is 2 672863 - 1
has 202552 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-LEDBCC0B11AB9DDEEdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26744.160470.1493%131072131072000.02433.5046%44.184771.1954%1.0462%
PrimeNet2400.000050.0000%65002400000.000621.1477%0.000660.5739%10.5739%
GPU722440.000054.5455%110004000000.000916.0228%0.000961.8285%7.2831%
Difference+23+44.1604+15.6038%+120072+12707200+0.0233-12.5182%+44.1838+9.3669%+9.3669%

Known prime factors (1 factor, 96.8 bits, 0.01438994% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
6728631403127467169434170212382376713096.825104265464676273934680045
3 × 5 × 72 × 37 × 67 × 211 × 5081717 × 53368339
2015-06-035081717533683393.306e+100.22340.2995

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-02T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.193%
2002-01-28T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.416%
2002-03-10T00:00:00ANONYMOUSv4_computers8192819200---0.002--0.754%
2002-05-05T00:00:00ANONYMOUSv4_computers163841638400---0.003--1.231%
2002-07-06T00:00:00ANONYMOUSv4_computers327683276800---0.006--1.853%
2002-10-19T00:00:00ANONYMOUSv4_computers655366553600---0.012--2.615%
2003-06-09T00:00:00ANONYMOUSv4_computers13107213107200---0.024--3.505%
2011-07-15T20:51:00Jocelyn LaroucheManual testing333189333189---0.010--1.422%
2011-09-11T15:19:00Jocelyn LaroucheManual testing555316555316---0.016--1.796%
2012-06-19T02:42:00Jocelyn LaroucheManual testing672883672883---0.019--1.950%
2012-08-11T13:19:00Jocelyn LaroucheManual testing13457261345726---0.039--2.566%
2015-02-20T16:55:00Jocelyn LaroucheManual testing14457261445726---0.042--2.635%
2015-03-29T20:50:00Jocelyn LaroucheManual testing15902981590298---0.046--2.728%
2015-04-08T16:59:00Jocelyn LaroucheManual testing17493271749327---0.051--2.823%
2015-05-01T17:21:00Jocelyn LaroucheManual testing21166842116684---0.061--3.019%
2015-05-22T00:28:00Jocelyn LaroucheManual testing23283522328352---0.067--3.119%
2015-06-03T07:57:00mikrNWY131072131072003096.8250.0240.0270.0493.505%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-02-09T00:00:00ANONYMOUSv4_computers253254--0.002--
2022-03-07T09:02:42LordJuliusManual testing254255--0.004--
2001-04-08T00:00:00ANONYMOUSv4_computers21256--0.014--
2002-01-02T00:00:00ANONYMOUSv4_computers21257--0.029--
2003-10-14T00:00:00ANONYMOUSv4_computers21258--0.057--
2008-10-12T15:03:00Sturle Sundegerle.ifi258259--0.057--
2008-10-12T15:39:00Sturle Sundegerle.ifi259260--0.114--
2010-11-15T11:58:00Sid & AndyBuzz260261--0.228--
2015-05-25T13:18:00lycornManual testing261262--0.457--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.261 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:11.261 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100012.7310.000%
25500001.34925.941%
302500000.10889.793%
3510000000.00799.295%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002816.316
25000025000000444.945


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-09-22T00:00:00ANONYMOUSv4_computersEDBCC0B11AB9DDEE0.013
2015-04-11T15:43:00MadPooManual testingEDBCC0B11AB9DDEE0.013


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T14:41:40Oliver KruseGTX-1
140312746716943417021238237671
3B9347174F341A__no
2017-09-28T09:44:53Oliver KruseManual testing
140312746716943417021238237671
3B9347174F341A__no
2017-11-09T07:22:02kkmrkkblmbrbkc4.large
140312746716943417021238237671
3B9347174F341A__no
2020-04-20T01:27:59Oliver KruseAddPrpType5
140312746716943417021238237671
077B9AF9221ABC__no


P-1 factor-bounds graph:
B1 = 2328352 (P-1 stage 1)
B1 = 2116684 (P-1 stage 1)
B1 = 1749327 (P-1 stage 1)
B1 = 1590298 (P-1 stage 1)
B1 = 1445726 (P-1 stage 1)
B1 = 1345726 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 672883 (P-1 stage 1)
B1 = 555316 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 333189 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
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108
TF factor-bounds graph:
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262
261
260
259
258
257
256
255
254
250
260
270
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2100
Last modified: 2022-03-07T09:02:42+00:00