is 2 5064557 - 1
has 1524584 decimal digits
takes 0.702 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L3B6101E7C64764B8double-checked
PRPB0DD4CF7B18F8B9Averified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272188.828768.0556%1500000450000000.77784.9531%189.606569.6378%1.5822%
PrimeNet2610.060762.2951%220005000000.00973.4056%0.070363.5791%1.2841%
GPU722651.440564.6154%340007000000.01412.4212%1.454765.4721%0.8567%
Difference+7+187.3881+3.4402%+1466000+44300000+0.7637+2.5319%+188.1518+4.1657%+4.1657%

Known prime factors (1 factor, 79.2 bits, 0.00156474% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
50645577174071540498897736446232479.24770826249368887523
7 × 37 × 273460422273697
2021-11-053727346042227369741,3532,994,4685,592,832

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-06-11T00:00:00ANONYMOUSv4_computers2000020000---0.004--0.153%
2009-08-11T13:44:00harleeP4_2600600001065000---0.023--1.236%
2017-07-03T07:50:14mikrS06115000004500000012---0.778--4.953%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-11-05T11:38:19ATHec2-P_12500000250000027P+12479.2470.844


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-05-16T00:00:00ANONYMOUSv4_computers21261--0.061--
2008-12-29T22:58:00Sturle Sundeakerman.ifi261262--0.061--
2009-08-08T04:05:00GrunwalderGIMPManual testing21263--0.315--
2016-02-23T16:39:08Mark RoseManual testing262263--0.194--
2014-12-14T14:43:00VictordeHollanderManual testing263264--0.388--
2014-12-14T14:43:00VictordeHollanderManual testing264265--0.738--
2015-08-02T05:19:00snme2pm1Manual testing265266--1.475--
2016-05-22T18:45:46Gordon SpenceManual testing266267--2.951--
2018-06-11T12:29:31ramgeisManual testing267268--5.902--
2021-01-25T11:17:47TJAOIManual testing268269--11.80--
2021-04-01T10:40:39-Anonymous-Manual testing269270--23.61--
2021-04-01T10:40:39-Anonymous-Manual testing270271--47.22--
2021-04-03T10:35:13-Anonymous-Manual testing271272--94.43--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.897 GHz-days
Estimated T-Level:0.450
DigitsB1CurvesCompleteFacMiss
20110009 / 1000.09091.352%
25500009 / 2800.03296.831%

New Calculation Method

Total ECM effort:1.897 GHz-days
Estimated T-Level:0.450
DigitsB1CompleteFacMiss
20110000.29074.802%
25500000.02697.410%
302500000.00299.839%


ECM Summary

B1B2factorcurvesGHz-days
50000500000091.897


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-07-11T00:00:00ANONYMOUSv4_computers3B6101E7C64764B80.702
2000-06-23T00:00:00ANONYMOUSv4_computers3B6101E7C64764B80.702


PRP results:
dateuseridcompidcofactorsres64PRP
2021-11-05T14:19:24ATHec2-PRPCF
717407154049889773644623
B0DD4CF7B18F8B9Ano


P-1 factor-bounds graph:
B1 = 1500000, B2 = 45000000 (P-1 stage 2)
B1 = 2500000 (P+1 stage 1)
B1 = 1500000 (P-1 stage 1)
B1 = 60000, B2 = 1065000 (P-1 stage 2)
B1 = 60000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
263
262
261
250
260
270
280
290
2100
Last modified: 2021-11-05T14:19:24+00:00