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#1090 |
Mar 2008
5·11 Posts |
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#1091 |
Sep 2005
Berlin
4216 Posts |
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495624278663291943737938064282715305190949183258411 | 9^233 + 2^233
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#1092 |
Mar 2008
5·11 Posts |
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#1093 |
Bamboozled!
"πΊππ·π·π"
May 2003
Down not across
3×3,529 Posts |
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#1094 |
Mar 2008
5×11 Posts |
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Need to yank the server for a bit to clear out a lot of deadwood. Will get it back up ASAP, and will let everyone know when done.
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#1095 | |
Mar 2008
3716 Posts |
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Paul, when you get a chance past all of your personal stuff, let me know and we'll get passwords set up again. Server is back up and running though. |
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#1096 |
Bamboozled!
"πΊππ·π·π"
May 2003
Down not across
3·3,529 Posts |
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Here's the latest update for the last few weeks. Eighteen new factors found and there are now 449 composites remaining.
Code:
7-5 265 C136 58533493203446119589396782586974563479438080167874214853541. P77 Unknown GNFS 2013-05-09 5+2 307 C214 6407353086277777652399733388270061835863493178699. C165 R Silverman ECM 2013-05-13 6-5 281 C148 174411124709711122122052463559928207762546186017037753189339469. P86 R Smith SNFS 2013-05-20 11-10 233 C183 24689926211177382882414171151408602529756318572471795598614533. C122 C de Pinho SNFS 2013-05-23 11-10 233 C122 88680330182541850480754337763194842503765328802828616713150783780283. P54 C de Pinho SNFS 2013-05-23 10+7 229 C216 8222629734581770525577539619884557690421781678677. P167 R Silverman ECM 2013-05-24 9+2 227 C216 1175492860741028461783713200517266747839543925298923. P165 R Silverman ECM 2013-05-28 5+3 340 C153 98791122680039239831742380955622914672868868727087195646721. P94 R Smith SNFS 2013-05-28 7-2 293 C244 10124135188065063620366333093117197358636030962561274957. C189 R Silverman ECM 2013-06-01 7-5 299 C217 2018802274855918978636772505695793947719815972980004249705467334064692713. P144 T Womack SNFS 2013-06-03 7-2 275 C170 32570669832052827523225787771735931300821223266735367116346751. P108 R Smith SNFS 2013-06-05 5-2 335 C162 2397674535615197993731012806027037915152774367831. P114 S Wellman SNFS 2013-06-13 5+4 335 C172 917986902601301712136968299212558798807596200550366269970918821. P109 R Smith SNFS 2013-06-14 12+5 220 C155 11350784207447115117264924514877204063623568787550746380115549896336064281. P82 S Wellman SNFS 2013-06-17 9+2 233 C177 495624278663291943737938064282715305190949183258411. P126 K SchΓΆnberger ECM 2013-06-18 5+4 353 C163 6308279969740266545182995420945321876538217498059870874909962787859414241. P91 T Womack GNFS 2013-06-24 11+4 233 C223 6363885746056915191747489536789626023295979011459. P174 R Silverman ECM 2013-06-25 10-3 235 C161 18462830892737244150429224234661620448176795486860017381725965460981. P94 R Smith SNFS 2013-06-25 The new tables will be uploaded to the web in the next few minutes. Paul |
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#1097 |
Nov 2003
22·5·373 Posts |
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I just found one more. I finished 9^251 + 5^251.
However, the following is much more important. There is a conjecture that the Mersenne numbers are squarefree. This is not true of the Homogenous Cunninghams. I just found that 269^2 divides 13^134 + 3^134. |
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#1098 |
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
3×3,109 Posts |
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Well, but scores of them are divisible by p^2... with large primes, too, e.g.
653^2 | 7^163+10^163 383^2 | 3^191+5^191 4937^2 | 2^617+11^617 Interestingly (and your example fits this), many examples for (2p+1)^2 | a^p+b^p Some more: 863^2 | 1+13^431 887^2 | 9^443+10^443 Last fiddled with by Batalov on 2013-07-03 at 00:22 |
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#1099 |
Bamboozled!
"πΊππ·π·π"
May 2003
Down not across
3·3,529 Posts |
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Below are the 18 factors found in the last couple of months. As you see, Bob is the only person to have had success with ECM but several have completed factorizations with NFS. There are now 431 composites left in the tables, which should hit the web later today.
Code:
9+5 251 C236 493949475481744080962535715102489322892817263587. P188 R Silverman ECM 2013-07-02 8+3 278 C224 540683700879085344833485581122249484670259752780976593. P170 R Silverman ECM 2013-07-03 4-3 395 C163 74631677623817121595305206578925143535274523726396180780610714626410121. P93 R Smith SNFS 2013-07-09 7+2 256 C217 304650242992653314452265203352904992005844273333343329385830106948028759018183626185266072912178177. P118 T Womack SNFS 2013-07-13 10-3 209 C168 493821714766471403715337972884740820165164156985452281812967. P108 J Becker SNFS 2013-07-16 8+5 274 C149 124864238132726331540887489942976465035987629663501. P99 S Wellman GNFS 2013-07-22 11+10 230 C184 22361008720555284925462006595715661056900966761251221478291788842840743520507881. P105 R Smith SNFS 2013-07-23 11-5 239 C236 337658593869603229027497637326531408884119867263776668063109744457594459924273218212823118715542028843686139. P128 T Womack SNFS 2013-08-06 5+4 322 C153 1824373071483990895588872191483812542338539028322315481. P98 J Becker SNFS 2013-08-14 7+4 229 C165 2261474276449893273007013116135434285277323020662957309820016737. P102 J Becker SNFS 2013-08-15 11-2 217 C151 7033703346342170657616033596547711323343681261485133415131583. P90 J Becker SNFS 2013-08-16 11-5 217 C151 27657989559515136499113503781151527469778092536405505173509374506960643. P81 J Becker SNFS 2013-08-16 11+4 217 C157 2260596548190313631952714867997379235470097716889892589065541233769801. P87 J Becker SNFS 2013-08-17 11-10 217 C164 680114027489223992978046994238644768543707813400101075230843662159476043. P92 J Becker SNFS 2013-08-18 9+7 238 C169 257516974359651821895137348302059566325065445333434675913818497129. P104 J Becker SNFS 2013-08-18 6-5 269 C210 49217826905573370187001540044915361847133694926923249525947. P151 J Becker SNFS 2013-08-19 7+3 232 C180 1437704686614623810577294674128524838465677068781178449781182383201. P113 J Becker SNFS 2013-08-20 7+6 232 C187 1591652026369631465139881487806481100871079819371380309751232974347969. P118 J Becker SNFS 2013-08-20 |
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#1100 |
Romulan Interpreter
Jun 2011
Thailand
5×17×109 Posts |
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Did anyone "put a name to unknown"? (no, it is not me, nor anybody I know, I am just curious).
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