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Old 2010-09-26, 21:59   #1
firejuggler
 
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M77224867 as a factor; 39977700267067630681
(this is my first find)

Last fiddled with by firejuggler on 2010-09-26 at 22:16
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Old 2010-09-26, 23:09   #2
Rhyled
 
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Quote:
Originally Posted by firejuggler View Post
M77224867 as a factor; 39977700267067630681
(this is my first find)
M74598451 has a factor: 503061816963520412903

I know how you feel. After my first two months of "No Factor Found" and "M4xxxxxxxx is not prime", I was thrilled to get my first "success" by finding a factor. Then nothing for another month, followed by 5 in one week.
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Old 2010-09-27, 01:31   #3
ckdo
 
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M90283087 has a factor: 2751173282304003942331209643538752923223
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Old 2010-09-27, 12:11   #4
alpertron
 
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2751173282304003942331209643538752923223 = 38558349368410981273 x 71350909138188087151
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Old 2010-09-28, 12:57   #5
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My latest factors by P-1 & TF:
M3060583 has a factor: 1691625283125322626439
M4494167 has a factor: 4090602041154466841
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Old 2010-09-28, 13:48   #6
alpertron
 
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My computer found the following results:

M120247 has a factor: 3250729890896242123679136285673
M200699 has a factor: 2560666376539295663544430207
M200723 has a factor: 88198734084915533896490498039
M244399 has a factor: 83084225896273645625002009
M253367 has a factor: 428118424378877527039271
M332273 has a factor: 32421566974480515508133113
M334177 has a factor: 699159963919259251767503
M334297 has a factor: 776286699004616614664844151
M334331 has a factor: 531598022680052134178237519
M334421 has a factor: 881767740830242233411702927457
M335953 has a factor: 300256724398460836714288247
M666269 has a factor: 599492540010920523991
M999631 has a factor: 182642107636183257011857

I think that at this time there are no more prime factors with less than 64 bits of unfactored Mersenne numbers with the exponent in the range 0 - 1M.

Last fiddled with by alpertron on 2010-09-28 at 13:48
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Old 2010-09-28, 22:50   #7
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Quote:
Originally Posted by ckdo View Post
M90283087 has a factor: 2751173282304003942331209643538752923223
Aww, you beat my largest factor...
M52884527 has a factor: 2627817767922406323172685733372671873

Mine is from P-1. I have two P-1 factors (this being the larger) and a handful of TF, of course none as large as these. I didn't realize P-1 work was being done up in the M90XXXXXX range; all of my work has been assigned by Primenet thus far. I'm considering branching out into LMH/etc but for now, sticking with the assignments I get.
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Old 2010-09-29, 00:31   #8
Uncwilly
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The following exponents have the indicated 58 bit factors:
Code:
M( 3321933281 )C: 247169243036792441
M( 3321941023 )C: 257335941907083329
M( 3321941533 )C: 207520199336703217
M( 3321946711 )C: 173831252702387009
M( 3321947353 )C: 211195002096122687
M( 3321947791 )C: 192945856601239487
M( 3321952147 )C: 207085766384122673
M( 3321956731 )C: 284053769851732609
M( 3321958399 )C: 265055977878815729
M( 3321961451 )C: 265406974016828759
M( 3321964949 )C: 173958707488043393
M( 3321968057 )C: 234572555796081983
M( 3321968747 )C: 174438837843717961
M( 3321968813 )C: 162031473823121369
M( 3321970529 )C: 152471776764277769
M( 3321970957 )C: 158899298626885967
M( 3321971503 )C: 171795762921588007
M( 3321971773 )C: 220839634071945041
M( 3321973117 )C: 174763311823447463
M( 3321976067 )C: 151279820244576103
M( 3321979051 )C: 184733188755140279
M( 3321979807 )C: 191218393131095833
M( 3321980647 )C: 202327417168800727
M( 3321982369 )C: 176546613477245503
M( 3321987131 )C: 224007146605813033
M( 3321988843 )C: 228460833239381959
M( 3321989947 )C: 217502541334200791
M( 3321990323 )C: 169528687168781273
M( 3321991681 )C: 203087935003009591
M( 3321992761 )C: 228369329317261481
M( 3321992809 )C: 220645639540210559
M( 3321994223 )C: 246531602737680391
M( 3321997027 )C: 241807984207490543
M( 3321998689 )C: 170234620254279583
M( 3321999797 )C: 203984361226970543
M( 3321999929 )C: 217315342439391439
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Old 2010-10-06, 18:22   #9
lorgix
 
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M433494449 has a factor: 3656480526134520654607
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Old 2010-10-08, 02:17   #10
Rhyled
 
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M5308217 has a factor: 19389284433827290601
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Old 2010-10-11, 15:11   #11
lorgix
 
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Funny example;

M2371703 has a factor: 172106762886153056494817

The funny part is that k=
2*2*2*2*1049*1811*34469*34631, so 2kp+1 could have been found with B2= 34631
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