is 2 2953571 - 1
has 889114 decimal digits
takes 0.251 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LE10F09944109C447double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26820.180667.6471%1072727220000000.27315.6813%20.453769.4851%1.8381%
PrimeNet2600.052063.3333%120002200000.00292.5079%0.054964.2529%0.9196%
GPU722641.205165.6250%120002000000.00271.3470%1.207866.0880%0.4630%
Difference+4+18.9755+2.0221%+1060727+21800000+0.2704+4.3343%+19.2459+3.3971%+3.3971%

Known prime factors (1 factor, 74.7 bits, 0.00252932% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2953571307975058544222247511992374.7055213605133315269
8513 × 612428654213
2020-09-1485136124286542131,359.54,117.87,691.0

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-13T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.247%
2003-12-23T00:00:00Team Prime Ribv4_computers1000010000---0.001--0.146%
2010-11-02T15:37:00markrtiny950001995000---0.024--2.457%
2014-11-12T02:17:00Jocelyn LaroucheManual testing116731116731---0.014--0.928%
2015-01-26T18:12:00Jocelyn LaroucheManual testing141244141244---0.017--1.032%
2015-01-31T14:55:00Jocelyn LaroucheManual testing170904170904---0.021--1.144%
2015-02-01T13:32:00Jocelyn LaroucheManual testing187994187994---0.023--1.202%
2015-02-04T11:55:00Jocelyn LaroucheManual testing413586413586---0.051--1.755%
2015-02-25T03:47:00Jocelyn LaroucheManual testing454944454944---0.056--1.830%
2015-03-02T13:10:00Jocelyn LaroucheManual testing500438500438---0.062--1.907%
2015-03-12T10:39:00Jocelyn LaroucheManual testing550481550481---0.068--1.986%
2015-03-14T11:30:00Jocelyn LaroucheManual testing605529605529---0.075--2.067%
2015-03-29T20:50:00Jocelyn LaroucheManual testing732689732689---0.090--2.234%
2015-04-08T16:59:00Jocelyn LaroucheManual testing805957805957---0.099--2.320%
2015-05-01T17:21:00Jocelyn LaroucheManual testing975207975207---0.120--2.498%
2015-05-08T13:54:00VictordeHollanderManual testing100000020000000---0.251--5.544%
2016-09-05T18:36:02Jocelyn Larouchelow4M10727272200000012---0.273--5.681%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-07-26T00:00:00ANONYMOUSv4_computers21260--0.052--
2009-02-13T19:35:00Sturle Sundeakerman.ifi260261--0.052--
2011-12-18T20:34:00markroldgamer261262--0.104--
2013-01-07T13:49:00dbaughManual testing262263--0.332--
2015-04-27T09:54:00VictordeHollanderManual testing263264--0.665--
2015-04-27T09:54:00VictordeHollanderManual testing264265--1.265--
2016-02-26T10:03:32ramgeisManual testing265266--2.530--
2017-11-28T10:01:37Gordon SpenceManual testing266267--5.060--
2018-12-24T00:53:33chuenkitManual testing267268--10.12--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.317 GHz-days
Estimated T-Level:1.000
DigitsB1CurvesCompleteFacMiss
201100020 / 1000.20081.791%
255000020 / 2800.07193.094%

New Calculation Method

Total ECM effort:2.317 GHz-days
Estimated T-Level:1.000
DigitsB1CompleteFacMiss
20110000.64552.458%
25500000.05894.336%
302500000.00499.642%


ECM Summary

B1B2factorcurvesGHz-days
500005000000182.085
50000500000020.232


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-11-14T06:50:09MadPooManual testingE10F09944109C4470.251


PRP results:
dateuseridcompidcofactorsres64PRP
2020-09-16T15:31:46Sébastien BrouckePortable_Seb
30797505854422224751199
022FD725F9E99E1Ano
2020-09-20T23:25:21nordisweet16
30797505854422224751199
022FD725F9E99E1Ano
2020-09-21T15:26:17Wentao Huangtp-win
30797505854422224751199
022FD725F9E99E1Ano


P-1 factor-bounds graph:
B1 = 1072727, B2 = 22000000 (P-1 stage 2)
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1072727 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 975207 (P-1 stage 1)
B1 = 805957 (P-1 stage 1)
B1 = 732689 (P-1 stage 1)
B1 = 605529 (P-1 stage 1)
B1 = 550481 (P-1 stage 1)
B1 = 500438 (P-1 stage 1)
B1 = 454944 (P-1 stage 1)
B1 = 413586 (P-1 stage 1)
B1 = 95000, B2 = 1995000 (P-1 stage 2)
B1 = 187994 (P-1 stage 1)
B1 = 170904 (P-1 stage 1)
B1 = 141244 (P-1 stage 1)
B1 = 116731 (P-1 stage 1)
B1 = 95000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
102
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102
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109
1010
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TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
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260
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290
2100
Last modified: 2020-09-21T15:26:17+00:00