is 2 2070071 - 1
has 623154 decimal digits
takes 0.136 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF8E2468605C42011double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26828.793669.1176%2813228486125790.50616.8259%29.299771.2257%2.1080%
PrimeNet2580.018563.7931%90001600000.00162.6705%0.020264.7600%0.9669%
GPU722620.296866.1290%90001300000.00151.3664%0.298366.5918%0.4628%
Difference+6+28.4969+2.9886%+2804228+48482579+0.5046+5.4596%+29.0015+4.6338%+4.6338%

Known prime factors (1 factor, 76.1 bits, 0.00367435% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2070071788519646729224633664232376.06219045715019659341
13 × 1166441 × 1256004377
2020-04-081166441125600437710,3716.629112.185

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-24T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.222%
2009-07-31T20:56:00harleeP4_260020000260000---0.003--0.874%
2010-12-26T14:29:00Jocelyn LaroucheManual testing3000030000---0.003--0.350%
2011-01-06T23:25:00Jocelyn LaroucheManual testing5000050000---0.005--0.509%
2011-01-19T11:59:00James HeinrichQ66001350003071250---0.028--2.754%
2014-11-06T23:05:00Jocelyn LaroucheManual testing166006166006---0.016--1.059%
2015-01-29T22:02:00Jocelyn LaroucheManual testing200866200866---0.019--1.171%
2015-01-30T21:42:00Jocelyn LaroucheManual testing243047243047---0.023--1.290%
2015-02-01T13:32:00Jocelyn LaroucheManual testing294086294086---0.028--1.417%
2015-02-02T07:32:00Jocelyn LaroucheManual testing323494323494---0.031--1.483%
2015-02-06T22:00:00Jocelyn LaroucheManual testing646988646988---0.062--2.017%
2015-02-20T16:56:00Jocelyn LaroucheManual testing746988746988---0.071--2.139%
2015-03-12T10:39:00Jocelyn LaroucheManual testing821686821686---0.078--2.223%
2015-04-08T16:59:00Jocelyn LaroucheManual testing10936621093662---0.104--2.484%
2015-05-01T17:21:00Jocelyn LaroucheManual testing13233301323330---0.126--2.667%
2015-05-07T16:19:00Jocelyn LaroucheManual testing14556631455663---0.139--2.762%
2015-05-22T00:29:00Jocelyn LaroucheManual testing16012291601229---0.153--2.858%
2015-05-26T18:17:00Jocelyn LaroucheManual testing17613511761351---0.168--2.955%
2015-06-08T13:43:00Jocelyn LaroucheManual testing19374861937486---0.185--3.055%
2015-06-25T21:15:00Jocelyn LaroucheManual testing21312342131234---0.203--3.156%
2015-07-21T01:20:00Jocelyn LaroucheManual testing23443572344357---0.224--3.259%
2016-03-15T22:08:57Jocelyn LaroucheManual testing28132282813228012---0.400--6.172%
2016-10-07T05:48:04Jocelyn Larouchelow 4M28132284861257912---0.506--6.826%
2018-02-22T22:48:10Jocelyn Larouchelow 4M282322856464566---0.284--4.274%
2018-04-10T21:07:14Jocelyn Larouchelow 4M2823228112929126---0.313--5.090%
2018-04-11T22:23:20Jocelyn Larouchelow 4M28232282258582412---0.372--5.911%
2018-04-14T11:03:17Jocelyn Larouchelow 4M28232284517164812---0.489--6.740%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-07-26T00:00:00ANONYMOUSv4_computers21258--0.019--
2016-02-23T16:29:04Mark RoseManual testing258260--0.056--
2009-01-02T18:21:00Sturle Sundehindemith.ifi260261--0.074--
2012-03-15T07:47:00Sebastian HornbostelManual testing261262--0.148--
2013-09-01T20:21:00ramgeisManual testing262263--0.474--
2015-03-28T18:03:00VictordeHollanderManual testing263264--0.948--
2015-03-28T18:03:00VictordeHollanderManual testing264265--1.805--
2015-11-04T09:56:23ramgeisManual testing265266--3.610--
2016-09-07T22:47:46Gordon SpenceManual testing266267--7.220--
2019-03-28T01:31:29chuenkitManual testing267268--14.44--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.710 GHz-days
Estimated T-Level:3.950
DigitsB1CurvesCompleteFacMiss
201100079 / 1000.79045.204%
255000079 / 2800.28275.379%

New Calculation Method

Total ECM effort:6.710 GHz-days
Estimated T-Level:3.950
DigitsB1CompleteFacMiss
20110002.5487.821%
25500000.23079.428%
302500000.01498.592%


ECM Summary

B1B2factorcurvesGHz-days
500005000000786.626
50000500000010.085


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2003-09-21T00:00:00ANONYMOUSv4_computersF8E2468605C420110.136
2015-03-28T17:59:00MadPooManual testingF8E2468605C420110.136


PRP results:
dateuseridcompidcofactorsres64PRP
2020-04-10T03:56:23ANONYMOUSdory
78851964672922463366423
98E214D20D7F0D60no
2020-04-14T10:45:50fre_gamesgpu
78851964672922463366423
98E214D20D7F0D60no


P-1 factor-bounds graph:
B1 = 2813228, B2 = 48612579 (P-1 stage 2)
B1 = 2823228, B2 = 45171648 (P-1 stage 2)
B1 = 2813228, B2 = 28132280 (P-1 stage 2)
B1 = 2823228, B2 = 22585824 (P-1 stage 2)
B1 = 2823228, B2 = 11292912 (P-1 stage 2)
B1 = 2823228, B2 = 5646456 (P-1 stage 2)
B1 = 2823228 (P-1 stage 1)
B1 = 2813228 (P-1 stage 1)
B1 = 2344357 (P-1 stage 1)
B1 = 2131234 (P-1 stage 1)
B1 = 1937486 (P-1 stage 1)
B1 = 1761351 (P-1 stage 1)
B1 = 1601229 (P-1 stage 1)
B1 = 1455663 (P-1 stage 1)
B1 = 1323330 (P-1 stage 1)
B1 = 1093662 (P-1 stage 1)
B1 = 821686 (P-1 stage 1)
B1 = 746988 (P-1 stage 1)
B1 = 646988 (P-1 stage 1)
B1 = 323494 (P-1 stage 1)
B1 = 135000, B2 = 3071250 (P-1 stage 2)
B1 = 294086 (P-1 stage 1)
B1 = 243047 (P-1 stage 1)
B1 = 200866 (P-1 stage 1)
B1 = 166006 (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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1010
TF factor-bounds graph:
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266
265
264
263
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2100
Last modified: 2020-04-14T10:45:50+00:00