is 2 12288439 - 1
has 3699189 decimal digits
takes 4.731 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L8B6D0021540877F7double-checked
PRP8298728F3CEB8D4Bverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2684.850564.7059%4000003036961209.44818.7781%14.298567.8041%3.0982%
PrimeNet2640.289662.5000%5500015000000.07474.1282%0.364364.0481%1.5481%
GPU722684.850564.7059%9000022000000.11443.0825%4.964965.7938%1.0880%
Difference---+310000+301496120+9.3336+5.6956%+9.3336+2.0102%+2.0102%

Known prime factors (1 factor, 72.4 bits, 0.00058955% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1228843964340186388834035975032272.446261791535885209
11 × 563 × 42272167913
2016-03-115634227216791392.4651,285.72,401.3

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-20T00:00:00Team_Deutschlandv4_computers185000185000---0.103--1.516%
2001-08-24T00:00:00ANONYMOUSv4_computers1400001505000---0.120--3.029%
2022-02-08T10:42:05nordisweet16_30.8b10400000400000---0.223--2.148%
2022-02-22T16:09:29nordisweet16_30.8b10400000303696120---9.448--8.778%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-03-27T00:00:00ANONYMOUSv4_computers21264--0.290--
2013-08-03T20:51:00lycornManual testing264265--0.304--
2013-09-29T05:23:00NesowaManual testing265266--0.608--
2015-03-07T09:56:00ThaManual testing266267--1.216--
2015-07-25T09:25:00ThaManual testing267268--2.432--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.585 GHz-days
Estimated T-Level:0.050
DigitsB1CurvesCompleteFacMiss
20110001 / 1000.01099.000%
25500001 / 2800.00499.643%

New Calculation Method

Total ECM effort:0.585 GHz-days
Estimated T-Level:0.050
DigitsB1CompleteFacMiss
20110000.03296.826%
25500000.00399.709%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.585


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-02-24T00:00:00ANONYMOUSv4_computers8B6D0021540877F74.731
2004-08-06T00:00:00ANONYMOUSv4_computers8B6D0021540877F74.731


PRP results:
dateuseridcompidcofactorsres64PRP
2022-02-26T05:11:02Poaooffice-CN2
6434018638883403597503
8298728F3CEB8D4Bno


P-1 factor-bounds graph:
B1 = 400000, B2 = 303696120 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 140000, B2 = 1505000 (P-1 stage 2)
B1 = 185000 (P-1 stage 1)
B1 = 140000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
268
267
266
265
264
250
260
270
280
290
2100
Last modified: 2022-02-26T05:11:02+00:00