is 2 675097 - 1
has 203225 decimal digits
takes 0.013 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L30B1741EF97640EAdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26744.014370.1493%12500000125000000.36205.1657%44.376371.6913%1.5420%
PrimeNet2400.000050.0000%65002400000.000621.1554%0.000660.5777%10.5777%
GPU722440.000054.5455%110004000000.000916.0290%0.000961.8314%7.2859%
Difference+23+44.0143+15.6038%+12489000+12100000+0.3611-10.8632%+44.3754+9.8599%+9.8599%

Known prime factors (1 factor, 91.8 bits, 0.01359617% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
67509742731388590039888040697943272891.7873164833245447682928579
127 × 173 × 15233 × 1532579 × 6170107
2015-07-09153257961701071.399e+90.05170.0903

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-12-07T00:00:00Alex Kruppav4_computers1000004000000---0.009--2.614%
2002-05-11T00:00:00ANONYMOUSv4_computers163841638400---0.003--1.231%
2002-07-06T00:00:00ANONYMOUSv4_computers327683276800---0.006--1.854%
2002-10-19T00:00:00ANONYMOUSv4_computers655366553600---0.012--2.616%
2003-06-17T00:00:00ANONYMOUSv4_computers13107213107200---0.024--3.506%
2011-07-15T20:51:00Jocelyn LaroucheManual testing331760331760---0.010--1.420%
2011-09-11T15:19:00Jocelyn LaroucheManual testing552934552934---0.016--1.794%
2012-08-11T13:19:00Jocelyn LaroucheManual testing13501941350194---0.039--2.570%
2015-02-20T16:55:00Jocelyn LaroucheManual testing14501941450194---0.042--2.639%
2015-03-29T20:50:00Jocelyn LaroucheManual testing15952131595213---0.046--2.732%
2015-04-08T16:59:00Jocelyn LaroucheManual testing17547341754734---0.051--2.828%
2015-05-01T17:21:00Jocelyn LaroucheManual testing21232272123227---0.061--3.023%
2015-05-22T00:28:00Jocelyn LaroucheManual testing23355492335549---0.068--3.124%
2015-06-08T13:42:00Jocelyn LaroucheManual testing25691032569103---0.074--3.226%
2015-06-25T21:14:00Jocelyn LaroucheManual testing28260132826013---0.082--3.330%
2015-07-07T18:13:00Jocelyn LaroucheManual testing31086143108614---0.090--3.435%
2015-07-09T04:44:00mikrMSI12500000125000002891.7870.3620.0270.7245.166%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-04-08T00:00:00ANONYMOUSv4_computers21256--0.014--
2002-01-02T00:00:00ANONYMOUSv4_computers21257--0.028--
2003-10-14T00:00:00ANONYMOUSv4_computers21258--0.057--
2008-10-15T20:59:00Sturle Sundegerle.ifi258259--0.057--
2008-10-15T21:34:00Sturle Sundegerle.ifi259260--0.114--
2010-08-12T00:35:00Architects Cubedm1_sa260261--0.228--
2015-05-24T22:58:00lycornManual testing261262--0.455--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.264 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000325 / 1003.2503.815%
2550000325 / 2801.16131.261%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:11.264 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100012.7310.000%
25500001.34925.941%
302500000.10889.793%
3510000000.00799.295%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002816.318
25000025000000444.946


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-10-12T00:00:00ANONYMOUSv4_computers30B1741EF97640EA0.013
2015-04-11T15:44:00MadPooManual testing30B1741EF97640EA0.013


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T14:47:24Oliver KruseGTX-2
4273138859003988804069794327
3F0D5514584DCA__no
2017-09-28T09:44:50Oliver KruseManual testing
4273138859003988804069794327
3F0D5514584DCA__no
2017-11-09T00:20:42kkmrkkblmbrbkc4.large
4273138859003988804069794327
3F0D5514584DCA__no
2020-04-20T02:16:47Oliver KruseAddPrpType5
4273138859003988804069794327
1B4F5199AE3F92__no


P-1 factor-bounds graph:
B1 = 12500000 (P-1 stage 1)
B1 = 3108614 (P-1 stage 1)
B1 = 2826013 (P-1 stage 1)
B1 = 2569103 (P-1 stage 1)
B1 = 2335549 (P-1 stage 1)
B1 = 2123227 (P-1 stage 1)
B1 = 1754734 (P-1 stage 1)
B1 = 1595213 (P-1 stage 1)
B1 = 1450194 (P-1 stage 1)
B1 = 1350194 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 552934 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 331760 (P-1 stage 1)
B1 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
103
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108
TF factor-bounds graph:
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262
261
260
259
258
257
256
250
260
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290
2100
Last modified: 2020-04-20T02:16:47+00:00