W1n = sigma(1/n) = the numerator of 1 + 1/2 + 1/3 + ... + 1/n
n : W1n (alen) = factors 1 : 1 (1) = unit 2 : 3 (1) = prime 3 : 11 (2) = prime 4 : 25 (2) = 5^2 5 : 137 (3) = prime 6 : 49 (3) = 7^2 7 : 363 (3) = 3 * 11^2 8 : 761 (3) = prime 9 : 7129 (4) = prime 10 : 7381 (4) = 11^2 * 61 11 : 83711 (5) = 97 * 863 12 : 86021 (5) = 13^2 * 509 13 : 1145993 (7) = 29 * 43 * 919 14 : 1171733 (7) = 1049 * 1117 15 : 1195757 (7) = 29 * 41233 16 : 2436559 (7) = 17^2 * 8431 17 : 42142223 (8) = 37 * 1138979 18 : 14274301 (8) = 19^2 * 39541 19 : 275295799 (9) = 37 * 7440427 20 : 55835135 (8) = 5 * 11167027 21 : 18858053 (8) = prime 22 : 19093197 (8) = 3 * 23^2 * 53 * 227 23 : 444316699 (9) = 761 * 583859 24 : 1347822955 (10) = 5 * 577 * 467183 25 : 34052522467 (11) = 109 * 312408463 26 : 34395742267 (11) = prime 27 : 312536252003 (12) = 521 * 2789 * 215087 28 : 315404588903 (12) = 29^2 * 375035183 29 : 9227046511387 (13) = 43^2 * 4990290163 30 : 9304682830147 (13) = 31^2 * 53 * 10273 * 17783 31 : 290774257297357 (15) = 109 * 2667653736673 32 : 586061125622639 (15) = 2917 * 374893 * 535919 33 : 53676090078349 (14) = 269 * 199539368321 34 : 54062195834749 (14) = 3583 * 15088528003 35 : 54437269998109 (14) = 397 * 137121586897 36 : 54801925434709 (14) = 37^2 * 1297 * 3407 * 9059 37 : 2040798836801833 (16) = 10839223 * 188279071 38 : 2053580969474233 (16) = 199 * 1019 * 1439 * 7037587 39 : 2066035355155033 (16) = 737281 * 2802235993 40 : 2078178381193813 (16) = 41^2 * 114407 * 10805939 41 : 85691034670497533 (17) = prime 42 : 12309312989335019 (17) = 7 * 43^2 * 951040175333 43 : 532145396070491417 (18) = 140473 * 570553 * 6639593 44 : 5884182435213075787 (19) = 109 * 2113 * 2953 * 8651605087 45 : 5914085889685464427 (19) = 1553 * 22811 * 166944396769 46 : 5943339269060627227 (19) = 47^2 * 4201 * 640445420803 47 : 280682601097106968469 (21) = 911 * 2621 * 47137 * 2493837527 48 : 282000222059796592919 (21) = 7 * 2323031 * 17341889113207 49 : 13881256687139135026631 (23) = 23982193 * 578815152022967 50 : 13943237577224054960759 (23) = 61 * 587948341 * 388771681559 51 : 14004003155738682347159 (23) = 227 * 76943 * 801783708172019 52 : 14063600165435720745359 (23) = 53^2 * 6833 * 878089 * 834439423 53 : 748469853272339196210427 (24) = 941 * 795398356293665458247 54 : 250503836021181200128409 (24) = 5953 * 9103 * 4622681325241751 55 : 251499286680120823312889 (24) = 51862596437 * 4849338520597 56 : 252476961434436524654789 (24) = prime 57 : 253437484000080020709989 (24) = 26693 * 1310999 * 7242209797127 58 : 254381445831833111660789 (24) = 59^2 * 271 * 6793 * 39696343287323 59 : 15063255090319832863132951 (26) = 302847730177 * 49738708893463 60 : 15117092380124150817026911 (26) = 61^2 * 2207 * 1840798551252069113 61 : 925372872575832277072279171 (27) = 165120491 * 5604227960876353481 62 : 928551009361054917576341971 (27) = prime 63 : 310559566510213034489743057 (27) = 347 * 809 * 47119 * 23478527213387461 64 : 623171679694215690971693339 (27) = 109 * 12106903 * 33123641 * 14256406777 65 : 625192648726870088010174299 (27) = 2473 * 3923 * 4861 * 13257017122183621 66 : 209060999005535159677640233 (27) = 67^2 * 257 * 30497 * 702257 * 8461300049 67 : 14050874595745034300902316411 (29) = 1423 * 15919 * 6883523 * 90109775361961 68 : 14094018321907827923954201611 (29) = 9509189827 * 1482147120661095193 69 : 42409610330030873613929048033 (29) = prime 70 : 42535343474848157886823113473 (29) = 71^2 * 1143656115619 * 7377985374587 71 : 3028810706851429109067025637383 (31) = 173 * 599 * 4581480301357 * 6379599021097 72 : 9112469359293533278712889630349 (31) = 73^2 * 12889 * 132669513653016905839429 73 : 667084944417653637854891458725877 (33) = 10739 * 57958370806423 * 1071768842878241 74 : 668934292077295215167676426926677 (33) = 16183 * 80913073 * 510864506825274078403 75 : 670758981768141571449624262218133 (33) = 677 * 88554317 * 89409596789 * 125136485633 76 : 672559662384108370412072783887333 (33) = 401 * 8629 * 1280280247 * 151817183380362791 77 : 61303359776139104182852056677903 (32) = 11 * 109 * 26479 * 39241 * 49206610220345621623 78 : 61462860623241058403302042280303 (32) = 79^2 * 79244112331 * 124277234919095693 79 : 4868007055309996043055960217131137 (34) = prime 80 : 4880292608058024066886120358155997 (34) = 11 * 4127 * 322512198708761 * 333328587314641 81 : 44031838385838021258243173365847173 (35) = 88493 * 2845201 * 174881933884719184571561 82 : 44139711531918267321142140457772773 (35) = 83^2 * 6407274137308501570785620620957 83 : 3672441655127796364812512959533039359 (37) = 109 * 366599 * 3313251055559 * 27738488095416011 84 : 3681181948368536301765969745576439759 (37) = 11 * 128033 * 157133 * 16634328529263507796017121 85 : 3689819414629973415931738804725211919 (37) = 97 * 8887 * 4280339305565030602944575366921 86 : 3698356445237207772956045432953649519 (37) = 183725501 * 1245420853 * 16163045383828551823 87 : 3706795349055853229324900260857622319 (37) = 11 * 631875719 * 656720755699 * 812070089664809 88 : 40866521918642154860585199122889549709 (38) = 89^2 * 42363379 * 223006207 * 546109988172181393 89 : 3645196481713595484337076792241271893701 (40) = prime 90 : 3653182778990767589396015372875328285861 (40) = 99760406461159 * 36619565903764718006277779 91 : 3661081314759399341652108474601318124261 (40) = prime 92 : 3668893996878372053122809260004199377461 (40) = 3527 * 104294711255593 * 9973955319807206361451 93 : 3676622671662732154792749821908124918261 (40) = 16414122956882431477 * 223991417715140641793 94 : 3684269126502577787295988888472646995861 (40) = 22520881 * 163593472497926603639350915644581 95 : 3691835092344109255246562280652279367381 (40) = 647 * 3869709059 * 1474550663180610348468863297 96 : 3699322246041458103739317199996707235031 (40) = 97^2 * 393168481883458189365428547135371159 97 : 359553024620966925518018240656745677092407 (42) = 43049 * 3847663187 * 2170715117169689251318872389 98 : 360264457021270114060513483605065190394007 (42) = 20008601419577 * 26184825265327 * 687630298638433 99 : 360968703235711654233892612988250163157207 (42) = 617 * 647928571909 * 902936592516559651003356019 100 : 14466636279520351160221518043104131447711 (41) = 101^2 * 620890830471983 * 2284070837741348234617
| What's new | index | Numbers still not completely factored |
|---|