is 2 2189227 - 1
has 659023 decimal digits
takes 0.144 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA562DF1692FC1967double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.572867.1642%500000150000000.12305.1790%13.695868.8647%1.7006%
PrimeNet2580.017562.0690%100001800000.00182.8605%0.019463.1540%1.0850%
GPU722620.280664.5161%110001600000.00181.5701%0.282565.0732%0.5571%
Difference+5+13.2922+2.6481%+489000+14840000+0.1212+3.6089%+13.4133+3.7915%+3.7915%

Known prime factors (1 factor, 87.8 bits, 0.00400933% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21892272644808857072346691517189932787.77360405084924321385848
23 × 3 × 757 × 811 × 10723 × 382321937
2013-05-181072338232193721,902,9961.98683.7091

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.280%
2010-11-04T10:39:00Jocelyn LaroucheManual testing1500015000---0.001--0.238%
2010-11-08T22:12:00Jocelyn LaroucheManual testing3000030000---0.003--0.418%
2011-01-12T12:09:00markrtiny900001620000---0.017--2.489%
2016-03-30T11:20:46alpertronManual testing5000001500000012---0.123--5.179%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-01-02T20:08:00Sturle Sundegigotte.ifi260261--0.070--
2009-01-07T04:22:00Sturle Sundeinteravia.ifi261262--0.140--
2013-01-23T08:20:00dbaughManual testing262263--0.448--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.447 GHz-days
Estimated T-Level:0.800
DigitsB1CurvesCompleteFacMiss
201100016 / 1000.16085.146%
255000016 / 2800.05794.436%

New Calculation Method

Total ECM effort:1.447 GHz-days
Estimated T-Level:0.800
DigitsB1CompleteFacMiss
20110000.63852.844%
25500000.05994.295%
302500000.00499.629%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000090.770
50000658948270.677


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-30T00:00:00ANONYMOUSv4_computersA562DF1692FC19670.144


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-09T06:47:31Oliver KruseGTX-3
264480885707234669151718993
B1850E22686577__no
2017-11-23T07:41:07kkmrkkblmbrbkc4.xlarge
264480885707234669151718993
B1850E22686577__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 90000, B2 = 1620000 (P-1 stage 2)
B1 = 90000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
263
262
261
250
260
270
280
290
2100
Last modified: 2022-07-07T07:04:27+00:00