is 2 285071 - 1
has 85815 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L54E585220E88B9ECdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267104.233471.6418%100000005000000000.36369.5558%104.597074.3517%2.7099%
PrimeNet2400.000052.5000%3000800000.000115.0489%0.000159.6482%7.1482%
GPU722440.000056.8182%50001300000.000110.8680%0.000161.5112%4.6930%
Difference+23+104.2334+14.8236%+9995000+499870000+0.3635-1.3122%+104.5969+12.8405%+12.8405%

Known prime factors (1 factor, 102.6 bits, 0.03599138% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
285071769078043206960515024657094183331102.60113489236772715578137107196
22 × 3 × 11 × 223 × 379 × 4176727 × 289489811717
2016-01-1241767272894898117176.627e+11156.32291.88

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-06T00:00:00ANONYMOUSv4_computers1000004000000---0.003--2.290%
2001-07-03T00:00:00ANONYMOUSv4_computers10000010000000---0.006--2.766%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.590%
2002-08-17T00:00:00ANONYMOUSv4_computers655366553600---0.004--2.281%
2003-03-16T00:00:00ANONYMOUSv4_computers13107213107200---0.008--3.100%
2003-11-28T00:00:00ANONYMOUSv4_computers26214426214400---0.017--4.036%
2006-01-15T00:00:00Jocelyn Larouchev4_computers285071285071---0.003--1.144%
2011-02-19T12:49:00Jocelyn LaroucheManual testing20000002000000---0.020--2.646%
2012-08-06T00:09:00markrManual testing10000000400000000---0.310--9.263%
2012-08-08T08:27:00ANONYMOUSManual testing10000000500000000---0.364--9.556%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24T00:00:00ANONYMOUSv4_computers252253--0.002--
2000-05-05T00:00:00ANONYMOUSv4_computers21254--0.008--
2022-03-07T06:11:39LordJuliusManual testing254255--0.008--
2001-02-25T00:00:00ANONYMOUSv4_computers21256--0.034--
2002-03-10T00:00:00ANONYMOUSv4_computers21257--0.067--
2004-02-07T00:00:00ANONYMOUSv4_computers21258--0.135--
2009-01-02T04:06:00Sturle Sundegollumilla.ifi258259--0.135--
2009-01-23T22:49:00Sturle Sundegorro.ifi259260--0.269--
2013-06-24T20:15:00lycornasteroid260261--0.539--
2015-08-13T13:31:00NRManual testing261262--1.078--
2016-01-06T11:11:14Gordon SpenceManual testing262263--3.444--
2016-01-06T11:11:14Gordon SpenceManual testing263264--6.887--


ECM factoring results:

Old Calculation Method

Total ECM effort:16.398 GHz-days
Estimated T-Level:27.016
DigitsB1CurvesCompleteFacMiss
2011000553 / 1005.5300.386%
2550000538 / 2801.92114.590%
30250000258 / 6400.40366.802%

New Calculation Method

Total ECM effort:16.398 GHz-days
Estimated T-Level:27.016
DigitsB1CompleteFacMiss
201100031.2930.000%
25500004.1091.643%
302500000.40966.440%
3510000000.03296.823%
4030000000.00299.790%


ECM Summary

B1B2factorcurvesGHz-days
110002000000150.031
5000050000002802.048
250000250000001575.742
2500002500000010.037
2500001250000001008.541


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-03-03T00:00:00ANONYMOUSv4_computers54E585220E88B9EC0.002


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T12:22:02Oliver KruseDoppelherz
7690780432069605150246570941833
B961524B428310__no
2017-09-24T17:45:25Oliver KruseManual testing
7690780432069605150246570941833
B961524B428310__no
2017-09-30T15:33:07alpertronManual testing
7690780432069605150246570941833
B961524B428310__no
2017-12-07T05:20:36ATHxps
7690780432069605150246570941833
B961524B428310__no
2020-04-17T22:11:02Oliver KruseAddPrpType5
7690780432069605150246570941833
2C8EDCCB2F25D3__no


P-1 factor-bounds graph:
B1 = 10000000, B2 = 500000000 (P-1 stage 2)
B1 = 10000000, B2 = 400000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
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 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 285071 (P-1 stage 1)
B1 = 262144 (P-1 stage 1)
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
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
267
264
263
262
261
260
259
258
257
256
255
254
253
250
260
270
280
290
2100
2110
Last modified: 2022-03-07T06:11:39+00:00