is 2 5228147 - 1
has 1573830 decimal digits
takes 0.826 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 L-L tests remaining
ResidueStatus
L-L4CB98FB16AA67FB6double-checked
PRPDD2A5C19B4D888BC

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27191.443267.6056%80000004000000006.72228.8010%98.165470.4567%2.8510%
PrimeNet2620.117562.9032%220005000000.01103.0055%0.128564.0182%1.1150%
GPU722662.824865.1515%300006000000.01401.9891%2.838865.8447%0.6932%
Difference+5+88.6184+2.4541%+7970000+399400000+6.7082+6.8119%+95.3266+4.6120%+4.6120%

Known prime factors (1 factor, 122.0 bits, 0.00233406% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5228147542175434487123759417048988957628939937122.028518515866603524881202698574617
7 × 61 × 157 × 9323 × 808517 × 2614841 × 392413913
2021-09-1126148413924139132.848e+105.46169.1435

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-06-03T00:00:00ANONYMOUSv4_computers25000350000---0.010--0.792%
2010-06-15T04:47:00Squeeky_SquirrelP4_260060000975000---0.025--1.387%
2019-01-22T09:05:50harleeP4_2600315000921375012---0.183--3.304%
2021-09-11T14:37:21axnManual testing800000040000000037122.0286.7221.65113.448.801%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2002-09-29T00:00:00ANONYMOUSv4_computers?262--0.059--
2009-06-14T04:29:00GrunwalderGIMPManual testing262263--0.188--
2014-12-22T00:47:00VictordeHollanderManual testing263264--0.376--
2014-12-22T00:47:00VictordeHollanderManual testing264265--0.715--
2015-01-31T23:20:00mognutsManual testing265266--1.429--
2016-06-02T03:47:37Gordon SpenceManual testing266267--2.859--
2018-06-17T22:03:00ramgeisManual testing267268--5.717--
2020-11-02T10:39:36TJAOIManual testing268269--11.43--
2021-08-18T06:06:04SRBaseManual testing269270--22.87--
2021-08-22T16:37:07SRBaseManual testing270271--45.74--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.161 GHz-days
Estimated T-Level:0.450
DigitsB1CurvesCompleteFacMiss
20110009 / 1000.09091.352%
25500009 / 2800.03296.831%

New Calculation Method

Total ECM effort:2.161 GHz-days
Estimated T-Level:0.450
DigitsB1CompleteFacMiss
20110000.29074.802%
25500000.02697.410%
302500000.00299.839%


ECM Summary

B1B2factorcurvesGHz-days
50000500000092.161


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-08-31T00:00:00Stefan Rinkv4_computersC9E765CF161158__0.826
2001-06-03T00:00:00ANONYMOUSv4_computers4CB98FB16AA67FB60.826


PRP results:
dateuseridcompidcofactorsres64PRP
2021-09-16T18:18:16M0CZYwin10_linux
5421754344871237594170489889576289399
DD2A5C19B4D888BCno


P-1 factor-bounds graph:
B1 = 8000000, B2 = 400000000 (P-1 stage 2)
B1 = 8000000 (P-1 stage 1)
B1 = 315000, B2 = 9213750 (P-1 stage 2)
B1 = 315000 (P-1 stage 1)
B1 = 60000, B2 = 975000 (P-1 stage 2)
B1 = 60000 (P-1 stage 1)
B1 = 25000, B2 = 350000 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
TF factor-bounds graph:
271
270
269
268
267
266
265
264
263
262
250
260
270
280
290
2100
2110
2120
2130
Last modified: 2021-09-16T18:18:16+00:00