is 2 1824481 - 1
has 549224 decimal digits
takes 0.099 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LD9D75FCEDEEB836Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26716.286268.6567%500000150000000.10155.0667%16.387770.2448%1.5881%
PrimeNet2570.010563.1579%80001500000.00122.8775%0.011864.2180%1.0601%
GPU722610.168465.5738%90001300000.00121.5587%0.169666.1104%0.5366%
Difference+6+16.1179+3.0829%+491000+14870000+0.1002+3.5081%+16.2181+4.1344%+4.1344%

Known prime factors (1 factor, 82.0 bits, 0.00449569% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
182448149136827412471865232749132582.0231346597399821424976
24 × 33 × 1811 × 4027 × 427419119
2014-04-274027427419119589,8341.83213.4213

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-02-11T06:21:00Carsten Kossendeyleela1000001675000---0.015--2.490%
2016-03-16T12:38:35alpertronManual testing5000001500000012---0.101--5.067%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-16T00:00:00ANONYMOUSv4_computers21258--0.021--
2010-04-10T20:20:00Architects CubedManual testing260261--0.084--
2011-01-21T16:10:00GrunwalderGIMPManual testing21263--0.875--


ECM factoring results:

Old Calculation Method

Total ECM effort:20.199 GHz-days
Estimated T-Level:24.714
DigitsB1CurvesCompleteFacMiss
2011000264 / 1002.6407.042%
2550000264 / 2800.94338.886%

New Calculation Method

Total ECM effort:20.199 GHz-days
Estimated T-Level:24.714
DigitsB1CompleteFacMiss
20110009.0170.012%
25500000.81744.194%
302500000.05195.074%
3510000000.00299.768%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000485000070.478
500005000000322.209
50000660000022517.51


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-06T00:00:00Dylan Jonesv4_computersD9D75FCEDEEB836D0.099


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-04T00:14:19Oliver KruseGTX-1
4913682741247186523274913
9C540E1542CBD3__no
2017-11-06T02:58:20ATHec2-1xf
4913682741247186523274913
9C540E1542CBD3__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 100000, B2 = 1675000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
263
261
258
250
260
270
280
290
2100
Last modified: 2021-04-30T08:11:26+00:00