is 2 2048243 - 1
has 616583 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-LACA932C6EB7D4065double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26714.507068.6567%500000150000000.12305.1378%14.630070.2671%1.6103%
PrimeNet2580.018763.7931%90001600000.00162.6652%0.020464.7581%0.9650%
GPU722620.299966.1290%90001200000.00141.3301%0.301466.5795%0.4505%
Difference+5+14.2071+2.5277%+491000+14880000+0.1216+3.8077%+14.3286+3.6875%+3.6875%

Known prime factors (2 factors, 145.3 bits, 0.00709427% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2048243427492472525025679512065.21310435589735325
3 × 52 × 17 × 307 × 503 × 53003
2002-01-08503530037.19850.00030.0005
204824312916015444957823003667672580.095315294997833699981
3 × 5209 × 20176297295303
2021-07-21520920176297295303225,669104,801195,739

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
20482435521499377736439477126993340571167663968441744145.308
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-17T19:20:05alpertronManual testing5000001500000012-
skipped known factor: 42749247252502567951
--0.123--5.138%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2002-01-08T00:00:00ANONYMOUSv4_computers??65.213203.6370.2737.385
1999-01-10T00:00:00ANONYMOUSv4_computers21258--0.019--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.359 GHz-days
Estimated T-Level:1.850
DigitsB1CurvesCompleteFacMiss
201100037 / 1000.37068.945%
255000037 / 2800.13287.601%

New Calculation Method

Total ECM effort:3.359 GHz-days
Estimated T-Level:1.850
DigitsB1CompleteFacMiss
20110001.47822.819%
25500000.13787.208%
302500000.00999.136%


ECM Summary

B1B2factorcurvesGHz-days
500005000000201.697
50000675000070.678
50000675000030.291
50000706985070.694


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-17T00:00:00ANONYMOUSv4_computersACA932C6EB7D40650.135
1999-03-01T00:00:00ANONYMOUSv4_computersACA932C6EB7D40650.135


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-06T07:25:46Oliver KruseGTX-1
42749247252502567951
D9E1090071E270__no
2017-11-15T10:10:56kkmrkkblmbrbkold
42749247252502567951
D9E1090071E270__no
2021-07-21T15:05:38SRJ2877LTOS
42749247252502567951
1291601544495782300366767
1F88B06E1CE9D7BDno
2021-07-21T20:13:00tanaydinlinux
42749247252502567951
1291601544495782300366767
1F88B06E1CE9D7BDno


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
TF factor-bounds graph:
267
258
2
250
260
270
280
290
2100
Last modified: 2022-06-30T06:34:00+00:00