,1,1,6,1,3,1,1,1,3,58]
√858 = [29,3,2,3,58]
√859 = [29,3,4,5,1,1,1,2,2,3,2,19,9,1,2,1,1,4,1,3,11,2,6,29,6,2,11,3,1,4,1,1,2,1,9,19,2,3,2,2,1,1,1,5,4,3,58]
√860 = [29,3,14,3,58]
√861 = [29,2,1,11,14,1,1,2,2,2,1,1,14,11,1,2,58]
√862 = [29,2,1,3,1,1,9,4,2,2,2,1,5,1,4,2,19,8,2,1,28,1,2,8,19,2,4,1,5,1,2,2,2,4,9,1,1,3,1,2,58]
√863 = [29,2,1,1,1,7,1,3,3,5,29,5,3,3,1,7,1,1,1,2,58]
√864 = [29,2,1,1,5,1,13,1,5,1,1,2,58]
√865 = [29,2,2,3,3,1,1,1,2,6,6,2,1,1,1,3,3,2,2,58]
√866 = [29,2,2,1,28,1,2,2,58]
√867 = [29,2,4,29,4,2,58]
√868 = [29,2,6,19,2,19,6,2,58]
√869 = [29,2,11,3,2,1,1,1,1,1,14,8,2,1,4,1,2,8,14,1,1,1,1,1,2,3,11,2,58]
√870 = [29,2,58]
√871 = [29,1,1,19,5,1,5,1,2,1,1,1,1,1,1,1,2,1,5,1,5,19,1,1,58]
√872 = [29,1,1,7,1,13,1,7,1,1,58]
√873 = [29,1,1,4,1,6,1,1,3,6,3,1,1,6,1,4,1,1,58]
√874 = [29,1,1,3,2,3,1,1,58]
√875 = [29,1,1,2,1,1,1,1,3,1,1,1,1,2,1,1,58]
√876 = [29,1,1,2,14,2,1,1,58]
√877 = [29,1,1,1,1,2,4,1,1,4,2,1,1,1,1,58]
√878 = [29,1,1,1,2,2,4,1,28,1,4,2,2,1,1,1,58]
√879 = [29,1,1,1,5,3,1,3,2,9,2,3,1,3,5,1,1,1,58]
√880 = [29,1,1,1,58]
√881 = [29,1,2,7,11,1,2,1,3,1,4,1,1,1,1,4,1,3,1,2,1,11,7,2,1,58]
√882 = [29,1,2,3,6,3,2,1,58]
√883 = [29,1,2,1,1,19,4,5,6,2,2,2,1,2,1,1,2,8,9,1,3,1,2,29,2,1,3,1,9,8,2,1,1,2,1,2,2,2,6,5,4,19,1,1,2,1,58]
√884 = [29,1,2,1,2,1,2,1,58]
√885 = [29,1,2,1,58]
√886 = [29,1,3,3,1,2,1,1,5,2,1,1,1,9,3,2,1,1,19,3,1,11,6,1,1,7,1,28,1,7,1,1,6,11,1,3,19,1,1,2,3,9,1,1,1,2,5,1,1,2,1,3,3,1,58]
√887 = [29,1,3,1,1,2,29,2,1,1,3,1,58]
√888 = [29,1,3,1,58]
√889 = [29,1,4,2,3,1,1,11,2,1,3,19,1,1,1,1,6,1,5,1,3,8,3,1,5,1,6,1,1,1,1,19,3,1,2,11,1,1,3,2,4,1,58]
√890 = [29,1,4,1,58]
√891 = [29,1,5,1,1,1,5,1,58]
√892 = [29,1,6,2,14,2,6,1,58]
√893 = [29,1,7,1,1,4,14,1,2,1,1,2,1,1,2,1,14,4,1,1,7,1,58]
√894 = [29,1,8,1,58]
√895 = [29,1,10,1,58]
√896 = [29,1,13,1,58]
√897 = [29,1,18,1,58]
√898 = [29,1,28,1,58]
√899 = [29,1,58]

Ysu2008

√900 = 30 -------------------------------------------------------------------------------------------
√901 = [30,60]
√902 = [30,30,60]
√903 = [30,20,60]
√904 = [30,15,60]
√905 = [30,12,60]
√906 = [30,10,60]
√907 = [30,8,1,1,2,2,1,19,2,1,2,5,9,1,5,1,3,1,3,1,1,29,1,1,3,1,3,1,5,1,9,5,2,1,2,19,1,2,2,1,1,8,60]
√908 = [30,7,1,1,14,1,1,7,60]
√909 = [30,6,1,2,6,2,1,6,60]
√910 = [30,6,60]
√911 = [30,5,2,8,5,1,11,4,4,2,1,1,29,1,1,2,4,4,11,1,5,8,2,5,60]
√912 = [30,5,60]
√913 = [30,4,1,1,1,2,1,1,6,7,2,2,19,1,2,1,4,1,2,1,19,2,2,7,6,1,1,2,1,1,1,4,60]
√914 = [30,4,3,3,4,60]
√915 = [30,4,60]
√916 = [30,3,1,3,3,1,1,14,1,1,3,3,1,3,60]
√917 = [30,3,1,1,4,1,14,3,8,3,14,1,4,1,1,3,60]
√918 = [30,3,2,1,6,30,6,1,2,3,60]
√919 = [30,3,5,1,2,1,2,1,1,1,2,3,1,19,2,3,1,1,4,9,1,7,1,3,6,2,11,1,1,1,29,1,1,1,11,2,6,3,1,7,1,9,4,1,1,3,2,19,1,3,2,1,1,1,2,1,2,1,5,3,60]
√920 = [30,3,60]
√921 = [30,2,1,6,1,11,3,1,2,2,3,1,1,1,1,1,8,20,8,1,1,1,1,1,3,2,2,1,3,11,1,6,1,2,60]
√922 = [30,2,1,2,1,9,2,1,1,6,6,1,1,2,9,1,2,1,2,60]
√923 = [30,2,1,1,1,2,60]
√924 = [30,2,1,1,14,1,1,2,60]
√925 = [30,2,2,2,2,60]
√926 = [30,2,3,11,1,7,1,3,2,5,1,1,1,4,30,4,1,1,1,5,2,3,1,7,1,11,3,2,60]
√927 = [30,2,4,5,3,5,4,2,60]
√928 = [30,2,6,3,1,1,1,8,15,8,1,1,1,3,6,2,60]
√929 = [30,2,11,1,2,3,2,7,5,2,2,5,7,2,3,2,1,11,2,60]
√930 = [30,2,60]
√931 = [30,1,1,19,1,5,6,1,1,1,1,2,1,1,1,1,6,5,1,19,1,1,60]
√932 = [30,1,1,8,4,1,1,2,1,1,1,14,1,1,1,2,1,1,4,8,1,1,60]
√933 = [30,1,1,5,20,5,1,1,60]
√934 = [30,1,1,3,1,1,3,30,3,1,1,3,1,1,60]
√935 = [30,1,1,2,1,2,1,1,60]
√936 = [30,1,1,2,6,2,1,1,60]
√937 = [30,1,1,1,1,3,4,2,3,6,1,1,19,1,6,1,2,2,1,6,1,19,1,1,6,3,2,4,3,1,1,1,1,60]
√938 = [30,1,1,1,2,8,2,1,1,1,60]
√939 = [30,1,1,1,4,20,4,1,1,1,60]
√940 = [30,1,1,1,14,1,1,1,60]
√941 = [30,1,2,11,1,14,2,2,1,1,2,2,14,1,11,2,1,60]
√942 = [30,1,2,4,20,4,2,1,60]
√943 = [30,1,2,2,2,1,60]
√944 = [30,1,2,1,1,1,2,2,3,2,2,1,1,1,2,1,60]
√945 = [30,1,2,1,6,12,6,1,2,1,60]
√946 = [30,1,3,8,1,1,6,3,3,1,3,1,1,1,2,30,2,1,1,1,3,1,3,3,6,1,1,8,3,1,60]
√947 = [30,1,3,2,2,2,1,4,1,7,1,29,1,7,1,4,1,2,2,2,3,1,60]
√948 = [30,1,3,1,3,20,3,1,3,1,60]
√949 = [30,1,4,6,1,1,1,4,2,14,1,19,1,1,1,1,19,1,14,2,4,1,1,1,6,4,1,60]
√950 = [30,1,4,1,1,1,1,1,2,1,1,1,1,1,4,1,60]
√951 = [30,1,5,5,2,3,1,1,1,9,1,1,1,3,2,5,5,1,60]
√952 = [30,1,5,1,6,1,5,1,60]
√953 = [30,1,6,1,2,1,3,8,1,1,4,4,1,1,8,3,1,2,1,6,1,60]
√954 = [30,1,7,1,5,3,2,6,2,3,5,1,7,1,60]
√955 = [30,1,9,3,6,1,1,5,12,5,1,1,6,3,9,1,60]
√956 = [30,1,11,2,1,1,1,1,7,8,1,2,2,1,2,1,14,1,2,1,2,2,1,8,7,1,1,1,1,2,11,1,60]
√957 = [30,1,14,2,14,1,60]
√958 = [30,1,19,1,1,1,6,4,1,1,1,1,2,1,4,1,9,2,30,2,9,1,4,1,2,1,1,1,1,4,6,1,1,1,19,1,60]
√959 = [30,1,29,1,60]
√960 = [30,1,60]
√961 = 31 -------------------------------------------------------------------------------------------
√962 = [31,62]
√963 = [31,31,62]
√964 = [31,20,1,2,6,1,1,3,1,1,1,1,11,1,4,3,1,14,1,3,4,1,11,1,1,1,1,3,1,1,6,2,1,20,62]
√965 = [31,15,1,1,15,62]
√966 = [31,12,2,2,2,12,62]
√967 = [31,10,2,1,6,4,3,2,2,1,1,8,3,2,1,20,31,20,1,2,3,8,1,1,2,2,3,4,6,1,2,10,62]
√968 = [31,8,1,6,1,8,62]
√969 = [31,7,1,3,3,1,1,1,2,1,1,1,3,3,1,7,62]
√970 = [31,6,1,9,1,1,9,1,6,62]
√971 = [31,6,4,1,1,1,2,5,3,2,12,31,12,2,3,5,2,1,1,1,4,6,62]
√972 = [31,5,1,1,1,7,6,1,3,1,14,1,3,1,6,7,1,1,1,5,62]
√973 = [31,5,5,2,8,2,5,5,62]
√974 = [31,4,1,3,1,1,1,11,1,5,3,8,1,1,1,1,30,1,1,1,1,8,3,5,1,11,1,1,1,3,1,4,62]
√975 = [31,4,2,4,62]
√976 = [31,4,6,1,2,3,1,4,2,3,2,4,1,3,2,1,6,4,62]
√977 = [31,3,1,8,5,1,1,3,7,1,1,7,3,1,1,5,8,1,3,62]
√978 = [31,3,1,1,1,30,1,1,1,3,62]
√979 = [31,3,2,5,1,4,1,5,2,3,62]
√980 = [31,3,3,1,1,2,1,1,3,3,62]
√981 = [31,3,8,1,1,1,1,1,1,2,1,1,15,12,2,6,2,12,15,1,1,2,1,1,1,1,1,1,8,3,62]
√982 = [31,2,1,30,1,2,62]
√983 = [31,2,1,5,31,5,1,2,62]
√984 = [31,2,1,2,2,7,2,2,1,2,62]
√985 = [31,2,1,1,2,62]
√986 = [31,2,2,62]
√987 = [31,2,2,2,62]
√988 = [31,2,3,4,1,20,6,1,14,1,6,20,1,4,3,2,62]
√989 = [31,2,4,2,1,11,1,8,15,1,1,1,1,2,1,2,2,2,1,2,1,1,1,1,15,8,1,11,1,2,4,2,62]
√990 = [31,2,6,2,62]
√991 = [31,2,12,10,2,2,2,1,1,2,6,1,1,1,1,3,1,8,4,1,2,1,2,3,1,4,1,20,6,4,31,4,6,20,1,4,1,3,2,1,2,1,4,8,1,3,1,1,1,1,6,2,1,1,2,2,2,10,12,2,62]
√992 = [31,2,62]
√993 = [31,1,1,20,1,1,62]
√994 = [31,1,1,8,1,1,62]
√995 = [31,1,1,5,4,3,12,3,4,5,1,1,62]
√996 = [31,1,1,3,1,2,2,1,1,1,4,1,1,1,2,2,1,3,1,1,62]
√997 = [31,1,1,2,1,4,1,1,4,1,2,1,1,62]
√998 = [31,1,1,2,4,8,1,3,1,30,1,3,1,8,4,2,1,1,62]
√999 = [31,1,1,1,1,5,6,1,5,2,5,1,6,5,1,1,1,1,62]
√1000 = [31,1,1,1,1,1,6,2,2,15,2,2,6,1,1,1,1,1,62]
√1001 = [31,1,1,1,3,3,2,4,2,3,3,1,1,1,62]
√1002 = [31,1,1,1,8,2,1,1,1,3,10,3,1,1,1,2,8,1,1,1,62]
√1003 = [31,1,2,31,2,1,62]
√1004 = [31,1,2,5,2,2,1,7,4,1,2,1,11,1,14,1,11,1,2,1,4,7,1,2,2,5,2,1,62]
√1005 = [31,1,2,2,1,5,15,1,2,12,2,1,15,5,1,2,2,1,62]
√1006 = [31,1,2,1,1,5,1,3,2,1,1,1,1,1,9,1,20,4,5,1,1,12,6,1,30,1,6,12,1,1,5,4,20,1,9,1,1,1,1,1,2,3,1,5,1,1,2,1,62]
√1007 = [31,1,2,1,2,1,62]
√1008 = [31,1,2,1,62]
√1009 = [31,1,3,3,1,62]
√1010 = [31,1,3,1,1,3,1,62]
√1011 = [31,1,3,1,9,1,3,1,62]
√1012 = [31,1,4,3,6,1,3,8,1,4,1,8,3,1,6,3,4,1,62]
√1013 = [31,1,4,1,4,15,1,2,2,2,2,1,15,4,1,4,1,62]
√1014 = [31,1,5,2,1,1,1,1,20,1,1,1,1,2,5,1,62]
√1015 = [31,1,6,10,2,10,6,1,62]
√1016 = [31,1,6,1,62]
√1017 = [31,1,8,7,1,6,4,1,3,5,1,1,6,1,1,5,3,1,4,6,1,7,8,1,62]
√1018 = [31,1,9,1,1,1,6,2,3,3,2,6,1,1,1,9,1,62]
√1019 = [31,1,11,1,3,1,1,1,3,8,1,5,2,31,2,5,1,8,3,1,1,1,3,1,11,1,62]
√1020 = [31,1,14,1,62]
√1021 = [31,1,20,3,6,1,3,2,1,1,12,5,4,15,1,2,1,4,1,1,2,1,1,1,5,5,1,1,1,2,1,1,4,1,2,1,15,4,5,12,1,1,2,3,1,6,3,20,1,62]
√1022 = [31,1,30,1,62]
√1023 = [31,1,62]
√1024 = 32 -------------------------------------------------------------------------------------------

jzkyllcjl

elim 发表于 2016-9-21 10:36
老头定义不了实数，谈不上逼近。另外，相等对老头是不存的。否则就有测得准原理了。
可以这么说:数学是基 ...

第一，√ 2 就是一个理想实数， 没有这个理想实数，你的逼近就没有对象了。
第二，你说的话“相等对老头是不存的” 是无根据的污蔑，捏造。等式 1+2=3 中 就有我使用的相等符号。但是，无尽小数 1.4142…… 是写不到底的事物，等式√ 2=1.4142…… 不能成立。

elim

老头理想出了1+2=3. 按照老头的实数定义，这些玩意不是现实数量大小因而不是实数。因为现实中只有一个饭桶，两个饭桶等等。老头程度不够，0.333..=1/3 都搞不定，跑这里胡扯个啥？

elim