is 2 2043191 - 1
has 615062 decimal digits
takes 0.134 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L9C7C1C6EED679EB4double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26829.172469.1176%40000002000000001.39948.7581%30.571971.8223%2.7047%
PrimeNet2580.018863.7931%90001600000.00162.6640%0.020464.7576%0.9645%
GPU722620.300766.1290%90001200000.00141.3294%0.302166.5793%0.4503%
Difference+6+28.8718+2.9886%+3991000+199880000+1.3980+7.4287%+30.2697+5.2430%+5.2430%

Known prime factors (1 factor, 91.5 bits, 0.00447667% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
204319134220535712476183859041653772891.467837428701293128832768
28 × 32 × 15619 × 205957 × 112988849
2019-07-13205957112988849337,245,1570.60551.0962

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-04-28T00:00:00Jocelyn Larouchev4_computers10001000---9.53375e-5--0.005%
2002-05-05T00:00:00Jocelyn Larouchev4_computers20002000---0.000--0.017%
2003-01-09T00:00:00ANONYMOUSv4_computers25000418750---0.004--1.085%
2010-12-28T23:08:00Jocelyn LaroucheManual testing3000030000---0.003--0.349%
2011-01-04T22:09:00Jocelyn LaroucheManual testing5000050000---0.005--0.507%
2011-02-05T13:25:00kurlyslice1350002868750---0.027--2.707%
2014-10-19T12:31:00Jocelyn LaroucheManual testing166414166414---0.016--1.058%
2015-10-06T04:05:15Bruno Victal4790K-windows5000001500000012---0.123--4.662%
2019-06-29T13:04:30BigBrotherWinston10000002000000012---0.194--5.316%
2019-07-13T10:56:54mikrMSI4000000200000000122891.4671.3990.2692.7998.758%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-10T00:00:00ANONYMOUSv4_computers21258--0.019--
2016-02-23T16:29:04Mark RoseManual testing258260--0.056--
2009-01-03T07:14:00Sturle Sundegluck.ifi260261--0.075--
2012-02-28T06:47:00Sebastian HornbostelManual testing261262--0.150--
2013-08-30T08:22:00ramgeisManual testing262263--0.480--
2015-04-13T20:09:00VictordeHollanderManual testing263264--0.961--
2015-04-13T20:09:00VictordeHollanderManual testing264265--1.829--
2015-11-02T09:33:40ramgeisManual testing265266--3.657--
2016-08-04T22:03:49Gordon SpenceManual testing266267--7.315--
2019-03-22T01:11:12chuenkitManual testing267268--14.63--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.562 GHz-days
Estimated T-Level:2.100
DigitsB1CurvesCompleteFacMiss
201100042 / 1000.42065.566%
255000042 / 2800.15086.048%

New Calculation Method

Total ECM effort:3.562 GHz-days
Estimated T-Level:2.100
DigitsB1CompleteFacMiss
20110001.35525.799%
25500000.12288.475%
302500000.00899.249%


ECM Summary

B1B2factorcurvesGHz-days
500005000000423.562


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-17T00:00:00ANONYMOUSv4_computers9C7C1C6EED679EB40.134
2016-07-15T20:34:51Mark Roseraphael9C7C1C6EED679EB40.134


PRP results:
dateuseridcompidcofactorsres64PRP
2019-07-14T01:59:03Niels_Mache_NextcloudSuperDry-X
3422053571247618385904165377
C63267CB3DBE88AEno
2019-07-14T02:18:06ATHec2-PRPCFDC
3422053571247618385904165377
C63267CB3DBE88AEno


P-1 factor-bounds graph:
B1 = 4000000, B2 = 200000000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 135000, B2 = 2868750 (P-1 stage 2)
B1 = 166414 (P-1 stage 1)
B1 = 135000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 25000, B2 = 418750 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 25000 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
B1 = 1000 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2019-07-14T02:18:06+00:00