is 2 2076161 - 1
has 624987 decimal digits
takes 0.137 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA30C9774A3661DC1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26828.709269.1176%40000002000000001.39948.7713%30.108671.8264%2.7088%
PrimeNet2580.018563.7931%90001600000.00162.6720%0.020164.7606%0.9675%
GPU722620.295966.1290%90001300000.00151.3672%0.297466.5921%0.4631%
Difference+6+28.4133+2.9886%+3991000+199870000+1.3979+7.4041%+29.8112+5.2343%+5.2343%

Known prime factors (1 factor, 84.7 bits, 0.00408056% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2076161318405684630899927422346712684.7197668135675193299735
3 × 5 × 112 × 13 × 324989856969413
2020-07-251213249898569694132,628,4231,688,0793,152,861

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.223%
2009-07-25T11:28:00harleeP4_260020000260000---0.003--0.875%
2010-12-28T02:15:00Jocelyn LaroucheManual testing3000030000---0.003--0.350%
2011-01-07T22:30:00Jocelyn LaroucheManual testing5000050000---0.005--0.509%
2011-01-20T20:47:00James HeinrichQ66001350003071250---0.028--2.756%
2014-11-10T23:29:00Jocelyn LaroucheManual testing165915165915---0.016--1.059%
2015-01-29T22:02:00Jocelyn LaroucheManual testing207393207393---0.020--1.191%
2015-01-30T21:42:00Jocelyn LaroucheManual testing228132228132---0.022--1.250%
2015-02-01T13:32:00Jocelyn LaroucheManual testing250945250945---0.024--1.312%
2015-02-02T07:32:00Jocelyn LaroucheManual testing276039276039---0.026--1.375%
2015-02-12T12:33:00Jocelyn LaroucheManual testing444560444560---0.042--1.717%
2015-02-14T12:30:00Jocelyn LaroucheManual testing537917537917---0.051--1.866%
2015-02-16T20:56:00Jocelyn LaroucheManual testing591708591708---0.056--1.943%
2015-02-25T03:47:00Jocelyn LaroucheManual testing650878650878---0.062--2.022%
2015-03-03T20:46:00Jocelyn LaroucheManual testing715965715965---0.068--2.103%
2015-03-12T10:39:00Jocelyn LaroucheManual testing787561787561---0.075--2.186%
2015-03-15T18:55:00Jocelyn LaroucheManual testing866317866317---0.083--2.271%
2015-04-08T16:59:00Jocelyn LaroucheManual testing10482421048242---0.100--2.445%
2015-05-01T17:21:00Jocelyn LaroucheManual testing12683721268372---0.121--2.627%
2015-05-07T16:19:00Jocelyn LaroucheManual testing13952091395209---0.133--2.720%
2015-05-22T00:29:00Jocelyn LaroucheManual testing15347291534729---0.146--2.816%
2015-05-26T18:17:00Jocelyn LaroucheManual testing16882011688201---0.161--2.913%
2015-06-08T13:43:00Jocelyn LaroucheManual testing18570211857021---0.177--3.011%
2015-06-25T21:15:00Jocelyn LaroucheManual testing20427232042723---0.195--3.112%
2015-07-07T18:13:00Jocelyn LaroucheManual testing22469952246995---0.214--3.214%
2016-07-07T00:37:33Jocelyn LaroucheManual testing224699544939906---0.226--3.991%
2016-09-24T23:31:24Jocelyn Larouchelow 4M224699589879806---0.249--4.775%
2018-02-23T11:35:54Jocelyn Larouchelow 4M225699545139906---0.227--3.997%
2019-09-11T06:33:41mikrMSI400000020000000012---1.399--8.771%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-10T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:04Mark RoseManual testing258260--0.055--
2009-01-03T08:02:00Sturle Sundehomilius.ifi260261--0.074--
2012-03-16T19:48:00Sebastian HornbostelManual testing261262--0.148--
2013-09-01T20:21:00ramgeisManual testing262263--0.473--
2015-03-28T18:03:00VictordeHollanderManual testing263264--0.946--
2015-03-28T18:03:00VictordeHollanderManual testing264265--1.800--
2015-11-05T09:47:16ramgeisManual testing265266--3.599--
2016-09-10T20:44:41Gordon SpenceManual testing266267--7.199--
2019-03-29T01:44:37chuenkitManual testing267268--14.40--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.687 GHz-days
Estimated T-Level:22.036
DigitsB1CurvesCompleteFacMiss
2011000114 / 1001.14031.799%
2550000114 / 2800.40766.506%

New Calculation Method

Total ECM effort:9.687 GHz-days
Estimated T-Level:22.036
DigitsB1CompleteFacMiss
20110003.6772.529%
25500000.33271.723%
302500000.02097.974%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001119.432
50000500000030.255


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00ANONYMOUSv4_computersA30C9774A3661DC10.137
2017-06-05T23:05:55kkmrkkblmbrbkc4.largeA30C9774A3661DC10.137


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-29T12:36:53Klaus Nordmannno1
31840568463089992742234671
8F49CCB9EA8F130Bno
2020-07-30T12:37:30pewlaptop
31840568463089992742234671
8F49CCB9EA8F130Bno


P-1 factor-bounds graph:
B1 = 4000000, B2 = 200000000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 2246995, B2 = 8987980 (P-1 stage 2)
B1 = 2256995, B2 = 4513990 (P-1 stage 2)
B1 = 2246995, B2 = 4493990 (P-1 stage 2)
B1 = 2256995 (P-1 stage 1)
B1 = 2246995 (P-1 stage 1)
B1 = 2042723 (P-1 stage 1)
B1 = 1857021 (P-1 stage 1)
B1 = 1688201 (P-1 stage 1)
B1 = 1534729 (P-1 stage 1)
B1 = 1395209 (P-1 stage 1)
B1 = 1268372 (P-1 stage 1)
B1 = 1048242 (P-1 stage 1)
B1 = 866317 (P-1 stage 1)
B1 = 787561 (P-1 stage 1)
B1 = 715965 (P-1 stage 1)
B1 = 650878 (P-1 stage 1)
B1 = 591708 (P-1 stage 1)
B1 = 537917 (P-1 stage 1)
B1 = 444560 (P-1 stage 1)
B1 = 135000, B2 = 3071250 (P-1 stage 2)
B1 = 276039 (P-1 stage 1)
B1 = 250945 (P-1 stage 1)
B1 = 228132 (P-1 stage 1)
B1 = 207393 (P-1 stage 1)
B1 = 165915 (P-1 stage 1)
B1 = 135000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 260000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-07-30T12:37:30+00:00