Riesel numbers (n = 1 to 100)


Rn = n.2n-1


  n : Rn (alen) = factors

  1 : 1 (1) = unit
  2 : 7 (1) = prime
  3 : 23 (2) = prime
  4 : 63 (2) = 3 * 3 * 7
  5 : 159 (3) = 3 * 53

  6 : 383 (3) = prime
  7 : 895 (3) = 5 * 179
  8 : 2047 (4) = 23 * 89
  9 : 4607 (4) = 17 * 271
 10 : 10239 (5) = 3 * 3413

 11 : 22527 (5) = 3 * 3 * 2503
 12 : 49151 (5) = 23 * 2137
 13 : 106495 (6) = 5 * 19 * 19 * 59
 14 : 229375 (6) = 5 * 5 * 5 * 5 * 367
 15 : 491519 (6) = 7 * 7 * 7 * 1433

 16 : 1048575 (7) = 3 * 5 * 5 * 11 * 31 * 41
 17 : 2228223 (7) = 3 * 47 * 15803
 18 : 4718591 (7) = 79 * 59729
 19 : 9961471 (7) = 13 * 29 * 26423
 20 : 20971519 (8) = 1879 * 11161

 21 : 44040191 (8) = 13 * 41 * 53 * 1559
 22 : 92274687 (8) = 3 * 3 * 3 * 271 * 12611
 23 : 192937983 (9) = 3 * 7 * 9187523
 24 : 402653183 (9) = 47 * 67 * 127867
 25 : 838860799 (9) = 7 * 119837257

 26 : 1744830463 (10) = 229 * 661 * 11527
 27 : 3623878655 (10) = 5 * 307 * 2360833
 28 : 7516192767 (10) = 3 * 19 * 2999 * 43969
 29 : 15569256447 (11) = 3 * 3 * 733 * 1009 * 2339
 30 : 32212254719 (11) = prime

 31 : 66571993087 (11) = 263 * 983 * 257503
 32 : 137438953471 (12) = 223 * 616318177
 33 : 283467841535 (12) = 5 * 217561 * 260587
 34 : 584115552255 (12) = 3 * 5 * 29 * 10501 * 127873
 35 : 1202590842879 (13) = 3 * 587 * 682902239

 36 : 2473901162495 (13) = 5 * 7 * 71 * 22153 * 44939
 37 : 5085241278463 (13) = 73 * 69660839431
 38 : 10445360463871 (14) = 17 * 518239 * 1185617
 39 : 21440476741631 (14) = 1217 * 17617482943
 40 : 43980465111039 (14) = 3 * 3 * 79 * 1747 * 35407667

 41 : 90159953477631 (14) = 3 * 19 * 4517 * 350177899
 42 : 184717953466367 (15) = 6709 * 161123 * 170881
 43 : 378231999954943 (15) = 29 * 191 * 773 * 883 * 100043
 44 : 774056185954303 (15) = 7 * 53 * 2086404813893
 45 : 1583296743997439 (16) = 71 * 89 * 412397 * 607573

 46 : 3236962232172543 (16) = 3 * 7 * 7 * 18251 * 1206517519
 47 : 6614661952700415 (16) = 3 * 3 * 3 * 3 * 5 * 3555949 * 4593007
 48 : 13510798882111487 (17) = 11 * 1439 * 8963 * 95230081
 49 : 27584547717644287 (17) = 97 * 271 * 281 * 3734380121
 50 : 56294995342131199 (17) = 47 * 30503527 * 39266471

 51 : 114841790497947647 (18) = 228713 * 257489 * 1950071
 52 : 234187180623265791 (18) = 3 * 103 * 18954679 * 39984181
 53 : 477381560501272575 (18) = 3 * 5 * 5 * 40703633 * 156376397
 54 : 972777519512027135 (18) = 5 * 39014093 * 4986800639
 55 : 1981583836043018239 (19) = 37 * 1609 * 4983497 * 6679139

 56 : 4035225266123964415 (19) = 5 * 941 * 857646177709663
 57 : 8214565720323784703 (19) = 7 * 113 * 197 * 52715933184389
 58 : 16717361816799281151 (20) = 3 * 3 * 1857484646311031239
 59 : 34011184385901985791 (20) = 3 * 23 * 1151 * 589481 * 726486469
 60 : 69175290276410818559 (20) = 9377 * 22259 * 331422069413

 61 : 140656423562035331071 (21) = 11 * 5908739 * 2164073856799
 62 : 285924533142498050047 (21) = 13 * 23 * 37 * 25845117340910969
 63 : 581072438321850875903 (21) = 479 * 71843 * 16885359197099
 64 : 1180591620717411303423 (22) = 3 * 11 * 31 * 43 * 71 * 127 * 281 * 86171 * 122921
 65 : 2398076729582241710079 (22) = 3 * 3 * 7 * 11 * 59 * 58651325105345017

 66 : 4869940435459321626623 (22) = 41 * 1097 * 2973611 * 36412375309
 67 : 9887454823508319666175 (22) = 5 * 5 * 7 * 56499741848618969521
 68 : 20070057552195992158207 (23) = 13 * 101 * 101 * 863 * 151631 * 1156548163
 69 : 40730410914750689968127 (23) = 137 * 1583 * 41866553 * 4485905329
 70 : 82641413450218791239679 (23) = 3 * 37045301 * 743606802296993

 71 : 167644010141872405086207 (24) = 3 * 1332789373 * 41928107956153
 72 : 340010386766614455386111 (24) = 434445574513 * 782630568047
 73 : 689465506498968201199615 (24) = 5 * 11 * 11 * 773 * 1474272195907258831
 74 : 1397820478929414983254015 (25) = 5 * 370423 * 4014713 * 187987488397
 75 : 2833419889721787128217599 (25) = prime

 76 : 5742397643169488579854335 (25) = 3 * 3 * 3 * 5 * 59 * 151 * 9043 * 1983649 * 266166367
 77 : 11635911013790805806546943 (26) = 3 * 457007371 * 8487033800154911
 78 : 23574053482485268906770431 (26) = 7 * 59 * 137 * 416642574052867020851
 79 : 47752569874777852400893951 (26) = 11 * 53 * 28319 * 507919 * 5694502939577
 80 : 96714065569170333976494079 (26) = 131 * 738275309688323160125909

 81 : 195845982777569926302400511 (27) = prime
 82 : 396527668833598369303625727 (27) = 3 * 13 * 571 * 17806262914077792864683
 83 : 802726744224113772004900863 (27) = 3 * 3 * 17 * 421 * 12462185338737735736651
 84 : 1624796301562061610805100543 (28) = 17 * 37 * 167 * 379 * 2687 * 15188851247211937
 85 : 3288278229351791355200798719 (28) = 13 * 252944479180907027323138363

 86 : 6653927711158918977582792703 (28) = 7 * 7 * 135794443084875897501689647
 87 : 13462597927228510489527975935 (29) = 5 * 17 * 4094810539717 * 38679080140583
 88 : 27234680864278366047780732927 (29) = 3 *7 * 59 * 318743 * 68962076240777609551
 89 : 55088331748199422233011027967 (29) = 3 * 13 * 23003 * 61405961260570719575051
 90 : 111414603535684224740921180159 (30) = 13 * 8570354118129555749301629243

 91 : 225305087149939210031640608767 (30) = 61 * 103 * 1087 * 1583629493 * 20831512931639
 92 : 455561934457019941162877714431 (30) = 41 * 1682843867 * 6602672364300601573
 93 : 921027389228322924524948422655 (30) = 5 * 17 * 17 * 637389196697801331851175379
 94 : 1861861819085211933448282832895 (31) = 3 * 3 * 5 * 12445010777 * 3324601949501589203
 95 : 3763337719427556035693337640959 (31) = 3 * 853 * 2833 * 19841 * 26163315349897378417

 96 : 7605903601369376408980219232255 (31) = 5 * 191 * 436610833 * 18241180389549993917
 97 : 15370263527767281493147526365183 (32) = 193 * 79638671128327883384184074431
 98 : 31057439705591620336669228531711 (32) = 17 * 3089 * 106449127 * 254871049 * 21798981889
 99 : 62748704711297355374086808666111 (32) = 7 * 5453983 * 1643587938033998151287831
100 : 126765060022822940149670320537599 (33) = 3 * 11 * 13 * 67 * 199 * 769 * 10243 * 25373 * 2113879 * 52457663

What's new index Numbers still not completely factored

E-mail : kc2h-msm@asahi-net.or.jp
Hisanori Mishima