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Old 2008-02-13, 23:09   #1
Zeta-Flux
 
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Default Wieferich related composites

Hey, does anyone know if work is being done to finish the factorization of 2^{3510}-1? There are only two composites left. Link: http://home.att.net/~numericana/data/wieferich.htm
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Old 2008-02-13, 23:36   #2
rogue
 
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Quote:
Originally Posted by Zeta-Flux View Post
Hey, does anyone know if work is being done to finish the factorization of 2^{3510}-1? There are only two composites left. Link: http://home.att.net/~numericana/data/wieferich.htm
I don't know personally, but I suggest that you add this to the "Links to Factoring Projects" thread.
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Old 2008-02-14, 09:12   #3
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Originally Posted by rogue View Post
I don't know personally, but I suggest that you add this to the "Links to Factoring Projects" thread.
Make sure you check out Joe K. Crump's page http://www.immortaltheory.com/Number.../Wieferich.htm He reports some ECM curves done on both these composites from 2001. Looks like you'll have to start at 11e6 for the c183 and 43e6 for the c209.....
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Old 2020-03-09, 08:55   #4
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Yes, in the meantime 2^3510-1 was completely factored.

2^3510-1<1057> = 3^4 · 7 · 11 · 19 · 31 · 73 · 79 · 131 · 151 · 271 · 331 · 631 · 811 · 937 · 1171 · 2731 · 3511^2 · 6553 · 8191 · 10531 · 15121 · 23311 · 65521 · 86113 · 87211 · 107251 · 121369 · 262657 · 348031 · 409891 · 446473 · 1024921 · 1969111 · 4633201 · 7623851 · 18837001 · 22366891 · 29121769 · 409251961 · 2400314671<10> · 7830118297<10> · 26959262851<11> · 21497866557571<14> · 49971617830801<14> · 145295143558111<15> · 385838642647891<15> · 571890896913727<15> · 93715008807883087<17> · 194900834792501371<18> · 339175003117573351<18> · 4242734772486358591<19> · 85488365519409100951<20> · 150832426800173710177<21> · 255375215316698521591<21> · 1439538040790707946401<22> · 5302306226370307681801<22> · 571403921126076957182161<24> · 4247713303224552237738169<25> · 43725552532343303477113703251<29> · 134304196845099262572814573351<30> · 2728334536034592865339299805712535332071<40> · 4897406518564079146139572699835240681611<40> · 24841125429051585062538961751269988364169<41> · 1514527568...91<58> · 5597910681...51<63> · 6566403207...01<126> · 2500659682...81<146>
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