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Ratio thing for all the RSA numbers with

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Feb 3rd, 2021
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  1. =======
  2.  
  3. RSA100:
  4. 2d:x = 74.65595038420704335515876245183644
  5. x:n = 72.65595038420704335515876245183644
  6. 2n+x:n-1 = 74.65595038420704335515876245183644
  7. There are 5424 n-1-base triangles in d(n-1) (with remainder)
  8. The sqrt of 5424 is 73 remainder 95
  9. 1 minus mantissa = 0.34404961579295664484123754816356
  10.  
  11. =======
  12.  
  13. d/e = 0.6373989480536014408413135111373245
  14. 1- = 0.3626010519463985591586864888626755
  15. d/f = 2.319519025010811280893057203486599
  16. 1- = 0.680480974989188719106942796513401
  17. e/d = 1.568876138019459013133798828702072
  18. 1- = 0.431123861980540986866201171297928
  19. e/2d = 0.7844380690097295065668994143510358
  20. 1- = 0.2155619309902704934331005856489642
  21. e/f = 3.639038050021622561786114406973198
  22. 1- = 0.360961949978377438213885593026802
  23. f/d = 0.4311238619805409868662011712979283
  24. 1- = 0.5688761380194590131337988287020717
  25. f/2d = 0.2155619309902704934331005856489642
  26. 1- = 0.7844380690097295065668994143510358
  27. f/e = 0.2747978961072028816826270222746490
  28. 1- = 0.7252021038927971183173729777253510
  29. 2d/f = 4.639038050021622561786114406973198
  30. 1- = 0.360961949978377438213885593026802
  31. 2(2d/f) = 9.278076100043245123572228813946396
  32. 1- = 0.721923899956754876427771186053604
  33. 2d/e = 1.274797896107202881682627022274649
  34. 1- = 0.725202103892797118317372977725351
  35. 2(2d/e) = 2.549595792214405763365254044549298
  36. 1- = 0.450404207785594236634745955450702
  37.  
  38.  
  39. =======
  40.  
  41. RSA110:
  42. 2d:x = 87.71828422997211118486842582700584
  43. x:n = 85.71828422997211118486842582700584
  44. 2n+x:n-1 = 87.71828422997211118486842582700584
  45. There are 7519 n-1-base triangles in d(n-1) (with remainder)
  46. The sqrt of 7519 is 86 remainder 123
  47. 1 minus mantissa = 0.28171577002788881513157417299416
  48.  
  49. =======
  50.  
  51. d/e = 0.8250585506406653401213425904031948
  52. 1- = 0.1749414493593346598786574095968052
  53. d/f = 1.269092212794492794929837354068418
  54. 1- = 0.730907787205507205070162645931582
  55. e/d = 1.212035193409596277228087329994672
  56. 1- = 0.787964806590403722771912670005328
  57. e/2d = 0.6060175967047981386140436649973359
  58. 1- = 0.3939824032952018613859563350026641
  59. e/f = 1.538184425588985589859674708136836
  60. 1- = 0.461815574411014410140325291863164
  61. f/d = 0.7879648065904037227719126700053281
  62. 1- = 0.2120351934095962772280873299946719
  63. f/2d = 0.3939824032952018613859563350026641
  64. 1- = 0.6060175967047981386140436649973359
  65. f/e = 0.6501171012813306802426851808063897
  66. 1- = 0.3498828987186693197573148191936103
  67. 2d/f = 2.538184425588985589859674708136836
  68. 1- = 0.461815574411014410140325291863164
  69. 2(2d/f) = 5.076368851177971179719349416273672
  70. 1- = 0.923631148822028820280650583726328
  71. 2d/e = 1.650117101281330680242685180806390
  72. 1- = 0.349882898718669319757314819193610
  73. 2(2d/e) = 3.300234202562661360485370361612780
  74. 1- = 0.699765797437338639514629638387220
  75.  
  76.  
  77. =======
  78.  
  79. RSA120:
  80. 2d:x = 6.393599179428234482464031290033635
  81. x:n = 4.393599179428234482464031290033635
  82. 2n+x:n-1 = 6.393599179428234482464031290033635
  83. There are 28 n-1-base triangles in d(n-1) (with remainder)
  84. The sqrt of 28 is 5 remainder 3
  85. 1 minus mantissa = 0.606400820571765517535968709966365
  86.  
  87. =======
  88.  
  89. d/e = 1.721309623347003886408763737159343
  90. 1- = 0.278690376652996113591236262840657
  91. d/f = 0.7046982969927593008102067233832824
  92. 1- = 0.2953017030072406991897932766167176
  93. e/d = 0.5809530060347585990838818387209206
  94. 1- = 0.4190469939652414009161181612790794
  95. e/2d = 0.2904765030173792995419409193604603
  96. 1- = 0.7095234969826207004580590806395397
  97. e/f = 0.4093965939855186016204134467665648
  98. 1- = 0.5906034060144813983795865532334352
  99. f/d = 1.419046993965241400916118161279079
  100. 1- = 0.580953006034758599083881838720921
  101. f/2d = 0.7095234969826207004580590806395397
  102. 1- = 0.2904765030173792995419409193604603
  103. f/e = 2.442619246694007772817527474318686
  104. 1- = 0.557380753305992227182472525681314
  105. 2d/f = 1.409396593985518601620413446766565
  106. 1- = 0.590603406014481398379586553233435
  107. 2(2d/f) = 2.818793187971037203240826893533130
  108. 1- = 0.181206812028962796759173106466870
  109. 2d/e = 3.442619246694007772817527474318686
  110. 1- = 0.557380753305992227182472525681314
  111. 2(2d/e) = 6.885238493388015545635054948637372
  112. 1- = 0.114761506611984454364945051362628
  113.  
  114.  
  115. =======
  116.  
  117. RSA129:
  118. 2d:x = 2.968998682157233147947741325309702
  119. x:n = 0.9689986821572331479477413253097020
  120. 2n+x:n-1 = 2.968998682157233147947741325309702
  121. There are 2 n-1-base triangles in d(n-1) (with remainder)
  122. The sqrt of 2 is 1 remainder 1
  123. 1 minus mantissa = 0.031001317842766852052258674690298
  124.  
  125. =======
  126.  
  127. d/e = 1.056025136113372087871188231241341
  128. 1- = 0.943974863886627912128811768758659
  129. d/f = 0.9496199609742564700812129690872040
  130. 1- = 0.0503800390257435299187870309127960
  131. e/d = 0.9469471566561675324991555190904342
  132. 1- = 0.0530528433438324675008444809095658
  133. e/2d = 0.4734735783280837662495777595452171
  134. 1- = 0.5265264216719162337504222404547829
  135. e/f = 0.8992399219485129401624259381744079
  136. 1- = 0.1007600780514870598375740618255921
  137. f/d = 1.053052843343832467500844480909566
  138. 1- = 0.946947156656167532499155519090434
  139. f/2d = 0.5265264216719162337504222404547829
  140. 1- = 0.4734735783280837662495777595452171
  141. f/e = 1.112050272226744175742376462482683
  142. 1- = 0.887949727773255824257623537517317
  143. 2d/f = 1.899239921948512940162425938174408
  144. 1- = 0.100760078051487059837574061825592
  145. 2(2d/f) = 3.798479843897025880324851876348816
  146. 1- = 0.201520156102974119675148123651184
  147. 2d/e = 2.112050272226744175742376462482683
  148. 1- = 0.887949727773255824257623537517317
  149. 2(2d/e) = 4.224100544453488351484752924965366
  150. 1- = 0.775899455546511648515247075034634
  151.  
  152.  
  153. =======
  154.  
  155. RSA130:
  156. 2d:x = 30.10833514070698491634062416635868
  157. x:n = 28.10833514070698491634062416635868
  158. 2n+x:n-1 = 30.10833514070698491634062416635868
  159. There are 846 n-1-base triangles in d(n-1) (with remainder)
  160. The sqrt of 846 is 29 remainder 5
  161. 1 minus mantissa = 0.89166485929301508365937583364132
  162.  
  163. =======
  164.  
  165. d/e = 1.285798967989270995650524839665065
  166. 1- = 0.714201032010729004349475160334935
  167. d/f = 0.8181475290553110095494668641120798
  168. 1- = 0.1818524709446889904505331358879202
  169. e/d = 0.7777265536025412578930487923545170
  170. 1- = 0.2222734463974587421069512076454830
  171. e/2d = 0.3888632768012706289465243961772585
  172. 1- = 0.6111367231987293710534756038227415
  173. e/f = 0.6362950581106220190989337282241596
  174. 1- = 0.3637049418893779809010662717758404
  175. f/d = 1.222273446397458742106951207645483
  176. 1- = 0.777726553602541257893048792354517
  177. f/2d = 0.6111367231987293710534756038227415
  178. 1- = 0.3888632768012706289465243961772585
  179. f/e = 1.571597935978541991301049679330130
  180. 1- = 0.428402064021458008698950320669870
  181. 2d/f = 1.636295058110622019098933728224160
  182. 1- = 0.363704941889377980901066271775840
  183. 2(2d/f) = 3.272590116221244038197867456448320
  184. 1- = 0.727409883778755961802132543551680
  185. 2d/e = 2.571597935978541991301049679330130
  186. 1- = 0.428402064021458008698950320669870
  187. 2(2d/e) = 5.143195871957083982602099358660260
  188. 1- = 0.856804128042916017397900641339740
  189.  
  190.  
  191. =======
  192.  
  193. RSA140:
  194. 2d:x = 7.592672210391104757863218211120029
  195. x:n = 5.592672210391104757863218211120029
  196. 2n+x:n-1 = 7.592672210391104757863218211120029
  197. There are 42 n-1-base triangles in d(n-1) (with remainder)
  198. The sqrt of 42 is 6 remainder 6
  199. 1 minus mantissa = 0.407327789608895242136781788879971
  200.  
  201. =======
  202.  
  203. d/e = 0.6391984713591626818883095633770757
  204. 1- = 0.3608015286408373181116904366229243
  205. d/f = 2.295996734439310013657630684090929
  206. 1- = 0.704003265560689986342369315909071
  207. e/d = 1.564459310851675360483419737159041
  208. 1- = 0.435540689148324639516580262840959
  209. e/2d = 0.7822296554258376802417098685795205
  210. 1- = 0.2177703445741623197582901314204795
  211. e/f = 3.591993468878620027315261368181859
  212. 1- = 0.408006531121379972684738631818141
  213. f/d = 0.4355406891483246395165802628409589
  214. 1- = 0.5644593108516753604834197371590411
  215. f/2d = 0.2177703445741623197582901314204795
  216. 1- = 0.7822296554258376802417098685795205
  217. f/e = 0.2783969427183253637766191267541515
  218. 1- = 0.7216030572816746362233808732458485
  219. 2d/f = 4.591993468878620027315261368181859
  220. 1- = 0.408006531121379972684738631818141
  221. 2(2d/f) = 9.183986937757240054630522736363718
  222. 1- = 0.816013062242759945369477263636282
  223. 2d/e = 1.278396942718325363776619126754151
  224. 1- = 0.721603057281674636223380873245849
  225. 2(2d/e) = 2.556793885436650727553238253508302
  226. 1- = 0.443206114563349272446761746491698
  227.  
  228.  
  229. =======
  230.  
  231. RSA150:
  232. 2d:x = 17.19542052635704850967127246023011
  233. x:n = 15.19542052635704850967127246023011
  234. 2n+x:n-1 = 17.19542052635704850967127246023011
  235. There are 261 n-1-base triangles in d(n-1) (with remainder)
  236. The sqrt of 261 is 16 remainder 5
  237. 1 minus mantissa = 0.80457947364295149032872753976989
  238.  
  239. =======
  240.  
  241. d/e = 0.9697989841155734208501160636922395
  242. 1- = 0.0302010158844265791498839363077605
  243. d/f = 1.032142487431387191650173279596165
  244. 1- = 0.967857512568612808349826720403835
  245. e/d = 1.031141521468976345084763471518156
  246. 1- = 0.968858478531023654915236528481844
  247. e/2d = 0.5155707607344881725423817357590780
  248. 1- = 0.4844292392655118274576182642409220
  249. e/f = 1.064284974862774383300346559192329
  250. 1- = 0.935715025137225616699653440807671
  251. f/d = 0.9688584785310236549152365284818440
  252. 1- = 0.0311415214689763450847634715181560
  253. f/2d = 0.4844292392655118274576182642409220
  254. 1- = 0.5155707607344881725423817357590780
  255. f/e = 0.9395979682311468417002321273844791
  256. 1- = 0.0604020317688531582997678726155209
  257. 2d/f = 2.064284974862774383300346559192329
  258. 1- = 0.935715025137225616699653440807671
  259. 2(2d/f) = 4.128569949725548766600693118384658
  260. 1- = 0.871430050274451233399306881615342
  261. 2d/e = 1.939597968231146841700232127384479
  262. 1- = 0.060402031768853158299767872615521
  263. 2(2d/e) = 3.879195936462293683400464254768958
  264. 1- = 0.120804063537706316599535745231042
  265.  
  266.  
  267. =======
  268.  
  269. RSA155:
  270. 2d:x = 106.5649947783911171395756696228569
  271. x:n = 104.5649947783911171395756696228569
  272. 2n+x:n-1 = 106.5649947783911171395756696228569
  273. There are 11142 n-1-base triangles in d(n-1) (with remainder)
  274. The sqrt of 11142 is 105 remainder 117
  275. 1 minus mantissa = 0.4350052216088828604243303771431
  276.  
  277. =======
  278.  
  279. d/e = 1.907348950198242870095430484140659
  280. 1- = 0.092651049801757129904569515859341
  281. d/f = 0.6776389572499303341037163040300827
  282. 1- = 0.3223610427500696658962836959699173
  283. e/d = 0.5242879127576858232567112056216641
  284. 1- = 0.4757120872423141767432887943783359
  285. e/2d = 0.2621439563788429116283556028108320
  286. 1- = 0.7378560436211570883716443971891680
  287. e/f = 0.3552779144998606682074326080601654
  288. 1- = 0.6447220855001393317925673919398346
  289. f/d = 1.475712087242314176743288794378336
  290. 1- = 0.524287912757685823256711205621664
  291. f/2d = 0.7378560436211570883716443971891680
  292. 1- = 0.2621439563788429116283556028108320
  293. f/e = 2.814697900396485740190860968281319
  294. 1- = 0.185302099603514259809139031718681
  295. 2d/f = 1.355277914499860668207432608060165
  296. 1- = 0.644722085500139331792567391939835
  297. 2(2d/f) = 2.710555828999721336414865216120330
  298. 1- = 0.289444171000278663585134783879670
  299. 2d/e = 3.814697900396485740190860968281319
  300. 1- = 0.185302099603514259809139031718681
  301. 2(2d/e) = 7.629395800792971480381721936562638
  302. 1- = 0.370604199207028519618278063437362
  303.  
  304.  
  305. =======
  306.  
  307. RSA160:
  308. 2d:x = 95.69007204442871152317997558207965
  309. x:n = 93.69007204442871152317997558207965
  310. 2n+x:n-1 = 95.69007204442871152317997558207965
  311. There are 8965 n-1-base triangles in d(n-1) (with remainder)
  312. The sqrt of 8965 is 94 remainder 129
  313. 1 minus mantissa = 0.30992795557128847682002441792035
  314.  
  315. =======
  316.  
  317. d/e = 1.218032220977864054821630306605744
  318. 1- = 0.781967779022135945178369693394256
  319. d/f = 0.8481737903899818946100161430079616
  320. 1- = 0.1518262096100181053899838569920384
  321. e/d = 0.8209963437561423344785457249753473
  322. 1- = 0.1790036562438576655214542750246527
  323. e/2d = 0.4104981718780711672392728624876736
  324. 1- = 0.5895018281219288327607271375123264
  325. e/f = 0.6963475807799637892200322860159232
  326. 1- = 0.3036524192200362107799677139840768
  327. f/d = 1.179003656243857665521454275024653
  328. 1- = 0.820996343756142334478545724975347
  329. f/2d = 0.5895018281219288327607271375123264
  330. 1- = 0.4104981718780711672392728624876736
  331. f/e = 1.436064441955728109643260613211487
  332. 1- = 0.563935558044271890356739386788513
  333. 2d/f = 1.696347580779963789220032286015923
  334. 1- = 0.303652419220036210779967713984077
  335. 2(2d/f) = 3.392695161559927578440064572031846
  336. 1- = 0.607304838440072421559935427968154
  337. 2d/e = 2.436064441955728109643260613211487
  338. 1- = 0.563935558044271890356739386788513
  339. 2(2d/e) = 4.872128883911456219286521226422974
  340. 1- = 0.127871116088543780713478773577026
  341.  
  342.  
  343. =======
  344.  
  345. RSA170:
  346. 2d:x = 6.722902585817816466561975665603805
  347. x:n = 4.722902585817816466561975665603805
  348. 2n+x:n-1 = 6.722902585817816466561975665603805
  349. There are 31 n-1-base triangles in d(n-1) (with remainder)
  350. The sqrt of 31 is 5 remainder 6
  351. 1 minus mantissa = 0.277097414182183533438024334396195
  352.  
  353. =======
  354.  
  355. d/e = 0.5725550962102227559130487988028978
  356. 1- = 0.4274449037897772440869512011971022
  357. d/f = 3.945657342602708671297553171284495
  358. 1- = 0.054342657397291328702446828715505
  359. e/d = 1.746556805832418990327556560482882
  360. 1- = 0.253443194167581009672443439517118
  361. e/2d = 0.8732784029162094951637782802414412
  362. 1- = 0.1267215970837905048362217197585588
  363. e/f = 6.891314685205417342595106342568990
  364. 1- = 0.108685314794582657404893657431010
  365. f/d = 0.2534431941675810096724434395171175
  366. 1- = 0.7465568058324189903275565604828825
  367. f/2d = 0.1267215970837905048362217197585588
  368. 1- = 0.8732784029162094951637782802414412
  369. f/e = 0.1451101924204455118260975976057956
  370. 1- = 0.8548898075795544881739024023942044
  371. 2d/f = 7.891314685205417342595106342568990
  372. 1- = 0.108685314794582657404893657431010
  373. 2(2d/f) = 15.782629370410834685190212685137980
  374. 1- = 0.217370629589165314809787314862020
  375. 2d/e = 1.145110192420445511826097597605796
  376. 1- = 0.854889807579554488173902402394204
  377. 2(2d/e) = 2.290220384840891023652195195211592
  378. 1- = 0.709779615159108976347804804788408
  379.  
  380.  
  381. =======
  382.  
  383. RSA576:
  384. 2d:x = 24.27380732382727994219616565677995
  385. x:n = 22.27380732382727994219616565677995
  386. 2n+x:n-1 = 24.27380732382727994219616565677995
  387. There are 540 n-1-base triangles in d(n-1) (with remainder)
  388. The sqrt of 540 is 23 remainder 11
  389. 1 minus mantissa = 0.72619267617272005780383434322005
  390.  
  391. =======
  392.  
  393. d/e = 1.234394784587381993787335329026890
  394. 1- = 0.765605215412618006212664670973110
  395. d/f = 0.8404163608548254057905504432340063
  396. 1- = 0.1595836391451745942094495567659937
  397. e/d = 0.8101135977614061756701929210434024
  398. 1- = 0.1898864022385938243298070789565976
  399. e/2d = 0.4050567988807030878350964605217012
  400. 1- = 0.5949432011192969121649035394782988
  401. e/f = 0.6808327217096508115811008864680126
  402. 1- = 0.3191672782903491884188991135319874
  403. f/d = 1.189886402238593824329807078956598
  404. 1- = 0.810113597761406175670192921043402
  405. f/2d = 0.5949432011192969121649035394782988
  406. 1- = 0.4050567988807030878350964605217012
  407. f/e = 1.468789569174763987574670658053780
  408. 1- = 0.531210430825236012425329341946220
  409. 2d/f = 1.680832721709650811581100886468013
  410. 1- = 0.319167278290349188418899113531987
  411. 2(2d/f) = 3.361665443419301623162201772936026
  412. 1- = 0.638334556580698376837798227063974
  413. 2d/e = 2.468789569174763987574670658053780
  414. 1- = 0.531210430825236012425329341946220
  415. 2(2d/e) = 4.937579138349527975149341316107560
  416. 1- = 0.062420861650472024850658683892440
  417.  
  418.  
  419. =======
  420.  
  421. RSA180:
  422. 2d:x = 24.00601596312181283444925224468292
  423. x:n = 22.00601596312181283444925224468292
  424. 2n+x:n-1 = 24.00601596312181283444925224468292
  425. There are 528 n-1-base triangles in d(n-1) (with remainder)
  426. The sqrt of 528 is 22 remainder 44
  427. 1 minus mantissa = -0.00601596312181283444925224468292
  428.  
  429. =======
  430.  
  431. d/e = 0.7874106642972113478975844045901841
  432. 1- = 0.2125893357027886521024155954098159
  433. d/f = 1.369835503881912389451500334559200
  434. 1- = 0.630164496118087610548499665440800
  435. e/d = 1.269985339724261018352655608892226
  436. 1- = 0.730014660275738981647344391107774
  437. e/2d = 0.6349926698621305091763278044461130
  438. 1- = 0.3650073301378694908236721955538870
  439. e/f = 1.739671007763824778903000669118400
  440. 1- = 0.260328992236175221096999330881600
  441. f/d = 0.7300146602757389816473443911077740
  442. 1- = 0.2699853397242610183526556088922260
  443. f/2d = 0.3650073301378694908236721955538870
  444. 1- = 0.6349926698621305091763278044461130
  445. f/e = 0.5748213285944226957951688091803682
  446. 1- = 0.4251786714055773042048311908196318
  447. 2d/f = 2.739671007763824778903000669118400
  448. 1- = 0.260328992236175221096999330881600
  449. 2(2d/f) = 5.479342015527649557806001338236800
  450. 1- = 0.520657984472350442193998661763200
  451. 2d/e = 1.574821328594422695795168809180368
  452. 1- = 0.425178671405577304204831190819632
  453. 2(2d/e) = 3.149642657188845391590337618360736
  454. 1- = 0.850357342811154608409662381639264
  455.  
  456.  
  457. =======
  458.  
  459. RSA190:
  460. 2d:x = 7.301393618066239940206543880379731
  461. x:n = 5.301393618066239940206543880379731
  462. 2n+x:n-1 = 7.301393618066239940206543880379731
  463. There are 38 n-1-base triangles in d(n-1) (with remainder)
  464. The sqrt of 38 is 6 remainder 2
  465. 1 minus mantissa = 0.698606381933760059793456119620269
  466.  
  467. =======
  468.  
  469. d/e = 3.058270641357174348955377685539593
  470. 1- = 0.941729358642825651044622314460407
  471. d/f = 0.5977222643916102048710026757583028
  472. 1- = 0.4022777356083897951289973242416972
  473. e/d = 0.3269821795615276787058889166349901
  474. 1- = 0.6730178204384723212941110833650099
  475. e/2d = 0.1634910897807638393529444583174951
  476. 1- = 0.8365089102192361606470555416825049
  477. e/f = 0.1954445287832204097420053515166056
  478. 1- = 0.8045554712167795902579946484833944
  479. f/d = 1.673017820438472321294111083365010
  480. 1- = 0.326982179561527678705888916634990
  481. f/2d = 0.8365089102192361606470555416825049
  482. 1- = 0.1634910897807638393529444583174951
  483. f/e = 5.116541282714348697910755371079185
  484. 1- = 0.883458717285651302089244628920815
  485. 2d/f = 1.195444528783220409742005351516606
  486. 1- = 0.804555471216779590257994648483394
  487. 2(2d/f) = 2.390889057566440819484010703033212
  488. 1- = 0.609110942433559180515989296966788
  489. 2d/e = 6.116541282714348697910755371079185
  490. 1- = 0.883458717285651302089244628920815
  491. 2(2d/e) = 12.233082565428697395821510742158370
  492. 1- = 0.766917434571302604178489257841630
  493.  
  494.  
  495. =======
  496.  
  497. RSA640:
  498. 2d:x = 27.53205750858878507762153939647767
  499. x:n = 25.53205750858878507762153939647767
  500. 2n+x:n-1 = 27.53205750858878507762153939647767
  501. There are 702 n-1-base triangles in d(n-1) (with remainder)
  502. The sqrt of 702 is 26 remainder 26
  503. 1 minus mantissa = 0.46794249141121492237846060352233
  504.  
  505. =======
  506.  
  507. d/e = 2.274155514986659982366025191522225
  508. 1- = 0.725844485013340017633974808477775
  509. d/f = 0.6409121116430877087199198639347804
  510. 1- = 0.3590878883569122912800801360652196
  511. e/d = 0.4397236659542458429708162186410098
  512. 1- = 0.5602763340457541570291837813589902
  513. e/2d = 0.2198618329771229214854081093205049
  514. 1- = 0.7801381670228770785145918906794951
  515. e/f = 0.2818242232861754174398397278695608
  516. 1- = 0.7181757767138245825601602721304392
  517. f/d = 1.560276334045754157029183781358990
  518. 1- = 0.439723665954245842970816218641010
  519. f/2d = 0.7801381670228770785145918906794951
  520. 1- = 0.2198618329771229214854081093205049
  521. f/e = 3.548311029973319964732050383044449
  522. 1- = 0.451688970026680035267949616955551
  523. 2d/f = 1.281824223286175417439839727869561
  524. 1- = 0.718175776713824582560160272130439
  525. 2(2d/f) = 2.563648446572350834879679455739122
  526. 1- = 0.436351553427649165120320544260878
  527. 2d/e = 4.548311029973319964732050383044449
  528. 1- = 0.451688970026680035267949616955551
  529. 2(2d/e) = 9.096622059946639929464100766088898
  530. 1- = 0.903377940053360070535899233911102
  531.  
  532.  
  533. =======
  534.  
  535. RSA200:
  536. 2d:x = 6.016817848969399227174763962472299
  537. x:n = 4.016817848969399227174763962472299
  538. 2n+x:n-1 = 6.016817848969399227174763962472299
  539. There are 24 n-1-base triangles in d(n-1) (with remainder)
  540. The sqrt of 24 is 4 remainder 8
  541. 1 minus mantissa = -0.016817848969399227174763962472299
  542.  
  543. =======
  544.  
  545. d/e = 1.788998886259271433667693223943876
  546. 1- = 0.211001113740728566332306776056124
  547. d/f = 0.6939489650960913039618957553834327
  548. 1- = 0.3060510349039086960381042446165673
  549. e/d = 0.5589718404414224825564722739301867
  550. 1- = 0.4410281595585775174435277260698133
  551. e/2d = 0.2794859202207112412782361369650934
  552. 1- = 0.7205140797792887587217638630349066
  553. e/f = 0.3878979301921826079237915107668655
  554. 1- = 0.6121020698078173920762084892331345
  555. f/d = 1.441028159558577517443527726069813
  556. 1- = 0.558971840441422482556472273930187
  557. f/2d = 0.7205140797792887587217638630349066
  558. 1- = 0.2794859202207112412782361369650934
  559. f/e = 2.577997772518542867335386447887751
  560. 1- = 0.422002227481457132664613552112249
  561. 2d/f = 1.387897930192182607923791510766865
  562. 1- = 0.612102069807817392076208489233135
  563. 2(2d/f) = 2.775795860384365215847583021533730
  564. 1- = 0.224204139615634784152416978466270
  565. 2d/e = 3.577997772518542867335386447887751
  566. 1- = 0.422002227481457132664613552112249
  567. 2(2d/e) = 7.155995545037085734670772895775502
  568. 1- = 0.844004454962914265329227104224498
  569.  
  570.  
  571. =======
  572.  
  573. RSA210:
  574. 2d:x = 16.71211070312445737386664845755151
  575. x:n = 14.71211070312445737386664845755151
  576. 2n+x:n-1 = 16.71211070312445737386664845755151
  577. There are 245 n-1-base triangles in d(n-1) (with remainder)
  578. The sqrt of 245 is 15 remainder 20
  579. 1 minus mantissa = 0.28788929687554262613335154244849
  580.  
  581. =======
  582.  
  583. d/e = 2.603818370920805460278829338288300
  584. 1- = 0.396181629079194539721170661711700
  585. d/f = 0.6188315509815513489421548476619397
  586. 1- = 0.3811684490184486510578451523380603
  587. e/d = 0.3840513651673651130767433682584713
  588. 1- = 0.6159486348326348869232566317415287
  589. e/2d = 0.1920256825836825565383716841292356
  590. 1- = 0.8079743174163174434616283158707644
  591. e/f = 0.2376631019631026978843096953238793
  592. 1- = 0.7623368980368973021156903046761207
  593. f/d = 1.615948634832634886923256631741529
  594. 1- = 0.384051365167365113076743368258471
  595. f/2d = 0.8079743174163174434616283158707644
  596. 1- = 0.1920256825836825565383716841292356
  597. f/e = 4.207636741841610920557658676576601
  598. 1- = 0.792363258158389079442341323423399
  599. 2d/f = 1.237663101963102697884309695323879
  600. 1- = 0.762336898036897302115690304676121
  601. 2(2d/f) = 2.475326203926205395768619390647758
  602. 1- = 0.524673796073794604231380609352242
  603. 2d/e = 5.207636741841610920557658676576601
  604. 1- = 0.792363258158389079442341323423399
  605. 2(2d/e) = 10.415273483683221841115317353153202
  606. 1- = 0.584726516316778158884682646846798
  607.  
  608.  
  609. =======
  610.  
  611. RSA704:
  612. 2d:x = 37.35819303042291323005855588778036
  613. x:n = 35.35819303042291323005855588778036
  614. 2n+x:n-1 = 37.35819303042291323005855588778036
  615. There are 1320 n-1-base triangles in d(n-1) (with remainder)
  616. The sqrt of 1320 is 36 remainder 24
  617. 1 minus mantissa = 0.64180696957708676994144411221964
  618.  
  619. =======
  620.  
  621. d/e = 0.5516753663775525634337986633659519
  622. 1- = 0.4483246336224474365662013366340481
  623. d/f = 5.337895065386480599665404424560047
  624. 1- = 0.662104934613519400334595575439953
  625. e/d = 1.812660236338385791066710638009127
  626. 1- = 0.187339763661614208933289361990873
  627. e/2d = 0.9063301181691928955333553190045635
  628. 1- = 0.0936698818308071044666446809954365
  629. e/f = 9.675790130772961199330808849120094
  630. 1- = 0.324209869227038800669191150879906
  631. f/d = 0.1873397636616142089332893619908730
  632. 1- = 0.8126602363383857910667106380091270
  633. f/2d = 0.09366988183080710446664468099543650
  634. 1- = 0.90633011816919289553335531900456350
  635. f/e = 0.1033507327551051268675973267319038
  636. 1- = 0.8966492672448948731324026732680962
  637. 2d/f = 10.67579013077296119933080884912009
  638. 1- = 0.32420986922703880066919115087991
  639. 2(2d/f) = 21.35158026154592239866161769824018
  640. 1- = 0.64841973845407760133838230175982
  641. 2d/e = 1.103350732755105126867597326731904
  642. 1- = 0.896649267244894873132402673268096
  643. 2(2d/e) = 2.206701465510210253735194653463808
  644. 1- = 0.793298534489789746264805346536192
  645.  
  646.  
  647. =======
  648.  
  649. RSA220:
  650. 2d:x = 6.507177023210027255145074503885760
  651. x:n = 4.507177023210027255145074503885760
  652. 2n+x:n-1 = 6.507177023210027255145074503885760
  653. There are 29 n-1-base triangles in d(n-1) (with remainder)
  654. The sqrt of 29 is 5 remainder 4
  655. 1 minus mantissa = 0.492822976789972744854925496114240
  656.  
  657. =======
  658.  
  659. d/e = 0.7088489419415996604892592896392827
  660. 1- = 0.2911510580584003395107407103607173
  661. d/f = 1.697037426552572107919673148213885
  662. 1- = 0.302962573447427892080326851786115
  663. e/d = 1.410737804391598523027923586636903
  664. 1- = 0.589262195608401476972076413363097
  665. e/2d = 0.7053689021957992615139617933184513
  666. 1- = 0.2946310978042007384860382066815487
  667. e/f = 2.394074853105144215839346296427771
  668. 1- = 0.605925146894855784160653703572229
  669. f/d = 0.5892621956084014769720764133630974
  670. 1- = 0.4107378043915985230279235866369026
  671. f/2d = 0.2946310978042007384860382066815487
  672. 1- = 0.7053689021957992615139617933184513
  673. f/e = 0.4176978838831993209785185792785653
  674. 1- = 0.5823021161168006790214814207214347
  675. 2d/f = 3.394074853105144215839346296427771
  676. 1- = 0.605925146894855784160653703572229
  677. 2(2d/f) = 6.788149706210288431678692592855542
  678. 1- = 0.211850293789711568321307407144458
  679. 2d/e = 1.417697883883199320978518579278565
  680. 1- = 0.582302116116800679021481420721435
  681. 2(2d/e) = 2.835395767766398641957037158557130
  682. 1- = 0.164604232233601358042962841442870
  683.  
  684.  
  685. =======
  686.  
  687. RSA230:
  688. 2d:x = 31.29472270900031331157989221961913
  689. x:n = 29.29472270900031331157989221961913
  690. 2n+x:n-1 = 31.29472270900031331157989221961913
  691. There are 916 n-1-base triangles in d(n-1) (with remainder)
  692. The sqrt of 916 is 30 remainder 16
  693. 1 minus mantissa = 0.70527729099968668842010778038087
  694.  
  695. =======
  696.  
  697. d/e = 7.353863512356568628445509040857398
  698. 1- = 0.646136487643431371554490959142602
  699. d/f = 0.5364757774282030205201060315265764
  700. 1- = 0.4635242225717969794798939684734236
  701. e/d = 0.1359829426150917048268100068020826
  702. 1- = 0.8640170573849082951731899931979174
  703. e/2d = 0.06799147130754585241340500340104132
  704. 1- = 0.93200852869245414758659499659895868
  705. e/f = 0.07295155485640604104021206305315270
  706. 1- = 0.92704844514359395895978793694684730
  707. f/d = 1.864017057384908295173189993197917
  708. 1- = 0.135982942615091704826810006802083
  709. f/2d = 0.9320085286924541475865949965989587
  710. 1- = 0.0679914713075458524134050034010413
  711. f/e = 13.70772702471313725689101808171480
  712. 1- = 0.29227297528686274310898191828520
  713. 2d/f = 1.072951554856406041040212063053153
  714. 1- = 0.927048445143593958959787936946847
  715. 2(2d/f) = 2.145903109712812082080424126106306
  716. 1- = 0.854096890287187917919575873893694
  717. 2d/e = 14.70772702471313725689101808171480
  718. 1- = 0.29227297528686274310898191828520
  719. 2(2d/e) = 29.41545404942627451378203616342960
  720. 1- = 0.58454595057372548621796383657040
  721.  
  722.  
  723. =======
  724.  
  725. RSA232:
  726. 2d:x = 30.12852470057733793140249034281414
  727. x:n = 28.12852470057733793140249034281414
  728. 2n+x:n-1 = 30.12852470057733793140249034281414
  729. There are 847 n-1-base triangles in d(n-1) (with remainder)
  730. The sqrt of 847 is 29 remainder 6
  731. 1 minus mantissa = 0.87147529942266206859750965718586
  732.  
  733. =======
  734.  
  735. d/e = 0.9863902579927104833725295486409785
  736. 1- = 0.0136097420072895166274704513590215
  737. d/f = 1.013990557770889281909165436108468
  738. 1- = 0.986009442229110718090834563891532
  739. e/d = 1.013797522732011911150528976244041
  740. 1- = 0.986202477267988088849471023755959
  741. e/2d = 0.5068987613660059555752644881220206
  742. 1- = 0.4931012386339940444247355118779794
  743. e/f = 1.027981115541778563818330872216937
  744. 1- = 0.972018884458221436181669127783063
  745. f/d = 0.9862024772679880888494710237559588
  746. 1- = 0.0137975227320119111505289762440412
  747. f/2d = 0.4931012386339940444247355118779794
  748. 1- = 0.5068987613660059555752644881220206
  749. f/e = 0.9727805159854209667450590972819571
  750. 1- = 0.0272194840145790332549409027180429
  751. 2d/f = 2.027981115541778563818330872216937
  752. 1- = 0.972018884458221436181669127783063
  753. 2(2d/f) = 4.055962231083557127636661744433874
  754. 1- = 0.944037768916442872363338255566126
  755. 2d/e = 1.972780515985420966745059097281957
  756. 1- = 0.027219484014579033254940902718043
  757. 2(2d/e) = 3.945561031970841933490118194563914
  758. 1- = 0.054438968029158066509881805436086
  759.  
  760.  
  761. =======
  762.  
  763. RSA768:
  764. 2d:x = 43.95390266612161886980472722768841
  765. x:n = 41.95390266612161886980472722768841
  766. 2n+x:n-1 = 43.95390266612161886980472722768841
  767. There are 1844 n-1-base triangles in d(n-1) (with remainder)
  768. The sqrt of 1844 is 42 remainder 80
  769. 1 minus mantissa = 0.04609733387838113019527277231159
  770.  
  771. =======
  772.  
  773. d/e = 0.7618931738750801038029548062111626
  774. 1- = 0.2381068261249198961970451937888374
  775. d/f = 1.454587690472784125350427423613854
  776. 1- = 0.545412309527215874649572576386146
  777. e/d = 1.312519962495371900354460333615247
  778. 1- = 0.687480037504628099645539666384753
  779. e/2d = 0.6562599812476859501772301668076237
  780. 1- = 0.3437400187523140498227698331923763
  781. e/f = 1.909175380945568250700854847227709
  782. 1- = 0.090824619054431749299145152772291
  783. f/d = 0.6874800375046280996455396663847526
  784. 1- = 0.3125199624953719003544603336152474
  785. f/2d = 0.3437400187523140498227698331923763
  786. 1- = 0.6562599812476859501772301668076237
  787. f/e = 0.5237863477501602076059096124223252
  788. 1- = 0.4762136522498397923940903875776748
  789. 2d/f = 2.909175380945568250700854847227709
  790. 1- = 0.090824619054431749299145152772291
  791. 2(2d/f) = 5.818350761891136501401709694455418
  792. 1- = 0.181649238108863498598290305544582
  793. 2d/e = 1.523786347750160207605909612422325
  794. 1- = 0.476213652249839792394090387577675
  795. 2(2d/e) = 3.047572695500320415211819224844650
  796. 1- = 0.952427304499679584788180775155350
  797.  
  798.  
  799. =======
  800.  
  801. RSA240:
  802. 2d:x = 6.513699437555326692057635325994532
  803. x:n = 4.513699437555326692057635325994532
  804. 2n+x:n-1 = 6.513699437555326692057635325994532
  805. There are 29 n-1-base triangles in d(n-1) (with remainder)
  806. The sqrt of 29 is 5 remainder 4
  807. 1 minus mantissa = 0.486300562444673307942364674005468
  808.  
  809. =======
  810.  
  811. d/e = 0.7055869991729713985211452235062590
  812. 1- = 0.2944130008270286014788547764937410
  813. d/f = 1.716030201353644718691137903802326
  814. 1- = 0.283969798646355281308862096197674
  815. e/d = 1.417259673395505140571840326186331
  816. 1- = 0.582740326604494859428159673813669
  817. e/2d = 0.7086298366977525702859201630931653
  818. 1- = 0.2913701633022474297140798369068347
  819. e/f = 2.432060402707289437382275807604651
  820. 1- = 0.567939597292710562617724192395349
  821. f/d = 0.5827403266044948594281596738136695
  822. 1- = 0.4172596733955051405718403261863305
  823. f/2d = 0.2913701633022474297140798369068347
  824. 1- = 0.7086298366977525702859201630931653
  825. f/e = 0.4111739983459427970422904470125181
  826. 1- = 0.5888260016540572029577095529874819
  827. 2d/f = 3.432060402707289437382275807604651
  828. 1- = 0.567939597292710562617724192395349
  829. 2(2d/f) = 6.864120805414578874764551615209302
  830. 1- = 0.135879194585421125235448384790698
  831. 2d/e = 1.411173998345942797042290447012518
  832. 1- = 0.588826001654057202957709552987482
  833. 2(2d/e) = 2.822347996691885594084580894025036
  834. 1- = 0.177652003308114405915419105974964
  835.  
  836.  
  837. =======
  838.  
  839. RSA250:
  840. 2d:x = 7.177322922093026994658899138985152
  841. x:n = 5.177322922093026994658899138985152
  842. 2n+x:n-1 = 7.177322922093026994658899138985152
  843. There are 37 n-1-base triangles in d(n-1) (with remainder)
  844. The sqrt of 37 is 6 remainder 1
  845. 1 minus mantissa = 0.822677077906973005341100861014848
  846.  
  847. =======
  848.  
  849. d/e = 1.565201919857580945586117486458003
  850. 1- = 0.434798080142419054413882513541997
  851. d/f = 0.7346972863449451589373320975723234
  852. 1- = 0.2653027136550548410626679024276766
  853. e/d = 0.6388952040711723959764762327002431
  854. 1- = 0.3611047959288276040235237672997569
  855. e/2d = 0.3194476020355861979882381163501215
  856. 1- = 0.6805523979644138020117618836498785
  857. e/f = 0.4693945726898903178746641951446468
  858. 1- = 0.5306054273101096821253358048553532
  859. f/d = 1.361104795928827604023523767299757
  860. 1- = 0.638895204071172395976476232700243
  861. f/2d = 0.6805523979644138020117618836498785
  862. 1- = 0.3194476020355861979882381163501215
  863. f/e = 2.130403839715161891172234972916006
  864. 1- = 0.869596160284838108827765027083994
  865. 2d/f = 1.469394572689890317874664195144647
  866. 1- = 0.530605427310109682125335804855353
  867. 2(2d/f) = 2.938789145379780635749328390289294
  868. 1- = 0.061210854620219364250671609710706
  869. 2d/e = 3.130403839715161891172234972916006
  870. 1- = 0.869596160284838108827765027083994
  871. 2(2d/e) = 6.260807679430323782344469945832012
  872. 1- = 0.739192320569676217655530054167988
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