is 2 93103 - 1
has 28027 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L285EE1C544BD9A5Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267319.151074.6269%300000000023757507128355041,716.763631.4985%42,035.914682.6190%7.9921%
PrimeNet2400.000057.5000%1000160000.00007.4499%0.000060.6662%3.1662%
GPU722440.000061.3636%1000120000.00003.4023%0.000062.6781%1.3145%
Difference+23+319.1510+13.2632%+2999999000+237575071271550+41,716.7636+28.0962%+42,035.9146+19.9409%+6.6776%

Known prime factors (1 factor, 135.4 bits, 0.14546758% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
931035887081577322526581901804211991312467767941135.435316159606958021040240475828490559513
3 × 13 × 43 × 79 × 398963891 × 472201237 × 12667342636733
2022-07-25472201237126673426367331.894e+122,225.34,153.5

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-06T00:00:00ANONYMOUSv4_computers10000010000000---0.002--2.331%
2001-08-18T00:00:00Alex Kruppav4_computers1000000100000000---0.021--5.413%
2002-05-25T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.296%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.296%
2002-07-20T00:00:00ANONYMOUSv4_computers655366553600---0.001--1.900%
2003-02-02T00:00:00ANONYMOUSv4_computers13107213107200---0.003--2.631%
2003-05-11T00:00:00ANONYMOUSv4_computers1048576104857600---0.022--5.488%
2003-06-23T00:00:00ANONYMOUSv4_computers2097152209715200---0.043--6.633%
2003-09-09T00:00:00ANONYMOUSv4_computers4194304419430400---0.086--7.861%
2003-12-23T00:00:00ANONYMOUSv4_computers8388608838860800---0.173--9.159%
2004-01-27T00:00:00ANONYMOUSv4_computers167772161677721600---0.346--10.504%
2012-08-29T12:35:00LaurVpinch1000000002000000000---0.656--11.662%
2022-07-09T21:12:44George WoltmanSkylakeX30000000003000000000---9.67--12.539%
2022-07-25T12:10:43George WoltmanSkylakeX300000000023757507128355041135.43541,7170.00083,43431.498%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-11-10T16:01:21lycornsupernova100000000810000000027--1.866
2021-11-11T03:18:35lycornsupernova100000000810000000065--1.866


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-10-29T00:00:00ANONYMOUSv4_computers252253--0.006--
2000-04-12T00:00:00ANONYMOUSv4_computers21254--0.026--
2000-12-07T00:00:00ANONYMOUSv4_computers21256--0.103--
2002-08-03T00:00:00ANONYMOUSv4_computers21257--0.206--
2016-02-23T04:50:54LaurVManual testing257258--0.206--
2016-02-23T04:50:36LaurVManual testing258259--0.412--
2009-01-12T23:27:00Sturle Sundeiago.ifi259260--0.825--
2013-10-13T21:14:00lycornasteroid260261--1.650--
2014-10-04T15:32:00Sid & AndyBuzz261262--3.299--
2016-04-03T09:32:03snme2pm1G4262263--10.54--
2017-01-14T12:28:21snme2pm1G1263264--21.09--
2018-09-11T05:07:58YxinityManual testing264265--40.13--
2018-09-11T03:50:19YxinityYGSMainFrame264265--40.13--
2020-02-15T02:35:33YxinityManual testing265266--80.26--
2020-02-13T09:01:51YxinityYGSMainFrame265266--80.26--


ECM factoring results:
Total ECM effort:159.235 GHz-days
Estimated T-Level:36.186
DigitsB1CompleteFacMiss
2011000405.1670.000%
255000088.0760.000%
3025000014.9400.000%
3510000002.06412.700%
4030000000.23778.877%
45110000000.02497.668%
50440000000.00299.793%


ECM Summary

B1B2factorcurvesGHz-days
10000100000150.005
10000001000000001,76782.00
300000030000000054275.46
3000000447000000111.775


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11T05:59:00MadPooManual testing285EE1C544BD9A5D0.000


PRP results:
dateuseridcompidcofactorsres64PRP
2022-07-25T14:05:00mnd9office2
58870815773225265819018042119913124677679
3CD54C2C9859D291no
2022-07-25T21:34:54George Woltmanx64-debug
58870815773225265819018042119913124677679
3CD54C2C9859D291no


P-1 factor-bounds graph:
B1 = 3000000000, B2 = 237575071283550 (P-1 stage 2)
B1 = 3000000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 16777216, B2 = 1677721600 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 8388608, B2 = 838860800 (P-1 stage 2)
B1 = 4194304, B2 = 419430400 (P-1 stage 2)
B1 = 16777216 (P-1 stage 1)
B1 = 2097152, B2 = 209715200 (P-1 stage 2)
B1 = 8388608 (P-1 stage 1)
B1 = 1048576, B2 = 104857600 (P-1 stage 2)
B1 = 1000000, B2 = 100000000 (P-1 stage 2)
B1 = 4194304 (P-1 stage 1)
B1 = 2097152 (P-1 stage 1)
B1 = 1048576 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
103
104
105
106
107
108
109
1010
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
TF factor-bounds graph:
267
266
265
264
263
262
261
260
259
258
257
256
254
253
250
260
270
280
290
2100
2110
2120
2130
2140
Last modified: 2022-07-25T21:34:54+00:00