is 2 2228341 - 1
has 670798 decimal digits
takes 0.147 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L7E03E80788ECF4A4double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.334567.1642%10000001060000000.64077.7349%13.975369.7040%2.5398%
PrimeNet2580.017262.0690%100001800000.00182.8698%0.019163.1575%1.0886%
GPU722620.275764.5161%110001800000.00191.6311%0.277665.0949%0.5788%
Difference+5+13.0588+2.6481%+989000+105820000+0.6388+6.1038%+13.6977+4.6091%+4.6091%

Known prime factors (2 factors, 150.4 bits, 0.00674848% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
222834121554140060176849364632270.868483636482481291
3 × 150559 × 1070757383
2013-06-251505591070757383139.085.575410.388
22283418611555170443262780376632479.511193227947841987891
32 × 7 × 29 × 31 × 41 × 47 × 181 × 9781589
2016-04-09181978158977,6700.05080.0949

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2228341185614666279674206311991984948971534247600596946150.379
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.281%
2010-10-24T21:41:00Oscar Östlin7501175011---0.007--0.782%
2011-01-13T09:53:00Oscar Östlin850001615000---0.016--2.466%
2016-04-09T13:17:14alpertronManual testing50000015000000122479.5110.1230.2930.2465.190%
2021-06-29T22:18:03Dylan Delgadolaptop-ryzen737001000000106000000-
skipped known factor: 861155517044326278037663
--0.641--7.735%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-01-11T05:41:00Sturle Sundegopher.ifi260261--0.069--
2012-04-20T06:47:00Sebastian HornbostelManual testing261262--0.138--
2013-01-23T08:24:00dbaughManual testing262263--0.441--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.772 GHz-days
Estimated T-Level:0.450
DigitsB1CurvesCompleteFacMiss
20110009 / 1000.09091.352%
25500009 / 2800.03296.831%

New Calculation Method

Total ECM effort:0.772 GHz-days
Estimated T-Level:0.450
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000090.772


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-02T00:00:00ANONYMOUSv4_computers7E03E80788ECF4A40.147


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-09T23:01:30Oliver KruseGTX-2
2155414006017684936463
861155517044326278037663
9742A362DFD25225no
2017-10-18T01:21:16Oliver KruseGTX-3
2155414006017684936463
861155517044326278037663
A904AA9E8B9087__no
2017-11-20T15:23:38kkmrkkblmbrbkold
2155414006017684936463
861155517044326278037663
A904AA9E8B9087__no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 106000000 (P-1 stage 2)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 85000, B2 = 1615000 (P-1 stage 2)
B1 = 85000 (P-1 stage 1)
B1 = 75011 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
263
262
261
250
260
270
280
290
2100
Last modified: 2021-06-29T22:18:03+00:00