is 2 2188181 - 1
has 658709 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-L6E23999486D3491Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.579367.1642%500000150000000.12305.1787%13.702368.8647%1.7005%
PrimeNet2580.017562.0690%100001800000.00182.8602%0.019463.1539%1.0849%
GPU722620.280864.5161%110001600000.00181.5699%0.282665.0732%0.5571%
Difference+5+13.2985+2.6481%+489000+14840000+0.1212+3.6088%+13.4197+3.7915%+3.7915%

Known prime factors (1 factor, 71.4 bits, 0.00326257% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
218818130960315296488055963772271.391707444112175548
22 × 3 × 11 × 1021 × 5249192059
2013-05-1710215249192059399.5827.26650.925

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%
2011-01-12T17:41:00markrtiny900001620000---0.017--2.489%
2016-03-29T11:23:24alpertronManual testing5000001500000012---0.123--5.179%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.018--
2022-03-09T16:35:58LordJuliusManual testing21260--0.070--
2009-01-02T22:02:00Sturle Sundeginjtje.ifi260261--0.070--
2009-01-08T07:55:00Sturle Sundefungo.ifi261262--0.140--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.467 GHz-days
Estimated T-Level:0.800
DigitsB1CurvesCompleteFacMiss
201100016 / 1000.16085.146%
255000016 / 2800.05794.436%

New Calculation Method

Total ECM effort:1.467 GHz-days
Estimated T-Level:0.800
DigitsB1CompleteFacMiss
20110000.63852.844%
25500000.05994.256%
302500000.00499.626%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000090.770
50000699107970.697


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-15T00:00:00ANONYMOUSv4_computers6E23999486D3491D0.144


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-09T06:35:41Oliver KruseGTX-0
3096031529648805596377
45E42467E0684C__no
2017-11-19T11:28:42kkmrkkblmbrbkc4.xlarge
3096031529648805596377
45E42467E0684C__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
1010
TF factor-bounds graph:
267
262
261
260
258
250
260
270
280
290
2100
Last modified: 2022-06-29T07:31:18+00:00