is 2 5286863 - 1
has 1591505 decimal digits
takes 0.835 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
1 primality tests remaining
ResidueStatus
L-LF9ED71231DC474CAdouble-checked
PRP4DDA5F25ADADF4__
unverified PRP test

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272180.888768.0556%80000004000000006.72228.1727%187.610970.6663%2.6107%
PrimeNet2620.116262.9032%220005000000.01103.0112%0.127264.0203%1.1171%
GPU722662.793465.1515%300006000000.01401.9930%2.807465.8460%0.6945%
Difference+6+178.0953+2.9040%+7970000+399400000+6.7082+6.1797%+184.8035+4.8202%+1.9162%

Known prime factors (1 factor, 128.5 bits, 0.00243107% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
528686349047705660366942152504045208178197059339128.52746386397434893756611911491945392
24 × 72 × 47 × 2311 × 72211 × 78031 × 283079 × 341506201
2021-10-142830793415062013.120e+104.32177.9573

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-08-21T21:46:00Carsten Kossendeyleela25000343750---0.010--0.679%
2010-07-23T00:55:00Squeeky_SquirrelP4_260060000975000---0.025--1.216%
2019-07-03T14:09:26harleei5-5250U_1600315000937125012---0.185--2.989%
2021-10-13T16:57:52axnManual testing800000040000000039128.5276.7221.67013.448.173%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-03-03T00:00:00ANONYMOUSv4_computers21261--0.058--
1998-05-08T00:00:00ANONYMOUSv4_computers21262--0.116--
2009-06-04T14:54:00GrunwalderGIMPManual testing262263--0.186--
2014-12-22T00:49:00VictordeHollanderManual testing263264--0.371--
2014-12-22T00:49:00VictordeHollanderManual testing264265--0.707--
2015-08-14T06:42:00snme2pm1Manual testing265266--1.413--
2016-06-08T01:59:26Gordon SpenceManual testing266267--2.827--
2018-06-17T22:03:14ramgeisManual testing267268--5.654--
2020-10-05T08:51:36TJAOIManual testing268269--11.31--
2021-08-18T06:03:55SRBaseManual testing269270--22.62--
2021-08-23T16:33:13SRBaseManual testing270271--45.23--
2021-09-16T06:28:43SRBaseManual testing271272--90.46--


ECM factoring results:
Total ECM effort:2.161 GHz-days
Estimated T-Level:1.731
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
50000500000092.161


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-09-20T00:00:00ANONYMOUSv4_computersF9ED71231DC474CA0.835
2000-07-12T00:00:00ANONYMOUSv4_computersF9ED71231DC474CA0.835


PRP results:
dateuseridcompidcofactorsres64PRP
2021-10-20T18:12:57Sébastien BrouckePortable_Seb
490477056603669421525040452081781970593
4DDA5F25ADADF4__no
2021-10-22T05:46:04LaurVtrabi
490477056603669421525040452081781970593
4DDA5F25ADADF4A7no


P-1 factor-bounds graph:
B1 = 8000000, B2 = 400000000 (P-1 stage 2)
B1 = 8000000 (P-1 stage 1)
B1 = 315000, B2 = 9371250 (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 = 343750 (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:
272
271
270
269
268
267
266
265
264
263
262
261
250
260
270
280
290
2100
2110
2120
2130
Last modified: 2021-10-22T05:46:04+00:00