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This may be the first time when I like (and laugh to) a title change...
(just for posterity, original title "found a factor? say it!", current title "found a factor? say it backwards... fast", hehe, this was inspired!) |
Largest k ?
Sorry, I posted my question in the wrong thread. My intention was to post it in this thread where possibly more will read it. Sorry for the inconvenience.
[QUOTE=aketilander;309283][Sat Aug 25 14:19:11 2012] UID: aketilander/OBD, M3321932491 has a factor: 28126803354429776910329417 [TF:84:85:mfaktc 0.19 barrett92_mul32] 84.540 bits k=[COLOR=black]4233500143460588[/COLOR] (2 x [SIZE=2]2 × 7 × 11 × 13 × 17 × 128837 × 482743)[/SIZE] My first factor in the project Operation Billion Digits. This is to the best of my knowledge the largest non composite factor found for Mersenne prime exponents less then 2^32 (4294967296) [B]using ordinary trial factoring[/B], see [URL]http://www.mersenne-aries.sili.net/stats.php?showuserstats=*[/URL][/QUOTE] None seems to oppose the claim that "This is to the best of my knowledge the largest non composite factor found for Mersenne prime exponents less then 2^32 (4294967296) [B]using ordinary trial factoring"[/B] On Will Edgingtons list there are a few larger factors for very [I]very[/I] large Mersenne prime exponent numbers with small k:s, so my question is: Is the factor (of Mersenne prime exponent numbers) I found the factor found [B]using ordinary trial factoring[/B] with the largest [B]k[/B]? (k=[COLOR=black]4233500143460588). It would be nice to know if it is so or not.[/COLOR] |
[QUOTE=Axelsson;309489]Is that the reason ECM couldn't find it either?
<snip> But I can't see a reason to why ECM didn't find the factors. Is that just bad luck or does the composition of the factor have something to do with it? [/QUOTE] ECM doesn't take advantage of the "composition of the factor", as you put it. It is a probabilistic algorithm that depends on the size of the factor to be found and the bounds used. Sometimes you find them on your first curve, and sometimes on the millionth. C'est la vie. |
[QUOTE=aketilander;309497]Is the factor (of Mersenne prime exponent numbers) I found the factor found [B]using ordinary trial factoring[/B] with the largest [B]k[/B]? (k=[COLOR=black]4233500143460588). It would be nice to know if it is so or not.[/COLOR][/QUOTE]
Well in the 10,000,000 region it must be found above ^76 And in the 50,000,000 region it must be found above ^78 And in the 332,190,000 region it must be found above ^81 |
M902326099 has a factor q=4289111289480658787353; log2(q)=71.861...
k = 2^2 * 3^3 * 4363 * 5043881 = 2376696902724; log2(k)=41.112... 5043881/71.861 = 70189.41... M902326157 has a factor q=1828584835204776493769; log2(q)=70.631... k = 2^2 * 7 * 11 * 383 * 8589583 = 1013261569012; log2(k)=39.882... 8589583/70.631 = 121612.08... M902326927 has a factor q=1564980648610469913943; log2(q)=70.407... k = 3 * 7 * 22067 * 1871339 = 867191591973; log2(k)=39.658... 1871339/70.407 = 26578.88... M902327333 has a factor q=1310377264225374352417; log2(q)=70.15... k = 2^4 * 3 * 15127285487 = 726109703376; log2(k)=39.401... 15127285487/70.15 = 215641988.41... M902327561 has a factor q=2755552028850444215471; log2(q)=71.223... k = 5 * 13 * 109 * 215513531 = 1526913367135; log2(k)=40.474... 215513531/71.223 = 3025897.97... M902327821 has a factor q=122878013604208845481; log2(q)=66.736... k = 2^2 * 3^2 * 5 * 41 * 9226213 = 68089451940; log2(k)=35.987... 9226213/66.736 = 138249.42... M902328491 has a factor q=326220721690685121697; log2(q)=68.144... k = 2^4 * 3 * 11 * 13217 * 25903 = 180766054128; log2(k)=37.395... 25903/68.144 = 380.12... M902329093 has a factor q=494342952496957182863; log2(q)=68.744... k = 19 * 641 * 787 * 28579 = 273926085467; log2(k)=37.995... 28579/68.744 = 415.73... M902329277 has a factor q=357419180923009101521; log2(q)=68.276... k = 2^3 * 5 * 13 * 17 * 827 * 27091 = 198053631880; log2(k)=37.527... 27091/68.276 = 396.79... M902329433 has a factor q=87821790763629874927; log2(q)=66.251... k = 3 * 13 * 43 * 29018443 = 48663928911; log2(k)=35.502... 29018443/66.251 = 438007.62... M902329919 has a factor q=41539158212019957871; log2(q)=65.171... k = 3 * 5 * 263 * 5834657 = 23017721865; log2(k)=34.422... 5834657/65.171 = 89528.43... M902330153 has a factor q=146826243592006749697; log2(q)=66.993... k = 2^8 * 3^2 * 19 * 1858541 = 81359490816; log2(k)=36.244... 1858541/66.993 = 27742.32... M902351057 has a factor q=4186824829391096247911; log2(q)=71.826... k = 5 * 4.63991E+11 = 2319953413315; log2(k)=41.077... 463990682663/71.826 = 6459926526.09... M902351189 has a factor q=256170582655028761007; log2(q)=67.796... k = 7^2 * 18269 * 158567 = 141946165627; log2(k)=37.047... 158567/67.796 = 2338.88... M902351239 has a factor q=39707391857052682337; log2(q)=65.106... k = 2^4 * 7 * 53 * 1013 * 3659 = 22002181712; log2(k)=34.357... 3659/65.106 = 56.2... M902345089 has a factor q=4009929163200837078857; log2(q)=71.764... k = 2^2 * 5.55487E+11 = 2221948793252; log2(k)=41.015... 555487198313/71.764 = 7740471522.11... M902345209 has a factor q=1428356517157700748823; log2(q)=70.275... k = 3 * 23 * 149 * 76983659 = 791468998179; log2(k)=39.526... 76983659/70.275 = 1095462.95... M902345579 has a factor q=1691796002901619101481; log2(q)=70.519... k = 2^2 * 3^3 * 5 * 7 * 23 * 10782649 = 937443504060; log2(k)=39.77... 10782649/70.519 = 152904.17... M902336329 has a factor q=1337349006426462641177; log2(q)=70.18... k = 2^2 * 1.85262E+11 = 741047968172; log2(k)=39.431... 185261992043/70.18 = 2639811798.85... M902336951 has a factor q=205023061207420701809; log2(q)=67.474... k = 2^3 * 14200838513 = 113606708104; log2(k)=36.725... 14200838513/67.474 = 210463860.35... M902346377 has a factor q=214960221828680395367; log2(q)=67.543... k = 13 * 15679 * 584377 = 119111810779; log2(k)=36.794... 584377/67.543 = 8651.93... M902346469 has a factor q=260183405924735158399; log2(q)=67.818... k = 3 * 13 * 131 * 28218919 = 144170457171; log2(k)=37.069... 28218919/67.818 = 416097.78... M902346793 has a factor q=921539453863412692663; log2(q)=69.643... k = 3 * 1.70212E+11 = 510634858467; log2(k)=38.894... 170211619489/69.643 = 2444059266.39... M902337077 has a factor q=233034200099006219807; log2(q)=67.659... k = 47 * 2747407037 = 129128130739; log2(k)=36.91... 2747407037/67.659 = 40606675.19... M902337197 has a factor q=41800029853842355729; log2(q)=65.18... k = 2^3 * 3 * 965087063 = 23162089512; log2(k)=34.431... 965087063/65.18 = 14806490.69... M902337391 has a factor q=281413706365588876039; log2(q)=67.931... k = 3^4 * 331 * 1103 * 5273 = 155935966509; log2(k)=37.182... 5273/67.931 = 77.62... M902337959 has a factor q=1726987110442740172193; log2(q)=70.549... k = 2^4 * 8699 * 6875441 = 956951380144; log2(k)=39.8... 6875441/70.549 = 97456.25... M902338123 has a factor q=647736436704420431761; log2(q)=69.134... k = 2^3 * 3 * 5 * 7 * 107 * 163 * 24499 = 358921129560; log2(k)=38.385... 24499/69.134 = 354.37... M902338259 has a factor q=157366763740078270361; log2(q)=67.093... k = 2^2 * 5 * 73 * 59725637 = 87199430020; log2(k)=36.344... 59725637/67.093 = 890191.78... M902338819 has a factor q=4165658460450735161857; log2(q)=71.819... k = 2^8 * 3 * 3005542009 = 2308256262912; log2(k)=41.07... 3005542009/71.819 = 41848842.35... M902338999 has a factor q=791860245098677979647; log2(q)=69.424... k = 3 * 53 * 61 * 179 * 252737 = 438782013177; log2(k)=38.675... 252737/69.424 = 3640.48... M902347333 has a factor q=4240464968575516703801; log2(q)=71.845... k = 2^2 * 5^2 * 23496855443 = 2349685544300; log2(k)=41.096... 23496855443/71.845 = 327049278.91... M902347583 has a factor q=47443490561032761961; log2(q)=65.363... k = 2^2 * 3^3 * 5 * 17 * 73 * 39229 = 26288922060; log2(k)=34.614... 39229/65.363 = 600.17... M902348087 has a factor q=46651978812638230513; log2(q)=65.339... k = 2^3 * 3 * 13 * 82853599 = 25850322888; log2(k)=34.589... 82853599/65.339 = 1268057.35... M902348099 has a factor q=678889858181051218769; log2(q)=69.202... k = 2^3 * 11 * 4274767957 = 376179580216; log2(k)=38.453... 4274767957/69.202 = 61772318.1... M902348179 has a factor q=206429881543762657903; log2(q)=67.484... k = 3 * 11 * 2237 * 1549489 = 114384827469; log2(k)=36.735... 1549489/67.484 = 22960.84... M902348339 has a factor q=608586152759460261713; log2(q)=69.044... k = 2^3 * 23 * 787 * 2328763 = 337223512504; log2(k)=38.295... 2328763/69.044 = 33728.68... M902348633 has a factor q=461211119136056729969; log2(q)=68.644... k = 2^3 * 11 * 29 * 100141649 = 255561488248; log2(k)=37.895... 100141649/68.644 = 1458855.09... M902348791 has a factor q=767009122054660161823; log2(q)=69.378... k = 3 * 17^3 * 28835539 = 425007009321; log2(k)=38.629... 28835539/69.378 = 415629.44... M902348987 has a factor q=3150769383238192869151; log2(q)=71.416... k = 3^4 * 5^2 * 1301 * 662689 = 1745870737725; log2(k)=40.667... 662689/71.416 = 9279.28... M902349157 has a factor q=259116163894064160247; log2(q)=67.812... k = 3 * 23 * 2080850131 = 143578659039; log2(k)=37.063... 2080850131/67.812 = 30685573.81... M902349187 has a factor q=51681045791274590143; log2(q)=65.486... k = 3^2 * 1013 * 3141049 = 28636943733; log2(k)=34.737... 3141049/65.486 = 47965.2... M902351311 has a factor q=1388034889194470181121; log2(q)=70.234... k = 2^7 * 3^2 * 5 * 383 * 348637 = 769121112960; log2(k)=39.484... 348637/70.234 = 4963.93... M902351563 has a factor q=144981874840099284503; log2(q)=66.974... k = 31 * 571 * 4538477 = 80335581377; log2(k)=36.225... 4538477/66.974 = 67764.76... M902351771 has a factor q=40983502865689454071; log2(q)=65.152... k = 3 * 5 * 7 * 11 * 13 * 17 * 43 * 2069 = 22709271585; log2(k)=34.403... 2069/65.152 = 31.76... M902351941 has a factor q=686146823249130057361; log2(q)=69.217... k = 2^3 * 3 * 5 * 7 * 13^2 * 113 * 137 * [b]173[/b] = 380199117480; log2(k)=38.468... 173/69.217 = [b]2.5[/b]... M902352109 has a factor q=103690058988531196151; log2(q)=66.491... k = 5^2 * 23 * 71 * 283 * 4973 = 57455431175; log2(k)=35.742... 4973/66.491 = 74.79... M902352359 has a factor q=491561012856391640599; log2(q)=68.736... k = 3 * 29 * 3130776203 = 272377529661; log2(k)=37.987... 3130776203/68.736 = 45547838.15... |
My first P-1 factor!
P-1 found a factor in stage #1, B1=1000000.
M[URL="http://www.mersenne.org/report_exponent/?exp_lo=7850839&exp_hi=10000&B1=Get+status"]7850839[/URL] has a factor: 1425818927179395048889 (70.2723 bits) [URL="http://mersenne-aries.sili.net/exponent.php?exponentdetails=7850839"]k[/URL] = 90806786840196 = 2*2*3*3*7*73*69767*70753 This is my first factor found using P-1! |
gratz! May many more come to you!
|
[QUOTE=dabaichi;309631]This is my first factor found using P-1![/QUOTE]
Congratulation! Yes, sometimes you do this work for a long, long time and you think that you will never find a factor or you think you are doing something wrong. I know the feeling when you finally find one! |
M902339743 has a factor q=1563016932255738899449; log2(q)=70.405...
k = 2^2 * 3^2 * 71 * 131 * 1381 * 1873 = 866091150468; log2(k)=39.656... 1873/70.405 = 26.6... M902340181 has a factor q=2209671504475295551711; log2(q)=70.904... k = 3 * 5 * 13711 * 5953427 = 1224411563955; log2(k)=40.155... 5953427/70.904 = 83964.61... M902365733 has a factor q=1516342732497591982889; log2(q)=70.361... k = 2^2 * 1847 * 113725511 = 840204075268; log2(k)=39.612... 113725511/70.361 = 1616314.59... M902366263 has a factor q=3175662986546161712017; log2(q)=71.428... k = 2^3 * 3 * 13 * 1549 * 1699 * 2143 = 1759630826616; log2(k)=40.678... 2143/71.428 = 30... M902367223 has a factor q=60070405778233533521; log2(q)=65.703... k = 2^3 * 5 * 832122503 = 33284900120; log2(k)=34.954... 832122503/65.703 = 12664908.8... M902367887 has a factor q=4311101494282981366439; log2(q)=71.869... k = 7523 * 317529119 = 2388771562237; log2(k)=41.119... 317529119/71.869 = 4418165.26... M902368067 has a factor q=368025214304398453897; log2(q)=68.318... k = 2^2 * 3 * 797 * 21321821 = 203921896044; log2(k)=37.569... 21321821/68.318 = 312096.68... M902368319 has a factor q=1295058496989240590639; log2(q)=70.134... k = 80657 * 8896793 = 717588633001; log2(k)=39.384... 8896793/70.134 = 126854.21... M902368711 has a factor q=79584620164149338023; log2(q)=66.109... k = 3 * 239 * 61502953 = 44097617301; log2(k)=35.36... 61502953/66.109 = 930326.48... M902368927 has a factor q=1272199788688798742911; log2(q)=70.108... k = 3 * 5 * 8669 * 5421019 = 704922205665; log2(k)=39.359... 5421019/70.108 = 77323.83... M902350727 has a factor q=352355303612242776217; log2(q)=68.256... k = 2^2 * 3 * 7 * 19 * 23 * 5318813 = 195242987604; log2(k)=37.506... 5318813/68.256 = 77924.48... M902380543 has a factor q=52786025707953809239; log2(q)=65.517... k = 3 * 11 * 23 * 53 * 727079 = 29248206933; log2(k)=34.768... 727079/65.517 = 11097.56... M902380669 has a factor q=65584545922275845327; log2(q)=65.83... k = 67 * 542384081 = 36339733427; log2(k)=35.081... 542384081/65.83 = 8239162.71... M902381209 has a factor q=2137944856524853530881; log2(q)=70.857... k = 2^7 * 5 * 11 * 41 * 373 * 11003 = 1184612908160; log2(k)=40.108... 11003/70.857 = 155.28... M902381537 has a factor q=339594226402613245487; log2(q)=68.202... [b]k = 188165544439 prime[/b]; log2(k)=37.453... 188165544439/68.202 = 2758944670.82... M902381569 has a factor q=3952086541581337256479; log2(q)=71.743... k = 3 * 151 * 6569 * 735883 = 2189808988431; log2(k)=40.994... 735883/71.743 = 10257.21... M902381653 has a factor q=100213282153690518167; log2(q)=66.442... k = 3137 * 4127 * 4289 = 55527105311; log2(k)=35.692... 4289/66.442 = 64.55... M902381749 has a factor q=130782084227622233761; log2(q)=66.826... k = 2^4 * 3 * 5 * 307 * 853 * 1153 = 72464943120; log2(k)=36.077... 1153/66.826 = 17.25... M902382749 has a factor q=156893710447772727193; log2(q)=67.088... k = 2^2 * 3^2 * 31 * 863 * 90263 = 86933017404; log2(k)=36.339... 90263/67.088 = 1345.44... M902382959 has a factor q=190637371710071524097; log2(q)=67.369... k = 2^7 * 953 * 865933 = 105629971072; log2(k)=36.62... 865933/67.369 = 12853.58... M902383231 has a factor q=1336049692892141870729; log2(q)=70.178... k = 2^2 * 41 * 4513960471 = 740289517244; log2(k)=39.429... 4513960471/70.178 = 64321588.97... M902383369 has a factor q=183210185071734357319; log2(q)=67.312... k = 3 * 269 * 125792573 = 101514606411; log2(k)=36.563... 125792573/67.312 = 1868798.62... M902352827 has a factor q=1273491172358561763311; log2(q)=70.109... k = 5 * 11 * 53 * 5393 * 44887 = 705650347765; log2(k)=39.36... 44887/70.109 = 640.25... M902353061 has a factor q=4623170434267961200769; log2(q)=71.969... k = 2^6 * 11 * 13 * 279909347 = 2561730343744; log2(k)=41.22... 279909347/71.969 = 3889304.38... M902353787 has a factor q=2285788054399066206697; log2(q)=70.953... k = 2^2 * 3 * 7 * 15078211531 = 1266569768604; log2(k)=40.204... 15078211531/70.953 = 212509852.03... M902353951 has a factor q=95933889281234048039; log2(q)=66.379... [b]k = 53157571469 prime[/b]; log2(k)=35.63... 53157571469/66.379 = 800819106.48... M902354267 has a factor q=141524579090906528263; log2(q)=66.94... k = 3 * 17 * 1537639843 = 78419631993; log2(k)=36.19... 1537639843/66.94 = 22970418.93... M902354311 has a factor q=122872369642721523353; log2(q)=66.736... k = 2^2 * 11 * 19 * 43 * 1893967 = 68084325716; log2(k)=35.987... 1893967/66.736 = 28379.99... M902354701 has a factor q=2324619805175238564919; log2(q)=70.977... k = 3^3 * 47706866117 = 1288085385159; log2(k)=40.228... 47706866117/70.977 = 672145429.04... |
[QUOTE=aketilander;309645]Congratulation! Yes, sometimes you do this work for a long, long time and you think that you will never find a factor or you think you are doing something wrong. I know the feeling when you finally find one![/QUOTE]
Thank you firejuggler and aketilander! |
M902355073 has a factor q=152999789478383333071; log2(q)=67.052...
k = 3^2 * 5 * 13 * 67 * 457 * 4733 = 84778040295; log2(k)=36.303... 4733/67.052 = 70.59... M902355089 has a factor q=137471721410682963169; log2(q)=66.898... k = 2^4 * 3 * 29 * 37 * 467 * 3167 = 76173849456; log2(k)=36.149... 3167/66.898 = 47.34... M902356921 has a factor q=324464834814780550729; log2(q)=68.137... k = 2^2 * 3 * 14982284507 = 179787414084; log2(k)=37.388... 14982284507/68.137 = 219884710.32... M902357347 has a factor q=61405385353866164353; log2(q)=65.735... k = 2^6 * 3 * 7^2 * 43 * 151 * 557 = 34024982208; log2(k)=34.986... 557/65.735 = 8.47... M902358073 has a factor q=187326681218705934281; log2(q)=67.344... k = 2^2 * 5 * 1381 * 3758089 = 103798418180; log2(k)=36.595... 3758089/67.344 = 55804.36... M902358157 has a factor q=2364253274081963312519; log2(q)=71.002... k = 107 * 12243378541 = 1310041503887; log2(k)=40.253... 12243378541/71.002 = 172437093.9... M902358227 has a factor q=627075296328986202497; log2(q)=69.087... k = 2^6 * 283 * 19184227 = 347464719424; log2(k)=38.338... 19184227/69.087 = 277682.15... M902383921 has a factor q=415861384645082410961; log2(q)=68.495... k = 2^3 * 5 * 5760593897 = 230423755880; log2(k)=37.745... 5760593897/68.495 = 84102400.13... M902384107 has a factor q=4368235801502132572561; log2(q)=71.888... k = 2^3 * 3 * 5 * 20169883717 = 2420386046040; log2(k)=41.138... 20169883717/71.888 = 280573721.86... M902384251 has a factor q=617005314014346421807; log2(q)=69.064... k = 3 * 431 * 264404521 = 341875045653; log2(k)=38.315... 264404521/69.064 = 3828398.6... M902384389 has a factor q=506227028167244328641; log2(q)=68.778... k = 2^5 * 5 * 131 * 13382353 = 280494118880; log2(k)=38.029... 13382353/68.778 = 194573.16... M902384489 has a factor q=3713386099208948370671; log2(q)=71.653... k = 5 * 7 * 11 * 17 * 97 * 3240911 = 2057540962015; log2(k)=40.904... 3240911/71.653 = 45230.64... M902384597 has a factor q=4461595678312787923169; log2(q)=71.918... k = 2^4 * 13^2 * 691 * 1323073 = 2472114269872; log2(k)=41.169... 1323073/71.918 = 18396.97... M902384779 has a factor q=3120057281581477925111; log2(q)=71.402... k = 5 * 47 * 9431 * 780037 = 1728784302545; log2(k)=40.653... 780037/71.402 = 10924.58... M902384929 has a factor q=1018721400819497586721; log2(q)=69.787... k = 2^4 * 3^2 * 5 * 599 * 1308803 = 564460557840; log2(k)=39.038... 1308803/69.787 = 18754.25... M902385061 has a factor q=4618616318710025286521; log2(q)=71.968... k = 2^2 * 5 * 23 * 33647 * 165343 = 2559116123660; log2(k)=41.219... 165343/71.968 = 2297.45... M902385457 has a factor q=468215806783143993881; log2(q)=68.666... k = 2^2 * 5 * 823 * 15761377 = 259432265420; log2(k)=37.917... 15761377/68.666 = 229536.85... M902385937 has a factor q=1255139414700911160719; log2(q)=70.088... k = 11 * 28513 * 2217349 = 695455992407; log2(k)=39.339... 2217349/70.088 = 31636.64... M902386913 has a factor q=355262042204653683079; log2(q)=68.267... k = 3^2 * 7 * 83 * 37645007 = 196845741603; log2(k)=37.518... 37645007/68.267 = 551437.84... M902387323 has a factor q=101720240007967687207; log2(q)=66.463... k = 3 * 18787246787 = 56361740361; log2(k)=35.714... 18787246787/66.463 = 282672265.58... M902387977 has a factor q=1595549743071297041519; log2(q)=70.435... k = 7 * 71 * 1778814511 = 884070811967; log2(k)=39.685... 1778814511/70.435 = 25254695.98... M902388427 has a factor q=58057736363775669967; log2(q)=65.654... k = 3 * 41729 * 256967 = 32168927829; log2(k)=34.905... 256967/65.654 = 3913.96... M902388863 has a factor q=312593518044889630321; log2(q)=68.083... k = 2^3 * 3 * 5 * 2621 * 550691 = 173203333320; log2(k)=37.334... 550691/68.083 = 8088.52... M902389151 has a factor q=2418831686693208937223; log2(q)=71.035... k = 3359 * 398998979 = 1340237570461; log2(k)=40.286... 398998979/71.035 = 5616935.02... M902389403 has a factor q=800488555087337135449; log2(q)=69.439... k = 2^2 * 3 * 11 * 13 * 258472213 = 443538317508; log2(k)=38.69... 258472213/69.439 = 3722291.69... M902389771 has a factor q=105991792951588278289; log2(q)=66.523... k = 2^3 * 3 * 23 * 41 * 907 * 2861 = 58728387864; log2(k)=35.773... 2861/66.523 = 43.01... M902389847 has a factor q=158162794776039267337; log2(q)=67.1... k = 2^2 * 3 * 421 * 17346697 = 87635513244; log2(k)=36.351... 17346697/67.1 = 258520.07... M902390101 has a factor q=99406938155914325191; log2(q)=66.43... k = 3 * 5 * 19 * 29 * 6664223 = 55079803095; log2(k)=35.681... 6664223/66.43 = 100319.48... M902390117 has a factor q=1780340417263434096913; log2(q)=70.593... k = 2^3 * 3 * 131 * 3089 * 101573 = 986458286568; log2(k)=39.843... 101573/70.593 = 1438.85... M902390227 has a factor q=350146134124253735017; log2(q)=68.247... k = 2^2 * 3 * 7 * 61 * 37863071 = 194010375804; log2(k)=37.497... 37863071/68.247 = 554794.66... M902390327 has a factor q=73432298153936442359; log2(q)=65.993... k = 11^2 * 2003 * 167879 = 40687658077; log2(k)=35.244... 167879/65.993 = 2543.89... M902390677 has a factor q=93522153364198949167; log2(q)=66.342... k = 3 * 7 * 2467576399 = 51819104379; log2(k)=35.593... 2467576399/66.342 = 37194784.59... M902369267 has a factor q=50045503414132108769; log2(q)=65.44... k = 2^4 * 17 * 67 * 1521623 = 27730057552; log2(k)=34.691... 1521623/65.44 = 23252.19... M902369803 has a factor q=1000700915135253374239; log2(q)=69.762... k = 3 * 7 * 307 * 8377 * 10267 = 554484930573; log2(k)=39.012... 10267/69.762 = 147.17... M902370283 has a factor q=726525129389871137441; log2(q)=69.3... k = 2^4 * 5 * 2663 * 1889621 = 402564857840; log2(k)=38.55... 1889621/69.3 = 27267.26... M902370323 has a factor q=1863067147437568071887; log2(q)=70.658... k = 31 * 33300596611 = 1032318494941; log2(k)=39.909... 33300596611/70.658 = 471292657.75... M902370797 has a factor q=2015788591414902347273; log2(q)=70.772... k = 2^2 * 81667 * 3419191 = 1116940285588; log2(k)=40.023... 3419191/70.772 = 48312.76... M902371451 has a factor q=2636421482621132256767; log2(q)=71.159... k = 8389 * 174136297 = 1460829395533; log2(k)=40.41... 174136297/71.159 = 2447143.68... M902371991 has a factor q=150734496445240093223; log2(q)=67.031... k = 181 * 461443441 = 83521262821; log2(k)=36.281... 461443441/67.031 = 6884030.39... M902372123 has a factor q=1742933690738588937191; log2(q)=70.562... k = 5 * 7 * 23 * 269 * 4459817 = 965751072265; log2(k)=39.813... 4459817/70.562 = 63204.23... M902373097 has a factor q=177355453892516588137; log2(q)=67.265... k = 2^2 * 3 * 7 * 19 * 163 * 503 * 751 = 98271687444; log2(k)=36.516... 751/67.265 = 11.16... M902373371 has a factor q=1789805281326685116313; log2(q)=70.6... k = 2^2 * 3 * 7 * 13 * 908169433 = 991721020836; log2(k)=39.851... 908169433/70.6 = 12863589.7... M902373377 has a factor q=59678408257556977033; log2(q)=65.694... k = 2^2 * 3 * 19 * 145032761 = 33067469508; log2(k)=34.945... 145032761/65.694 = 2207701.78... M902373401 has a factor q=2299468611890316794783; log2(q)=70.962... k = 41 * 97 * 320372783 = 1274122557991; log2(k)=40.213... 320372783/70.962 = 4514709.04... M902373431 has a factor q=95687383807011611129; log2(q)=66.375... k = 2^2 * 107 * 401 * 308923 = 53019836644; log2(k)=35.626... 308923/66.375 = 4654.21... M902373721 has a factor q=338769393731919680833; log2(q)=68.199... k = 2^5 * 3^2 * 29 * 37^2 * 16417 = 187710139296; log2(k)=37.45... 16417/68.199 = 240.72... M902373851 has a factor q=94060652892763620127; log2(q)=66.35... k = 3 * 7^2 * 31 * 1489 * 7681 = 52118450013; log2(k)=35.601... 7681/66.35 = 115.76... M902374007 has a factor q=418920580187969389711; log2(q)=68.505... k = 3 * 5 * 367 * 42165553 = 232121369265; log2(k)=37.756... 42165553/68.505 = 615510.59... M902374169 has a factor q=1219709431477666017881; log2(q)=70.047... k = 2^2 * 5 * 19 * 31 * 479 * 119773 = 675833525260; log2(k)=39.298... 119773/70.047 = 1709.89... M902374397 has a factor q=238632715463848519577; log2(q)=67.693... k = 2^2 * 7^2 * 18743 * 35993 = 132224892604; log2(k)=36.944... 35993/67.693 = 531.71... M902374531 has a factor q=2780393487251581427081; log2(q)=71.236... k = 2^2 * 5 * 43 * 101 * 167 * 106207 = 1540598383340; log2(k)=40.487... 106207/71.236 = 1490.92... M902374633 has a factor q=176697204212557431841; log2(q)=67.26... k = 2^4 * 3 * 5 * 23 * 73 * 229 * 1061 = 97906788240; log2(k)=36.511... 1061/67.26 = 15.77... M902374727 has a factor q=443838074482635657553; log2(q)=68.589... k = 2^3 * 3^2 * 7 * 13 * 31 * 1210799 = 245927806488; log2(k)=37.839... 1210799/68.589 = 17652.96... |
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