20170119, 23:53  #287 
Feb 2013
2·229 Posts 
http://factordb.com/index.php?id=1100000000020360822
http://factordb.com/index.php?id=1100000000812103053 Here RSA100 versus the magic number. Since I noticed that it was being mentioned, I took the time here. Total factoring time = 40229.7390 seconds Next a little while since last time and also I try to be polite. Make it (n#) (or Primordial) in that of the Factor Database by next keying in the starting number here (supposedly 1). Next scroll down to 200 in the list and next compare, by at least dividing from what you get next. Here apparently it became reported, but next no complete summary of such occurrences for even the smaller numbers. Next have the cake as usual. Last fiddled with by storflyt32 on 20180707 at 13:58 
20180706, 20:01  #288 
Feb 2013
2·229 Posts 
Better a new one, for a quite good last one.
http://factordb.com/index.php?id=1100000001156787262 In the door at just before 10 PM, and look at the syntax here. Nice one, but I have yet to continue from here for the P170. http://factordb.com/index.php?id=1100000001156841289 http://factordb.com/index.php?id=1100000001156396617 Flips around with the same P43, but could still be doing the whole thing. Not to be any mean, pr impolite, because here also that user as well. but already mentioned my poor fingers, and I need to edit my stuff. Possibly I could see the reply go away a little later, because in the way here. But next a bit strange, in that it becomes a C131 from the C163, which should rather mean a P32, or P33. http://factordb.com/index.php?id=1100000001156887862 http://factordb.com/index.php?id=1100000001156888470 Next only keying in, for also loose factors, at least the first one. So it goes. http://factordb.com/index.php?id=1100000001156891386 Loose factors here. Forgot the name for a moment, for that of Paul Underwood, but next appreciate both his name, and also contribution. Here a P187 at the other end, and still no record prime on my own behalf. Signor, signorita (for at least half part of a complete lie). Needs an edit above. Anyway, delete posts as spam, or delete Posts, ONLY because they are in the way, and not any unfriendly. Needs to be selected here, and in which way, or how, doing so? Click, click, for that of spam (v). Oh, you are welcome, except for not really, or sometimes making, or seeing it so. A bit of notice, or in advance, but next "sicks", for a bit of post, and next in the way. Hi, Paul (Paul Underwood, for next a bit of crooked,and next perhaps also agree as well). Off you go, and next also a bit of slant as well (petrw1). except for not knowing, or the underline, as well. Brr, but at least an attempt here, being made, for also an undertaking (given), and next no Paradise either. Sorry about that, but perhaps not any PPS LLR either, but if rather making it the Riemann hypothesis, perhaps a bit closer, because here you could break up even RSA2048 a little. ans = 5420054200542005420054200542005420054200542005420054200542005420054200542005420054200542005420054200542005420054200542005420054200542005420054200542005420054200542005420054200542005420054200542005420054 2005420054200542005420054200542005420054200542005420054200542005420054200542005420054200542005420054200542005420054200542005420054200542005420054200542005420054200542005420054200542005420054200542005420054 2005420054200542005420054200542005420054200542005420054200542005420054200542005420054200542005420054200542005420054200542005420054200542005420054200542005420054200542005420054200542005420054200542005420054 2005420054200542005420054200542005420054200542005420054200542005420054200542005420054200542005420054200542005420054200542005420054200542005420054200542005420054200542005420054200542005420054200542005420054 200542005420054200542005420054200542005420054200542005420054200542005420054200542005420054200542005420054200542005420054200542005420054200542005420054200542005420054200542005420054 ans = 2710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100 2710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100 2710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100 2710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100 271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027 ***factors found*** P2 = 19 P16 = 3585107833293269 ***cofactor*** C980 = 39784857781083520844820190298297436128251695515693020423334127283462023490331491485411890528816276627159899051888202536687301909133952859026447926176535942936481662046011606636778215079770507718216811459632 06053901765053032362091990970731071204204311104682276175326365298368840640407813362607624377674627207779195815300775045327388403243275869722034420813302410283680899028800485422148023128196878697787980330187 53562499592527144548646067847840437978189542687417553880379916494118748991571636771974931092643885686564316841864454988816606440777892411721418986660843744583992876519883010989832370155986371332005318887417 87608994796121751886622705984650540318455502648910888960321347961510767349011671487503122801770787260777524288234277338340357235232951524779497832266229554904557052627260527279254918434485256239786288365523 567854678666667720998315876282187587841806052653068990751451860501226483840272383605016262150406863379889289344190013862911742742236521188017980366187402757 ans = 52839936967985066907419942654735483198282875113534225462910836285604026096242110880447211201987078762007569488319607970302580731081915856652684382669831498136146829992746420899263136356902277933321461058957 87555573549542902497772118843703112499520824322414787732216783320090093215372448717035327766096552324190994294377794309354047862289937314994145529382164522736254620407364800812719646484819632619442707143373 78704655546835834616089826150449250868672882581996121961471204036862348718729530714053325074858947943728120990687823040001517263869568221589535897464767324291095937200043844206308026982412665686564209810093 23482993091626869579886999297672812001085088001807116255256880024422568375258508214653182798887780716856556285037805503596979394498445044367529628084656901238658605433341755414062021738327668677960376342066 755703321 ans = 42141886715027518276447979319137655869748346804607003815784723735480268647718033912931310241274298026492232662442212105933635267286432014 yafux64 "factor(42141886715027518276447979319137655869748346804607003815784723735480268647718033912931310241274298026492232662442212105933635267286432014)" fac: factoring 42141886715027518276447979319137655869748346804607003815784723735480268647718033912931310241274298026492232662442212105933635267286432014 fac: using pretesting plan: normal fac: no tune info: using qs/gnfs crossover of 95 digits div: primes less than 10000 fmt: 1000000 iterations rho: x^2 + 3, starting 1000 iterations on C134 rho: x^2 + 2, starting 1000 iterations on C134 rho: x^2 + 2, starting 1000 iterations on C128 rho: x^2 + 1, starting 1000 iterations on C128 pm1: starting B1 = 150K, B2 = gmpecm default on C128 ecm: 2/30 curves on C105, B1=2K, B2=gmpecm default ecm: 27/27 curves on C94, B1=2K, B2=gmpecm default ecm: 47/74 curves on C94, B1=11K, B2=gmpecm default ecm: 26/26 curves on C74, B1=11K, B2=gmpecm default ecm: 110/110 curves on C74, B1=50K, B2=gmpecm default, ETA: 0 sec starting SIQS on c74: 25221297812719244178264244404666037396794751690108092889644570091012056977 ==== sieving in progress (1 thread): 22896 relations needed ==== ==== Press ctrlc to abort and save state ==== 21370 rels found: 11129 full + 10241 from 109065 partial, (1463.98 rels/sec) gmp: overflow in mpz type yafu>yafux64 "42141886715027518276447979319137655869748346804607003815784723735480268647718033912931310241274298026492232662442212105933635267286432014/2522129781271924417826424440466603739679475169010809288964457 0091012056977" ans = 1670884941288593195010513951788535896920452037581511598480788782 yafux64 "factor(1670884941288593195010513951788535896920452037581511598480788782)" fac: factoring 1670884941288593195010513951788535896920452037581511598480788782 fac: using pretesting plan: normal fac: no tune info: using qs/gnfs crossover of 95 digits div: primes less than 10000 fmt: 1000000 iterations rho: x^2 + 3, starting 1000 iterations on C61 rho: x^2 + 2, starting 1000 iterations on C61 rho: x^2 + 2, starting 1000 iterations on C55 rho: x^2 + 1, starting 1000 iterations on C55 pm1: starting B1 = 150K, B2 = gmpecm default on C55 ecm: 5/30 curves on C32, B1=2K, B2=gmpecm default fac: factoring 104386885929342506048623 fac: using pretesting plan: normal fac: no tune info: using qs/gnfs crossover of 95 digits div: primes less than 10000 fmt: 1000000 iterations rho: x^2 + 3, starting 1000 iterations on C24 rho: x^2 + 2, starting 1000 iterations on C24 rho: x^2 + 1, starting 1000 iterations on C24 pm1: starting B1 = 150K, B2 = gmpecm default on C24 ecm: 10/30 curves on C24, B1=2K, B2=gmpecm default Total factoring time = 0.1220 seconds Total factoring time = 0.2540 seconds ***factors found*** P1 = 2 P1 = 3 P3 = 191 P6 = 702773 P20 = 64257111420990378613 P12 = 309299856821 P11 = 50648797499 P13 = 2060994358877 ans = 1 yafux64 "factor(104386885929342506048623)" fac: factoring 104386885929342506048623 fac: using pretesting plan: normal fac: no tune info: using qs/gnfs crossover of 95 digits div: primes less than 10000 fmt: 1000000 iterations rho: x^2 + 3, starting 1000 iterations on C24 rho: x^2 + 2, starting 1000 iterations on C24 rho: x^2 + 1, starting 1000 iterations on C24 pm1: starting B1 = 150K, B2 = gmpecm default on C24 ecm: 1/30 curves on C24, B1=2K, B2=gmpecm default Total factoring time = 0.0813 seconds ***factors found*** P11 = 50648797499 P13 = 2060994358877 ans = 1 ***factors found*** P1 = 2 P1 = 2 P1 = 2 P1 = 2 P2 = 29 P24 = 578074963495811635676243 P27 = 121329195885541691924326309 P119 = 98484055422020833960855471425243965512177984713173513695586477031864966715722457530456576653608798324920592963154086489 ans = 1 P24 = 578074963495811635676243 P27 = 121329195885541691924326309 P119 = 98484055422020833960855471425243965512177984713173513695586477031864966715722457530456576653608798324920592963154086489 ***factors found*** P1 = 7 P1 = 7 P1 = 7 P1 = 7 P2 = 17 P3 = 101 P6 = 429971 P13 = 1612174398229 P51 = 291251204326583835249943826325821179397254808682289 ans = 1 P6 = 429971 P13 = 1612174398229 P51 = 291251204326583835249943826325821179397254808682289 ***factors found*** P1 = 2 P1 = 2 P1 = 2 P1 = 3 P2 = 31 P5 = 12923 P9 = 261602441 P12 = 448681536463 P20 = 22188904891875458323 ***cofactor*** C140 = 20471673280771285832667649293766675714832894614930981464403750457407592308811281951467975723276371922074445100918190660950862889948065142461 P5 = 12923 P9 = 261602441 P12 = 448681536463 P20 = 22188904891875458323 ***factors found*** P1 = 2 P1 = 3 P1 = 3 P1 = 3 P1 = 7 P5 = 77813 P7 = 2143763 P13 = 4794651467327 P15 = 170042104923259 P141 = 455972515713667689756941080181169332426173689482854048668118932374793603883658074370321522841203400482364100300966561115593458912442349874263 ans = 1 P13 = 4794651467327 P15 = 170042104923259 P141 = 455972515713667689756941080181169332426173689482854048668118932374793603883658074370321522841203400482364100300966561115593458912442349874263 296216123146359703446123557987265625039632912890647247978342041760133406435520267720785016048653344896979668791081189701308767348910375962544423864892844158656335686258 ***factors found*** P1 = 2 P1 = 3 P1 = 3 P1 = 3 P1 = 7 P5 = 77813 P7 = 2143763 P15 = 170042104923259 P13 = 4794651467327 P23 = 39359457063446879745679 ***cofactor*** C105 = 146394698321027662789640225719648975917709550835376096621361704791285459689646437122718023014753727197577 P15 = 170042104923259 P13 = 4794651467327 P23 = 39359457063446879745679 P5 = 77813 P7 = 2143763 P13 = 4794651467327 P15 = 170042104923259 P23 = 39359457063446879745679 P39 = 136275317963279600947861676442402539921 P67 = 1074256883117123265287168940666962143021790180862960930775808060537 ans = 1 P39 = 136275317963279600947861676442402539921 P67 = 1074256883117123265287168940666962143021790180862960930775808060537 ***factors found*** P1 = 2 P1 = 2 P1 = 2 P7 = 3394843 P17 = 23033691320803409 P58 = 1120402708734709861599370058619916818971660010255090347029 ans = 1 P7 = 3394843 P17 = 23033691320803409 P58 = 1120402708734709861599370058619916818971660010255090347029 ***factors found*** P1 = 2 P2 = 79 P7 = 1390331 P6 = 472189 P5 = 33029 P10 = 9524401387 P62 = 20594777079388832702774495546209467836235910909262363800079591 ans = 1 P10 = 9524401387 P62 = 20594777079388832702774495546209467836235910909262363800079591 P8 = 15717151 P7 = 4284223 P22 = 4842794553442464186937 P28 = 8015350093737233261248105381 P122 = 57326144317233060957281735417982534755295015401959578091831802149641790346423151159384232487536840528094906208766367848561 ans = 1 P8 = 15717151 P7 = 4284223 P22 = 4842794553442464186937 P28 = 8015350093737233261248105381 P122 = 57326144317233060957281735417982534755295015401959578091831802149641790346423151159384232487536840528094906208766367848561 P3 = 113 P20 = 96197892717166844623 P50 = 66108484693852180054996484169505476945004298369611 ans = 1 P20 = 96197892717166844623 P50 = 66108484693852180054996484169505476945004298369611 P3 = 113 P33 = 786966773096634437528272869151183 P20 = 96197892717166844623 ans = 1 P33 = 786966773096634437528272869151183 P20 = 96197892717166844623 P2 = 31 P21 = 970522045064611622413 P47 = 29071942970689030693264790360854837162905332533 ans = 1 P21 = 970522045064611622413 P47 = 29071942970689030693264790360854837162905332533 P4 = 3167 P5 = 55697 P6 = 226799 P6 = 361327 P22 = 8645263351345273854361 P22 = 8645263351345273854361 P101 = 25898908484327975375201713836139782993414068607363199442335629724329661655608288984497635667289090969 P5 = 42863 P5 = 50789 P8 = 27862999 P12 = 353748537437 P21 = 436235398227113872333 P158 = 10317547969097417268145559203959813047190404203466346936119446117888577031773053526496215126627048331792969369294345796404505110802874282534019982852215299839 ans = 1 P12 = 353748537437 P21 = 436235398227113872333 P158 = 10317547969097417268145559203959813047190404203466346936119446117888577031773053526496215126627048331792969369294345796404505110802874282534019982852215299839 P8 = 50067169 P167 = 41300845630419153794204071922397021858637703673282733284007756105126720588878049083257629644080837547676428530357016151956497217542527808156758061462046242194129226603 ans = 1 P8 = 50067169 P167 = 41300845630419153794204071922397021858637703673282733284007756105126720588878049083257629644080837547676428530357016151956497217542527808156758061462046242194129226603 P5 = 31847 P6 = 234733 P6 = 826289 P149 = 17755630614628541492683996355021229108350977750702767638724340491752117666007328840874113375387623724652763543620680157872213480075855806308263772683 ans = 1 P149 = 17755630614628541492683996355021229108350977750702767638724340491752117666007328840874113375387623724652763543620680157872213480075855806308263772683 179387360787413401492716241138758344001784134035382629295819258922207404373601218248891102443858421604823668894654447792152713095599814035455382163117072921561209 P3 = 347 P9 = 772200133 P10 = 4453155479 P65 = 31914450219457517551135968037215622332548058093190792411534920353 ans = 1 P9 = 772200133 P10 = 4453155479 P65 = 31914450219457517551135968037215622332548058093190792411534920353 P7 = 3481169 P17 = 10735090248004313 P25 = 1708313945065021884110887 P22 = 1210229465501884725949 ans = 1 P17 = 10735090248004313 P25 = 1708313945065021884110887 P22 = 1210229465501884725949 ***factors found*** P3 = 397 P6 = 271013 P9 = 489671951 P135 = 263555244337416621332799554637747306935451235096449558811613727188907361599414771652564073265976986553669042480680847707964597385069123 ans = 1 P9 = 489671951 P135 = 263555244337416621332799554637747306935451235096449558811613727188907361599414771652564073265976986553669042480680847707964597385069123 512478555323590680315976002232044422311523362949175223015389759859592543165362275248224689651827286095991195329326232471312603972858531972338591953926145330386202685744857919 ***factors found*** P2 = 19 P8 = 39723689 P12 = 139497451241 P154 = 4867503251523433212455022964732306466674086414859129740177856848045301097106173902507225663491321415917102844133730925724549540409660380424769596603795349 ans = 1 P8 = 39723689 P12 = 139497451241 P154 = 4867503251523433212455022964732306466674086414859129740177856848045301097106173902507225663491321415917102844133730925724549540409660380424769596603795349 ***factors found*** P2 = 19 P8 = 39723689 P12 = 139497451241 P135 = 263555244337416621332799554637747306935451235096449558811613727188907361599414771652564073265976986553669042480680847707964597385069123 ans = 1 P8 = 39723689 P12 = 139497451241 P135 = 263555244337416621332799554637747306935451235096449558811613727188907361599414771652564073265976986553669042480680847707964597385069123 P12 = 142313225339 P20 = 18826959111035501521 P21 = 201622833784306949873 P19 = 4824761870443875673 ans = 1 P12 = 142313225339 P20 = 18826959111035501521 P21 = 201622833784306949873 P19 = 4824761870443875673 ***factors found*** P1 = 3 P1 = 7 P5 = 33359 P26 = 42836726922148962515204441 P114 = 173232749759294164831457069278952613183619686286628003491530216882975732049688940880598429523770635638037122579419 ans = 1 P26 = 42836726922148962515204441 P114 = 173232749759294164831457069278952613183619686286628003491530216882975732049688940880598429523770635638037122579419 779681734854807572491276166901128685123367329703064847137966970583790682242648419236211407322192785179894499948335160890131392918885395824153684369191275673936923663440144841659202870912073748043 ***factors found*** P1 = 2 P1 = 7 P3 = 971 P5 = 83009 P8 = 16248361 P10 = 8885493917 P23 = 11067355131506991626761 P98 = 15318439722168371700006864687205409132993708824521300848697180846541952175770890171627553912806297 ans = 1 P8 = 16248361 P10 = 8885493917 P23 = 11067355131506991626761 P98 = 15318439722168371700006864687205409132993708824521300848697180846541952175770890171627553912806297 P17 = 10275951190301773 P98 = 15318439722168371700006864687205409132993708824521300848697180846541952175770890171627553912806297 ans = 1 P17 = 10275951190301773 P98 = 15318439722168371700006864687205409132993708824521300848697180846541952175770890171627553912806297 P8 = 13166011 P11 = 14038373717 P18 = 218029776980247403 ***cofactor*** C96 = 937506912088388513942243889721299941703378601241249531285190724888820285526822056325047898256097 P8 = 13166011 P11 = 14038373717 P18 = 218029776980247403 ***factors found*** P1 = 3 P1 = 3 P2 = 73 P3 = 293 P6 = 244087 P8 = 16924993 P10 = 9611851891 P21 = 439437937031476423631 ***cofactor*** C198 = 588554322700617159047682468203833821011197588563992070552745929203766807027019424790662737216201311979706626659248160333867934437075717002132628103997754809728369058509245032987748657081547354605551 197695738761332712160195507069848720614180862976727806988268154340069264019797273185955270266973830827726576574093864065781829481623120242180366723308099246272798812850687879524020387256744181393664499508 1356295856611715542858418378705113210371961 P6 = 244087 P8 = 16924993 P10 = 9611851891 P21 = 439437937031476423631 P3 = 499 P27 = 394385638270345967318720359 P78 = 359355641662368098455914995213527584360923609640557388492063622612595098787707 ans = 1 P27 = 394385638270345967318720359 P78 = 359355641662368098455914995213527584360923609640557388492063622612595098787707 ***factors found*** P1 = 5 P2 = 19 P7 = 4381787 P10 = 7310211793 P51 = 688535321423803828790742605100677654036895386306071 ans = 1 P7 = 4381787 P10 = 7310211793 P51 = 688535321423803828790742605100677654036895386306071 536112163264346319646691124699866802841863943629791068949380016742032993592761870592996989000739239919079428387000610496093425480344763944314542150216426856788434131711695306345590054318630 P8 = 16311089 P10 = 2020909427 P168 = 566490538758401025807045291320007680208277541048299140733260904729406911911605039417241408897928547394487854851645042863411390836724357462610597881753903959640084878251 238426596077006758946288436811643938564689383003296084485938522991031600637075564735467487962335684587106107631513350173835418803806062420210 ***factors found*** P2 = 43 P18 = 646942666081690763 P25 = 1854032921117134282828871 P22 = 8149741825027611852721 P88 = 2493018963743938975757585181097607763853134136721641916420840327371321417077819356568169 ans = 1 P18 = 646942666081690763 P25 = 1854032921117134282828871 P22 = 8149741825027611852721 P88 = 2493018963743938975757585181097607763853134136721641916420840327371321417077819356568169 P47 = 95763270954048847308953262668563527004367056283 P94 = 1992391607813287882999490449435788800090000237870345472912991040116238815626168538708155732301 565747711251995522147696832871320943040796978065962326885400156789081374441408215680437998389365139655525919985858422569890213404133556961536380691578306747446162379981627798 P9 = 293694551 P15 = 222651782947051 P28 = 8493004751178832925312650453 P74 = 26169164238864197071164574044797459939152234080930207228722382560456615003 P6 = 417583 P11 = 29815715113 P19 = 3175264036848159493 ***cofactor*** C132 = 357246137027627318428729988941683767513337417094299456017186501554443414345372143638431614652083079968526987893325566416015441274633 P6 = 417583 P11 = 29815715113 P19 = 3175264036848159493 Sorry about that, but perhaps not any PPS LLR either, but if rather making it the Riemann hypothesis, perhaps a bit closer, because here you could break up even RSA2048 a little. Last fiddled with by storflyt32 on 20180712 at 15:41 
20180707, 02:50  #289 
1976 Toyota Corona years forever!
"Wayne"
Nov 2006
Saskatchewan, Canada
4839_{10} Posts 
A lucky streak...
For the last 6 months I've been focused on factoring in the 5xM range with 28 PM1 cores and a GTX980 GPU.
I've been averaging 1TF factor per week and about 6 PM1 factors per week. In the last 7 days I found 5 TF Factors and 9 PM1. Granted I've also had 7 day spans where I've found no factors but I'll try to forget those. í ½í¸€ You are welcome! Last fiddled with by storflyt32 on 20180707 at 05:05 
20180710, 20:18  #290 
Feb 2013
2×229 Posts 
Forgot keying in the last digit of a number, and it only became the first line, and not the second.
As a result, a P97 showing up, and also a P44 in my notes, it became a quite good pair, because again a bit of nice syntax, in the larger one. http://factordb.com/index.php?id=1100000001157448350 http://factordb.com/index.php?id=1100000001157448353 P44 = 51276278349263022640891102551542706197364157 P97 = 1413700770271574341758521798292576912378307757294793637158084053977627880879379705711048210744973 This one for the record. It flips to the right when editing, and again my poor hands, for also just back from the shop. Adding to it a couple of broken disks, and also problems in my home, not always that easy, except that I sometimes am reminded about the numerous lines, for that of the really big one, and also the one we could be looking for. So while still a handful of sand, for also the Avogadro constant, any such thing as enumeration, next for that of nature itself, except for only making it a usual part? Possibly quantifying such things as atoms and molecules, for also complex structures, except for the fact that such a thing as cryptoanalysis and secret messages, not necessarily are part of regular crunching, for that of numbers. The definition of a prime number could still be that it is only divisible by itself, and also 1, for that of an integer number, but like leaving no stone untouched, also grains of sand which could be made even finer, for that almost endless divisibility. You perhaps already know that I do not always make it 2, or 5, from just 100, like also 7 for the same, except for sometimes actually the starting point. Making it some 2^n1 (or +1), you get the syntax for a number which sometimes could be large, except for not always assuming any primality either. So if perhaps Proth, for next also a Proth number, and also LLR, or making it the algorithm for this as well (some two web pages at the Wikipedia), because here somewhere a listing for the largest, or one of the largest Proth numbers, having 19... in the syntax, but still + at the end, either just a bit confused, or rather the fact that it could still be the definition of a prime itself. https://en.wikipedia.org/wiki/Proth_number#Proth_primes A bit of problems with my computer earlier on, but getting to it right now, and also the interesting fact that while these numbers are not any Mersenne primes, they are not only just Genefer numbers either, adding to a bit of confusion. Before the problems started, I had a quite good summary of this, but now it is mostly gone. It could be mentioned at PrimeGrid as well, but right now, search for record Proth primes may not be part of the regular PPS LLR search, and one reason for this is that you still may need sieving. Again that the page above is lacking a couple of details, and while still getting ready for the weekend, it could be a starting point here. And of course forgetting the Woodall and Cullen numbers here, when next posting, because also the Riesel numbers as well, except for still smaller. Almost forgetting Prime Sierpinski as well, for also the Seventeen or Bust project, but right now the Force is not with me, for that of Proth listings. Again, perhaps the cup of coffee needed, because I was thinking of a large prime here, and for this, primes.utm.edu, as a possible source. If I find something, for that of listings, I will have it posted here. Curiosity killed the cat, because the P97 mentioned above divides with the C1133 Fermat, with 2*2*61*97 * PRP1033 I will report immediately here. http://factordb.com/index.php?id=1100000001157824179 I better should add a bit of air at the bottom, because in the previous factoring session, I made it that of C109 for next P50, P59, and also a C108. Also that it became RSA100 as well, and this time not by me, and therefore such a thing only loose factors here, in that it still could be a bit hard to make, or come up with. If still a prime factor at the other end, like also a P126 earlier on, sometimes still a bit too hard, for also that of difficulty, except for still not the factors themselves. If still hard to catch up with, for some people, next that sieving still could be a means, when next also doing so for large numbers, for also making it that of a primality test. Any such factors in order of each other, and next also due as well, and next also the reminder as well. â€¦ http://factordb.com/index.php?id=1100000001157862530 http://factordb.com/index.php?id=1100000001157864151 Here only the first beer of the evening, but also luck striking as well, for that of a better one. Ouch, that of a a surfing board, for that of a tray, or tablet. Titanic prime Jubalong, for next also a bit of cheerio as well, because not my first here. Again, or anyway, generosity appreciated here, for next both science, and also numbers, but also musicplayer and bluestar with Seti@home, if you did not know, and exceopt for the guitar, of course, why not bring it altogehgther, for next also science, in a single piece, and here the one thing I could be thinking about. Is it not the fact that sometimes Religion could be contradicting on its own, for that of meaning? Except for perhaps still not any science either, for perhaps much of the same, next for also a bit of stuff. We perhaps know where it should go now, for next also working, and next also "phew" as well. Oh, roundabouts perhaps, but next also science for both you and me, except for still not any peanuts, of course. Next, only my way of thinking right now, except for also getting back, or relocating the Primei95 client, down the list, for that of running. But next, perhaps not worth it either. So it goes, like also a long task with PrimeGrid, which for now is inconclusive only, for that of result. Getting back at it, of course, but not any easy either. Oh, if you do not mimd, flips around, for only composites, or composite numbers only, when perhaps also a hero. Thnking here, next dang, or dangit, why not a P97, multiplied with a P40 of sorts. But next, how, or where does it next relate, or match, for perhaps only a composite number for such Do you have, or perhaps make it the final answer, only by such a thing as tria division (and next also algoriithm)? Or perhaps still only the primality of a given number here? Hmm, suckers, or maybe even for starters. but if rather such a thing as being proud, why not still only for starters here, or for such a thing? Oh, goof in the mountains, for next also a bit of fools, but am I perhaps here, only to ask questions, rather than give, or perhaps provide a couple of answers? Gigantic prime Oh, you know that it sometimes does not work, for also most of the time as well (or mostly). If ending up with some ..37, for that of a number, next any composite, for that of a prime. eh? Guess it is the whole problem, for that of matter of fact, except for not any core of the problem either. So it goes. Edit: That factor (not P97) and looking for it, but mentioned before, or previously, for also that of a little before. Need a bit of help here, because not finding it right now. Thanks, or at least suggestions welcome. Edit2: In the small hours of the morning, perhaps not any "piolter, or pjolter, for that of a drink", (needs checking) when it could be still only science. Really, not any best thing of just throwing out any users either, for next both good and bad, but sometimes in the way (for that of posting). So perhaps not any balancing act either, next perhaps one such for science, and next "all over". except for "so it goes either". Really, capital science, could next make it for capitol blunders as well, except for still not any science either. Guess what, but there could be scientists around, making no difference for that of the heap versus stack, and still think it could be science (Seti@home). Or perhaps only the needle in the haystack here, for perhaps only a right to know (gulp). Except for still perhaps not knowing either, for next a bit of nature, and also a bit of Comprehension sometimes around as well (not Religion). Read my lips, for next also someone's lips. and next perhaps not any "comprehensive" answer either, but getting back at it. Edit: Keying in "so it goes" and next only a flat buffer, for also end of page as well. Not any funny, and getting back to it. Last fiddled with by storflyt32 on 20180713 at 02:13 
20180714, 21:33  #291 
Feb 2013
111001010_{2} Posts 
http://factordb.com/index.php?id=1100000001158048244
Perhaps not making each post too long either, so better a new one. Here a bad example above, for that of a composite number, but next also one such for loose factors as well, where it possibly slipped away, or at least may have to be looking for it. Here it says that some 219616 relations are needed for the SIQS, and next not for any starters either. If for some reason the SIQS blows, I could revert to looking up the factors, but for now, roughly 133600 in the sequence, and still a bit of way to go. Still the problem with the line width here, which apparently is past, or beyond my control, and not my poor hands. Last fiddled with by storflyt32 on 20180714 at 21:35 
20180714, 22:49  #292  
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
10010110001111_{2} Posts 
Quote:
Using siqs on this number is like skateboarding from New York to Chicago. Yes, you probably can skateboard. But what you really need is a car or a bus. Read 1 Corinthians 13:11 "When I was a child, I spoke as a child, I understood as a child, I thought as a child; but when I became a man, I put away childish things" Last fiddled with by Batalov on 20180727 at 05:55 

20180727, 04:35  #293 
Feb 2013
2·229 Posts 
Serge (Batalov), borking here on the individual factors here, if you will.
Next feel any happy for such a thing? Forgot the number here, but a P60 or so, with, or multiplied with another factor, less than P70, and next a fliparound, for that also, or yet another factor on the opposite side. But next only for that of this, and next also that, and perhaps not the other thing either. So, testing one pair of factors, for also that of a set, and next also possible primality the other way as well, correct? Or still testing only, for that of testing, testing, testing, except for no such thing as any multiplication, or division either. Still correct perhaps, for next also an assumption, for next also that of a guess. If you like, or perhaps do not mind, I could make it even bigger here as well, but next you never know, at least for that of only numbers. Because here it becomes that of testing primality, for that of a number, when next only with respect to another composite factor. Am I right, or am I wrong, except for still primality only easier, for next also on the spot as well, except for still not any way, for that of proven Method either. Something is wrong here, for that of the line width, and also mentioned before. Edit: Science_man_88 (forgot your name, for that of a couple of nice words). Any mimimum credit gap, or cap, set on possible factors here, for that of size, when it comes to at least FDB, and not the other place either, which, or where I perhaps do not belong? A recent one here, for that of the following. ***factors found*** P1 = 2 P1 = 2 P2 = 19 P4 = 1283 P13 = 2932662822179 P23 = 24508574656694406450239 P31 = 5534575672009116035507063629643 P110 = 10742588793897852108083237854879149526190331959284822968441347650894120919593866581289879609680602125718436809 ans = 1 http://factordb.com/index.php?id=1100000001160246037 Edit: But here a bit nice. Once again, for a bit screwed up, but also getting quite hot in here. Number multiply, and next also a product of sorts, which could be only composite, except for the possible flip around, where it could be that of BIT LENGTH, for such a thing. Oh, shout, except for perhaps not any important either. Any suggestions welcome. http://factordb.com/index.php?id=1100000001160316232 Total factoring time = 96028.9981 seconds Here Pandora's box again, for that of breaking it a little open again. Flips around with the same P41 factor, but for now only manually here, and a P114 at the end, from memory recall. Last fiddled with by storflyt32 on 20180728 at 01:20 
20180728, 16:23  #294  
"Nuri, the dragon :P"
Jul 2016
Good old Germany
2^{2}·211 Posts 
Quote:
Why not using NFS? I got a good poly for that number. Code:
# norm 2.021853e010 alpha 6.277259 e 1.034e009 rroots 3 

20180728, 22:56  #295 
"Nuri, the dragon :P"
Jul 2016
Good old Germany
2^{2}×211 Posts 

20180803, 01:14  #296 
Feb 2013
2·229 Posts 
Bow my hat, for next also a big thank you here.
Great, man, and next also for that of science as well, except not any numbers either.  http://factordb.com/index.php?id=1100000001161531951 Edit: Found this, only because I am a bit stupid, But what next about primality a question, or perhaps issue. Should I stil only add or subtract here, or could I perhaps rather be a hero? Except for not being mine this time either. http://factordb.com/index.php?id=1100000001161531951 Same here, for perhaps not being the same factor either, because needs checking. Except for that of "toast", for next also bread and butter, really a quite pretty one here, if not any beautiful either. Or perhaps rather only the common sense, for also thought, of next bringing all together, and perhaps the rest you already know. I still do have the double line problem here, if you happen to know. http://factordb.com/index.php?id=1100000001163626695 http://factordb.com/index.php?id=1100000001163626742 Stick around, for next keeping up to practice, but always the factor, of course. Ouch, try factoring, for only that of starters. A couple of C96 here, or the like (editing like blind, because more concerned about the number). If you will, or mind, I possibly could be adding manually here. http://factordb.com/index.php?id=1100000001165172834 Example here, for this. http://factordb.com/index.php?id=1100000001165412463 Edit: For starters, but adding from the P16 here, and what about that, for this one only? http://factordb.com/index.php?id=1100000001165415621 Not any direct hit here, by means of SIQS, or NFS, but only because I could be shrewd, for also a nerd. But next, dangit, or a bit, for that of the rest, because I could be looking for it, for also the better of it. So it goes. Edit: The problem here is that you could "think" that a prime number is something less, for also in that between. http://factordb.com/index.php?id=1100000001165403616 Adding the P14 here, for still that of bonkers, for also same old story, meaning still work to do. https://en.wikipedia.org/wiki/Reciprocal Is this perhaps the answer here? http://factordb.com/index.php?id=1100000001165430473 Or perhaps only the admin here, for that of still pretty fine, and also nice. The blanks here /or blank lines) not my responsibility either, for only mentioning this, for next also a fact. Any lookup here, for also that of a warrant. Leaving it to you, for perhaps the biggest, and also best, but if a P107 ended up as a factor, for the almost similar one, if not any akin either, perhaps only a troll of myself, except for not any idiot either, when making a possible mistake? Shut your mouth, except for perhaps not any PrimeGrid instead, for only that of exempt, but is perhaps fewer factors better than perhaps still more, for next also anymore (except for not any adding either). But rather glance, for also that of a look, except for not any stance either, for that of a Bonanza of sorts, when perhaps making it only 2*2 â€¦, and so on, or perhaps the like, Out the door, next sleet for that of snow, next on the ground, and you will have to push the car, except for not being dragged around either. Is making it that of a factor, also possible Determinism as well, except for perhaps not any single thing either, when only a possible lookover, except for not any sleek, or slim, when only a possible Lovejoy, for next only a Dreadnought, or even a silly boy? 1238926361552897 (prime) 1256132134125569 (prime) 59649589127497217 (prime) 2663848877152141313 (prime) 3603109844542291969 (prime) 167988556341760475137 (prime) 3560841906445833920513 (prime) 5704689200685129054721 (prime) 188981757975021318420037633 (prime) 319546020820551643220672513 (prime) 4659775785220018543264560743076778192897 (prime) 7455602825647884208337395736200454918783366342657 (prime) 7751061099802522589358967058392886922693580423169 (prime) 17353230210429594579133099699123162989482444520899 (prime) 116928085873074369829035993834596371340386703423373313 (prime) 568630647535356955169033410940867804839360742060818433 (prime) 93461639715357977769163558199606896584051237541638188580280321 (prime) 741640062627530801524787141901937474059940781097519023905821316144415759504705008092818711693940737 (prime) Fermat factors above, and I need to add the space in between, because losing it here, for also becoming vanished. But next seeing is believing perhaps, except for not here either, for only a Method, except for perhaps not any call either, and we therefore have to add, rather than substitute. Except for not making it any multiplication either, when only a possible dividend, and it could be still only that of factors here, for only a way of choosing, except for not any Method either, for coming up with such a thing as number analysis, for next also that of Theory. Because here perhaps still not any blank check either, for only that of balancing (need checking, except for not any tongue in check either). Last fiddled with by storflyt32 on 20180901 at 04:07 
20180901, 21:32  #297 
Feb 2013
2·229 Posts 
http://factordb.com/index.php?id=1100000001165677818
http://factordb.com/index.php?id=1100000001165678134 Making the first one here that of P106 = 7379727457420187118651982598194739412810702391858084273357271862986100809755702002352568015791779821060221 but If I next twist the latter a little, and ending up with perhaps P154 = 27037221553801049330242881020595983719380758157023402925995199118248470238034664827242000715323846250176980546496 11581910378018172218789272137243610236293 here it jumped a little on me, in a sense of being pretty nice again, for only that of looking. Still problem here, with that of the line wrap, because a bit too much spacing at times. Edit: http://factordb.com/index.php?id=1100000001167544004 http://factordb.com/index.php?id=1100000001167544116 Tbe same "fake" problem for the first perhaps, namely only just loose factors. The same more valid for the second one, because here taking a little while. The rest could perhaps be in by tomorrow, or even later, because again important, for also stressing that, namely the first one being only one for such, but rather needs a bit more, by that of only being fake. Same for that of my eyes as well, for only being nearsighted. Last fiddled with by storflyt32 on 20180913 at 21:05 
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