Factores primos de Gúgolplex + 10 con 23 dígitos

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  3. Factores primos de Gúgolplex + 10 con 23 digitos

Esta es una lista de factores primos de 23 dígitos de gúgolplex + 10, es decir, 1010^100 + 10.

Estos números tienen la forma 1 + 2k ∏i piei, donde pi es un factor primo de 10100 − 1 y ei es cero o uno.

La lista de factores primos de 10100 − 1 es: 3, 3, 11, 41, 101, 251, 271, 3541, 5051, 9091, 21401, 25601, 27961, 60101, 7019801, 18 2521213001, 1410 3673319201, 7887 5943472201 y 168058 8011350901.

En esta lista se pueden ver los factores primos, sus descubridores y los valores de k.

  1. 100 0365964092 6909341291 (Patrick Demichel, k=463195)
  2. 100 0730471682 1273285579 (Phil Carmody, k=19033)
  3. 100 7329270664 7389840063 (John Gamble, k=16991)
  4. 101 1775814677 2104517259 (Patrick Demichel, k=6131)
  5. 101 2727641429 7383990687 (Norm Dresner, k=10771)
  6. 101 8850292885 1315698037 (Phil Carmody, k=622)
  7. 102 1519628418 1519628317 (Phil Carmody, k=342)
  8. 102 2659525542 5237753329 (David Broadhurst, k=8)
  9. 102 3899187409 5913246099 (David Broadhurst, k=1)
  10. 102 7590858871 5313631047 (David Broadhurst, k=1)
  11. 102 7745403445 4126988569 (David Broadhurst, k=4)
  12. 103 5079549696 0994931733 (David Broadhurst, k=2)
  13. 104 3622266032 9018563011 (Patrick Demichel, k=1315405)
  14. 105 6425753640 7210609891 (Phil Carmody, k=105)
  15. 106 0390285157 4081259453 (David Broadhurst, k=2)
  16. 106 6939117184 1815328499 (Phil Carmody, k=373)
  17. 107 2526748643 9445170969 (Patrick Demichel, k=107676)
  18. 107 2864679619 2080730441 (David Broadhurst, k=20)
  19. 107 7643065310 6441007543 (Phil Carmody, k=1261)
  20. 108 5275016153 8119926779 (David Broadhurst, k=43)
  21. 108 5871208900 5032122609 (David Broadhurst, k=8)
  22. 109 5127278115 5127278007 (David Broadhurst, k=1)
  23. 109 5281104917 5281104809 (David Broadhurst, k=4)
  24. 109 9805058317 9259259489 (David Broadhurst, k=16)
  25. 111 3771630805 7876860717 (David Broadhurst, k=2)
  26. 111 4253467762 9988956369 (David Broadhurst, k=8)
  27. 111 5846997427 5214407653 (Phil Carmody, k=1306)
  28. 111 6400335703 1138466847 (David Broadhurst, k=7)
  29. 111 9025583480 3571859807 (Patrick Demichel, k=179117)
  30. 112 7117518052 5537109533 (David Broadhurst, k=14)
  31. 113 1624953980 6653028687 (David Broadhurst, k=1)
  32. 113 2189953660 9767584093 (David Broadhurst, k=2)
  33. 114 2030908176 2030908063 (David Broadhurst, k=19)
  34. 115 7932619088 9697657099 (Phil Carmody, k=151)
  35. 116 5323000074 6972390677 (Patrick Demichel, k=104426)
  36. 119 4102882644 1018335131 (David Broadhurst, k=5)
  37. 119 6781552986 0628339463 (Patrick Demichel, k=759257)
  38. 119 7294292511 7892459237 (David Broadhurst, k=2)
  39. 121 0080396281 1046742143 (David Broadhurst, k=39)
  40. 121 5423105089 6413203979 (Patrick Demichel, k=754813)
  41. 122 6821632288 0943154329 (Phil Carmody, k=116)
  42. 123 3637502481 0562183813 (Patrick Demichel, k=22034)
  43. 124 1674982148 4658154397 (Phil Carmody, k=4402)
  44. 124 2228144594 3607923449 (David Broadhurst, k=4)
  45. 124 6182266971 9618087729 (David Broadhurst, k=8)
  46. 124 6646026847 8866747169 (David Broadhurst, k=16)
  47. 124 7249908301 3199249143 (David Broadhurst, k=1)
  48. 125 4548884992 9895559327 (Patrick Demichel, k=804403)
  49. 126 6333873114 6853167721 (David Broadhurst, k=20)
  50. 127 8390696827 2101832207 (David Broadhurst, k=1)
  51. 128 5157348426 5157348299 (David Broadhurst, k=1)
  52. 128 8665920183 1068721367 (Phil Carmody, k=247)
  53. 130 3703139684 6396225859 (David Broadhurst, k=13)
  54. 130 6902465664 2259709251 (Patrick Demichel, k=294875)
  55. 131 4377914657 3711436131 (David Broadhurst, k=5)
  56. 131 9986800131 9986800133 (David Broadhurst, k=2)
  57. 132 2449040870 9551863379 (David Broadhurst, k=1)
  58. 133 1331407780 1158600521 (David Broadhurst, k=20)
  59. 133 5251490375 4561860139 (David Broadhurst, k=1)
  60. 133 7092941981 6991275653 (Phil Carmody, k=266)
  61. 135 0076012991 2452250481 (Phil Carmody, k=440)
  62. 135 0707026115 8060988143 (David Broadhurst, k=7)
  63. 135 2146662881 3671754077 (Norm Dresner, k=10902)
  64. 135 2791162957 3007978917 (David Broadhurst, k=22)
  65. 137 0064190832 6016648223 (Patrick Demichel, k=498139)
  66. 137 4749209607 9303664917 (Phil Carmody, k=178)
  67. 137 6236211187 3911451037 (David Broadhurst, k=2)
  68. 138 4730483927 2776691007 (Phil Carmody, k=313)
  69. 138 9569884373 5981822573 (David Broadhurst, k=2)
  70. 139 3794250326 5733992659 (David Broadhurst, k=43)
  71. 139 5453133288 2394675087 (Patrick Demichel, k=23501)
  72. 140 4208491902 5820220367 (David Broadhurst, k=1)
  73. 142 9246956859 0539230503 (Phil Carmody, k=299)
  74. 144 2896514170 8828831847 (John Gamble, k=14587)
  75. 144 6102250221 7440185059 (David Broadhurst, k=1)
  76. 146 8243948431 8265516517 (David Broadhurst, k=46)
  77. 148 2728501454 2726043853 (Patrick Demichel, k=455954)
  78. 148 8161665760 8387590493 (Patrick Demichel, k=110102)
  79. 149 4126022967 4126022819 (David Broadhurst, k=13)
  80. 149 8751423679 4744511131 (David Broadhurst, k=5)
  81. 150 1967335959 8032663891 (David Broadhurst, k=5)
  82. 151 3926828253 9406504929 (Phil Carmody, k=208)
  83. 151 4210179325 6388396997 (David Broadhurst, k=2)
  84. 152 8253215339 0315735783 (Phil Carmody, k=1799)
  85. 152 8942504424 3059309823 (David Broadhurst, k=1)
  86. 153 1329794840 1012873889 (Patrick Demichel, k=6128)
  87. 153 2098518174 1234815007 (David Broadhurst, k=1)
  88. 153 4654384746 7888385983 (David Broadhurst, k=29)
  89. 153 7995948328 5853939849 (Phil Carmody, k=4156)
  90. 153 8704028642 1338066533 (Phil Carmody, k=182)
  91. 156 2788546051 9004304157 (Phil Carmody, k=882)
  92. 157 9409594095 9409593939 (David Broadhurst, k=1)
  93. 158 0773390546 0856149099 (Patrick Demichel, k=6531)
  94. 158 9932632649 2256789087 (David Broadhurst, k=1)
  95. 159 2422985152 2551186899 (David Broadhurst, k=1)
  96. 159 8701853075 5067538059 (Patrick Demichel, k=214829)
  97. 160 2160799710 0603427773 (David Broadhurst, k=2)
  98. 161 0357495685 3963947369 (Phil Carmody, k=364)
  99. 161 6143265397 0845767969 (Phil Carmody, k=208)
  100. 161 6326605508 9452277463 (David Broadhurst, k=1)
  101. 162 5239668443 5962743419 (David Broadhurst, k=1)
  102. 162 6933359647 0139210917 (Phil Carmody, k=106)
  103. 162 8971666338 2014425607 (Phil Carmody, k=1301)
  104. 163 6248677916 7009748213 (David Broadhurst, k=46)
  105. 163 9299975937 1613733037 (Phil Carmody, k=118)
  106. 164 8122336954 9418123249 (Phil Carmody, k=1448)
  107. 165 1738244744 0998882463 (Phil Carmody, k=1961)
  108. 165 2292635885 4444139943 (David Broadhurst, k=1)
  109. 166 1133586121 1366249437 (Phil Carmody, k=238)
  110. 167 0428322465 0428322299 (Phil Carmody, k=2021)
  111. 167 0490126639 9582839131 (David Broadhurst, k=5)
  112. 167 6393467969 6783296493 (David Broadhurst, k=2)
  113. 168 2352254013 7765978783 (Phil Carmody, k=2229)
  114. 169 5106520224 7330703979 (Phil Carmody, k=221)
  115. 169 5499363528 4608274251 (Patrick Demichel, k=149125)
  116. 170 4297034225 9544558809 (David Broadhurst, k=68)
  117. 172 3075403225 3093158289 (Patrick Demichel, k=28504)
  118. 173 8226444547 0952741717 (David Broadhurst, k=2)
  119. 174 7439154855 9662115983 (David Broadhurst, k=1)
  120. 176 0858885435 0500319699 (David Broadhurst, k=49)
  121. 177 4930809186 5372984303 (David Broadhurst, k=1)
  122. 179 4436445376 8490880099 (David Broadhurst, k=1)
  123. 181 3454592444 9296176423 (Patrick Demichel, k=138607)
  124. 182 2108818638 0062832773 (Norm Dresner, k=10262)
  125. 183 3761351425 2088795303 (Patrick Demichel, k=7607)
  126. 183 9410783301 4735557979 (David Broadhurst, k=1)
  127. 184 4709497691 1865668081 (Phil Carmody, k=760)
  128. 184 4918161182 8415171967 (David Broadhurst, k=1)
  129. 185 4375455520 9820999891 (Patrick Demichel, k=1499755)
  130. 187 8674164112 0562292063 (Phil Carmody, k=1019)
  131. 187 8753348230 8258298539 (David Broadhurst, k=71)
  132. 190 9920567787 6206927383 (Patrick Demichel, k=124631)
  133. 192 9865759344 0954868063 (David Broadhurst, k=7)
  134. 195 6151880221 4171682007 (David Broadhurst, k=1)
  135. 197 6385954170 4900805459 (David Broadhurst, k=81)
  136. 199 0384265322 4611884441 (David Broadhurst, k=20)
  137. 199 8375845935 2807375367 (David Broadhurst, k=1)
  138. 199 9340799708 6058012771 (Phil Carmody, k=545)
  139. 200 9128120538 4773418277 (Phil Carmody, k=262)
  140. 202 7748046380 5569828357 (Patrick Demichel, k=51662)
  141. 206 6879300672 2126825219 (David Broadhurst, k=23)
  142. 207 3680018676 5399871619 (Phil Carmody, k=233)
  143. 208 4354826560 3972733859 (David Broadhurst, k=1)
  144. 208 6706871206 6815039979 (Phil Carmody, k=919)
  145. 208 9450890639 2307726739 (David Broadhurst, k=1)
  146. 209 6000201237 8387097063 (Patrick Demichel, k=75131)
  147. 209 6145664447 2292095493 (David Broadhurst, k=2)
  148. 209 9331202097 2080475447 (David Broadhurst, k=31)
  149. 210 3503260091 5303982317 (David Broadhurst, k=2)
  150. 210 5648196743 3169245767 (David Broadhurst, k=1)
  151. 211 2105067540 5637128811 (Phil Carmody, k=235)
  152. 211 6914259256 2599974659 (David Broadhurst, k=1)
  153. 213 0641204072 2883694601 (David Broadhurst, k=100)
  154. 213 1050780611 0960410447 (David Broadhurst, k=1)
  155. 213 4768546889 1171393499 (David Broadhurst, k=1)
  156. 214 5942710118 0207351169 (Patrick Demichel, k=678208)
  157. 216 5004613177 1848626931 (Phil Carmody, k=135)
  158. 217 6711429476 2722764649 (Phil Carmody, k=4508)
  159. 221 3930001905 8088417527 (David Broadhurst, k=1)
  160. 222 5261417492 6507464597 (Norm Dresner, k=12502)
  161. 222 6980829138 5368380481 (Patrick Demichel, k=8480)
  162. 223 4364143641 4364143419 (Patrick Demichel, k=1241301)
  163. 223 9190938889 3721105691 (Patrick Demichel, k=1154015)
  164. 223 9799574529 4042427049 (David Broadhurst, k=36)
  165. 224 3794283241 5195584693 (David Broadhurst, k=2)
  166. +22464432728829587288539 (David Broadhurst usando ECM) (k=4605254761957684971)
  167. 224 8398994485 5640435499 (Patrick Demichel, k=5833)
  168. 226 2343149194 6659160557 (Patrick Demichel, k=478422)
  169. 229 6831631724 5607392437 (Phil Carmody, k=262)
  170. 230 6623632892 4831135971 (David Broadhurst, k=95)
  171. 231 5785612056 0514692607 (Phil Carmody, k=337)
  172. 232 4985659270 3128601263 (David Broadhurst, k=7)
  173. 235 5743956113 9009466849 (David Broadhurst, k=16)
  174. 237 6193296545 0230638979 (David Broadhurst, k=1)
  175. 238 7920223016 9740683373 (David Broadhurst, k=26)
  176. 239 3155375280 3806177531 (Phil Carmody, k=3955)
  177. 241 0455144162 9470945767 (David Broadhurst, k=1)
  178. 241 4970408762 3967307647 (David Broadhurst, k=1)
  179. 243 1888339333 4719304131 (Phil Carmody, k=285)
  180. 243 8493427403 0168095333 (Patrick Demichel, k=21414)
  181. 248 0815024624 1491312459 (Patrick Demichel, k=1179643)
  182. 248 4723493726 9323246247 (David Broadhurst, k=1)
  183. 249 8606459911 2472829047 (David Broadhurst, k=27)
  184. 252 1328068834 7399799733 (John Gamble, k=14154)
  185. 253 2363999402 8088498259 (David Broadhurst, k=1)
  186. 257 0897010546 3639043837 (David Broadhurst, k=2)
  187. 258 5214215620 5320298289 (Phil Carmody, k=536)
  188. 260 7398329779 3207730567 (David Broadhurst, k=1)
  189. 260 9360432628 8137972939 (David Broadhurst, k=1)
  190. 261 6099697872 0393668299 (David Broadhurst, k=21)
  191. 263 8036049179 5112090663 (David Broadhurst, k=9)
  192. 264 7942733368 8004862447 (David Broadhurst, k=13)
  193. 265 8883509231 7431060691 (Patrick Demichel, k=28715)
  194. 265 9938259704 5399993413 (Phil Carmody, k=302)
  195. 266 2669194428 4660869521 (Phil Carmody, k=920)
  196. 266 5232815964 5232815699 (David Broadhurst, k=1)
  197. 267 7148607849 7148607583 (David Broadhurst, k=79)
  198. 268 4144546762 5878331093 (David Broadhurst, k=2)
  199. 272 1195957292 6019453209 (John Gamble, k=15276)
  200. 272 2022538207 8194263689 (David Broadhurst, k=4)
  201. 273 1163484175 4105302087 (Phil Carmody, k=457)
  202. 273 8846957046 4789406317 (Phil Carmody, k=282)
  203. 274 1304923445 9448935409 (David Broadhurst, k=8)
  204. 276 0743524529 6585108413 (Patrick Demichel, k=135262)
  205. 276 8494327921 9876588093 (David Broadhurst, k=14)
  206. 279 1480519109 1992462447 (Patrick Demichel, k=248933)
  207. 279 6380668147 3870274167 (David Broadhurst, k=1)
  208. 280 7724842965 3893918397 (David Broadhurst, k=26)
  209. 280 7892321076 7892320797 (David Broadhurst, k=2)
  210. 281 9507180519 8541599687 (Phil Carmody, k=137)
  211. 284 4265851769 2764972801 (Patrick Demichel, k=214400)
  212. 284 9251214508 0419627371 (David Broadhurst, k=15)
  213. 285 6120655831 2140826499 (Patrick Demichel, k=20713)
  214. 286 8160135556 5788203641 (Phil Carmody, k=1980)
  215. 287 2253275307 9381987893 (David Broadhurst, k=54)
  216. 292 5635239361 8157125543 (David Broadhurst, k=7)
  217. 293 4665442932 5086317929 (Phil Carmody, k=116)
  218. 294 9136608523 9037598329 (Phil Carmody, k=124)
  219. 297 3910394013 0553759423 (Phil Carmody, k=1037)
  220. 298 7963836974 1033143607 (David Broadhurst, k=7)
  221. 300 2941923056 0169645529 (Phil Carmody, k=236)
  222. 302 1409513783 8601657933 (David Broadhurst, k=2)
  223. 303 9977515397 4924111503 (Phil Carmody, k=211)
  224. 305 0825568540 0997835957 (Patrick Demichel, k=154138)
  225. 305 3649040651 7084776183 (Patrick Demichel, k=736627)
  226. 305 7067251548 9983745929 (Phil Carmody, k=4436)
  227. 306 4197036348 2469630013 (David Broadhurst, k=2)
  228. 307 4267045756 7829918207 (David Broadhurst, k=7)
  229. 312 4291646568 5683936291 (David Broadhurst, k=5)
  230. 316 7006799196 9229362849 (Patrick Demichel, k=717136)
  231. 318 5718335473 0637451329 (Patrick Demichel, k=67744)
  232. 319 5316688530 1507141767 (David Broadhurst, k=1)
  233. 323 3100238531 4172488419 (Phil Carmody, k=3961)
  234. 324 6524652155 9729958037 (David Broadhurst, k=2)
  235. 324 8857304331 3036914287 (David Broadhurst, k=31)
  236. 330 3929286892 6105376761 (Phil Carmody, k=1660)
  237. 331 2310998153 4030464931 (David Broadhurst, k=35)
  238. 331 3174478685 4117714729 (Phil Carmody, k=148)
  239. 332 5921156191 6020165761 (Phil Carmody, k=320)
  240. 334 8912631676 3633493451 (David Broadhurst, k=25)
  241. 335 4516614408 8378000213 (David Broadhurst, k=54)
  242. 336 7705017703 2294981961 (Phil Carmody, k=220)
  243. 337 9695769345 0784644213 (David Broadhurst, k=2)
  244. 342 8567666215 8547995619 (David Broadhurst, k=53)
  245. 345 1822099907 7820405127 (Patrick Demichel, k=24733)
  246. 345 5119860164 4040052689 (Patrick Demichel, k=51576)
  247. 350 2493999132 4383043943 (Patrick Demichel, k=199649)
  248. 353 4092440877 6139450133 (Phil Carmody, k=3574)
  249. 355 5927179474 9390400619 (David Broadhurst, k=1)
  250. 355 6155033312 8765015533 (Patrick Demichel, k=27062)
  251. 356 0673316110 2738627059 (Patrick Demichel, k=42811)
  252. 357 2926358824 6985764409 (David Broadhurst, k=4)
  253. 360 4426587250 6482503299 (David Broadhurst, k=1)
  254. 360 5626499465 6039007739 (Patrick Demichel, k=60941)
  255. 365 6441185443 0225480859 (David Broadhurst, k=13)
  256. 366 0413589993 8741745517 (Phil Carmody, k=1486)
  257. 366 6382246202 9545194157 (David Broadhurst, k=2)
  258. 368 9836322365 6830343933 (David Broadhurst, k=2)
  259. 370 2646662526 2005907881 (Patrick Demichel, k=211940)
  260. 373 0022961064 5012752557 (John Gamble, k=16162)
  261. 380 6164410194 9327256731 (Phil Carmody, k=215)
  262. 383 2237472696 9736193099 (Patrick Demichel, k=21441)
  263. 384 4627132463 8805366161 (Phil Carmody, k=760)
  264. 385 6422643501 1390634247 (David Broadhurst, k=1)
  265. 387 3849132357 8237387041 (Patrick Demichel, k=219440)
  266. 387 4099161399 4099161013 (David Broadhurst, k=2)
  267. 388 0170681324 3884404567 (Phil Carmody, k=2247)
  268. 389 2548323833 6904759089 (David Broadhurst, k=56)
  269. 390 4746305943 4909290223 (Phil Carmody, k=187)
  270. 392 2996032795 4679200721 (Patrick Demichel, k=68360)
  271. 392 5956644719 8840402859 (David Broadhurst, k=1)
  272. 393 8441058005 6097086983 (Phil Carmody, k=4327)
  273. 394 7932924275 9243092459 (Patrick Demichel, k=49399)
  274. 396 7276221551 5312907717 (Phil Carmody, k=3598)
  275. 397 3080682809 4603036223 (David Broadhurst, k=1)
  276. 398 2441594840 7373902917 (David Broadhurst, k=2)
  277. 399 4867562784 8931154927 (Patrick Demichel, k=95797)
  278. 400 0107185947 4502717373 (Phil Carmody, k=482)
  279. 400 8386135663 8209988219 (Patrick Demichel, k=1951631)
  280. 401 6302613894 9958747691 (Patrick Demichel, k=1052365)
  281. 401 7304183186 6841037691 (David Broadhurst, k=5)
  282. 403 1821054865 8221774739 (David Broadhurst, k=13)
  283. 404 1322789105 4788135237 (David Broadhurst, k=26)
  284. 404 8736362741 1995746607 (David Broadhurst, k=77)
  285. 407 1639993297 3278423779 (Phil Carmody, k=1303)
  286. 408 0287743911 0454363103 (David Broadhurst, k=1)
  287. 411 9550370708 6119582687 (Patrick Demichel, k=382771)
  288. 415 4036848791 5837213171 (David Broadhurst, k=35)
  289. 416 7249773033 2343204299 (Patrick Demichel, k=124063)
  290. 417 5553282222 6670687249 (David Broadhurst, k=8)
  291. 417 8901781278 4615453477 (David Broadhurst, k=2)
  292. 419 2628948905 2628948487 (David Broadhurst, k=43)
  293. 424 3646241688 6970574557 (David Broadhurst, k=38)
  294. 426 3365435964 3365435539 (Patrick Demichel, k=311923)
  295. 428 5291117000 1657484013 (David Broadhurst, k=2)
  296. 433 1136533934 2196798967 (David Broadhurst, k=1)
  297. 434 5566111367 7381854291 (David Broadhurst, k=5)
  298. 438 3799443773 2512314623 (Phil Carmody, k=299)
  299. 440 2674853434 3745810333 (David Broadhurst, k=14)
  300. 443 9355459366 5075384771 (Phil Carmody, k=185)
  301. 456 5163260573 6307353677 (David Broadhurst, k=2)
  302. 458 3332549631 4376557373 (David Broadhurst, k=2)
  303. 461 0561051932 1343316369 (Patrick Demichel, k=2639896)
  304. 461 0945743035 7558854607 (Phil Carmody, k=3391)
  305. 461 5506947375 1031203019 (Phil Carmody, k=161)
  306. 463 4400851875 4400851413 (David Broadhurst, k=2)
  307. 469 0068030970 4915940247 (David Broadhurst, k=91)
  308. 469 7962531831 0050797161 (David Broadhurst, k=20)
  309. 470 7538749208 4466170371 (Patrick Demichel, k=2699645)
  310. 477 0618158412 3291425263 (Phil Carmody, k=459)
  311. 479 5540555828 8751813889 (Phil Carmody, k=1664)
  312. 482 0873482999 2459849853 (David Broadhurst, k=2)
  313. 483 8303919932 2894365619 (David Broadhurst, k=53)
  314. 486 9601447860 1096311343 (David Broadhurst, k=17)
  315. 487 0648480920 8193632611 (Patrick Demichel, k=472495)
  316. 487 2003721794 9617877493 (David Broadhurst, k=2)
  317. 487 5905566438 7093936413 (David Broadhurst, k=62)
  318. 489 3767688240 2689875847 (David Broadhurst, k=17)
  319. 489 6774017176 7601466561 (Patrick Demichel, k=546720)
  320. 491 4198013528 1937838771 (David Broadhurst, k=15)
  321. 491 6371703971 3171531813 (Phil Carmody, k=1454)
  322. 492 4582927349 9523031099 (Phil Carmody, k=151)
  323. 495 7516448126 2483551379 (Phil Carmody, k=1611)
  324. 497 0690977574 8517029849 (Patrick Demichel, k=736916)
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