is 2 2048369 - 1
has 616621 decimal digits
takes 0.135 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF12CC7CE677FB540double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26714.506168.6567%500000150000000.12305.1378%14.629170.2671%1.6104%
PrimeNet2580.018763.7931%90001600000.00162.6652%0.020464.7581%0.9650%
GPU722620.299966.1290%90001200000.00141.3301%0.301466.5795%0.4505%
Difference+5+14.2062+2.5277%+491000+14880000+0.1216+3.8077%+14.3278+3.6875%+3.6875%

Known prime factors (2 factors, 122.1 bits, 0.00596179% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
204836913249090680837506871960.201323405858047
1097 × 294809351
2016-01-2010972948093510.14811.53142.8601
204836943595130823809722231961.9191064142515919
3 × 7 × 187181 × 270719
2008-12-071871812707190.28560.01830.0363

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2048369577595841527629334454371218340416720137122.119
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-04-28T00:00:00Jocelyn Larouchev4_computers10001000---9.53375e-5--0.007%
2002-05-05T00:00:00Jocelyn Larouchev4_computers20002000---0.000--0.022%
2003-01-16T00:00:00ANONYMOUSv4_computers25000425000---0.004--1.261%
2016-03-17T19:20:05alpertronManual testing5000001500000012-
skipped known factor: 4359513082380972223
--0.123--5.138%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-10T00:00:00Martijn Ottov4_computers21258--0.019--
2022-03-09T08:13:22LordJuliusManual testing21260--0.075--
2016-01-20T12:14:46TJAOIManual testing260261*60.201190.0730.2740.149


ECM factoring results:

Old Calculation Method

Total ECM effort:3.500 GHz-days
Estimated T-Level:1.900
DigitsB1CurvesCompleteFacMiss
201100038 / 1000.38068.255%
255000038 / 2800.13687.288%

New Calculation Method

Total ECM effort:3.500 GHz-days
Estimated T-Level:1.900
DigitsB1CompleteFacMiss
20110001.52921.679%
25500000.14286.789%
302500000.00999.105%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
500005000000171.442
50000675000070.678
50000688588670.685
50000709949670.695


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-17T00:00:00Martijn Ottov4_computersF12CC7CE677FB5400.135


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T15:33:30alpertronManual testing
1324909068083750687
4359513082380972223
B36A05F56CD93C__no
2017-10-21T02:12:39Oliver KruseThreadripper
1324909068083750687
4359513082380972223
B36A05F56CD93C__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 25000, B2 = 425000 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
B1 = 1000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
261
260
258
250
260
270
280
290
2100
Last modified: 2022-07-26T17:30:02+00:00