is 2 1941293 - 1
has 584388 decimal digits
takes 0.105 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LBB67B7774A0EA1E2double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26715.306368.6567%500000150000000.10155.1047%15.407770.2567%1.6000%
PrimeNet2580.019863.7931%80001400000.00122.4646%0.021064.6855%0.8924%
GPU722620.316566.1290%8000900000.00101.1520%0.317566.5192%0.3902%
Difference+5+14.9898+2.5277%+492000+14910000+0.1005+3.9527%+15.0903+3.7375%+3.7375%

Known prime factors (2 factors, 181.6 bits, 0.00935565% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1941293237367397934935514701032374.3306113641730922007
863 × 7084173500489
2015-06-0986370841735004892,255.330,36156,706
194129319851727066353542314857109643436133107.29151130167023611434015517260
22 × 3 × 5 × 7 × 11 × 133 × 103 × 251 × 263 × 76679 × 9661889
2015-09-247667996618896.613e+100.04710.0773

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
194129347121527982548712834926039581935306028562664529934
09183
55181.621
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-12-11T06:09:00markrtiny2750006000000---0.046--3.947%
2015-09-24T11:33:55alpertronManual testing500000150000001233107.2910.1010.2110.2035.105%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-12-21T00:00:00Stephen Woodv4_computers21258--0.020--
2010-01-27T18:34:00S485122USB-W260261--0.079--
2011-08-27T22:18:00GrunwalderGIMPManual testing21263--0.822--
2015-05-20T10:34:00monstManual testing263264--1.011--
2015-05-20T10:35:00monstManual testing264265--1.925--


ECM factoring results:

Old Calculation Method

Total ECM effort:20.947 GHz-days
Estimated T-Level:24.589
DigitsB1CurvesCompleteFacMiss
2011000257 / 1002.5707.555%
2550000257 / 2800.91839.872%

New Calculation Method

Total ECM effort:20.947 GHz-days
Estimated T-Level:24.589
DigitsB1CompleteFacMiss
20110009.0500.012%
25500000.80444.745%
302500000.05095.136%
3510000000.00299.771%


ECM Summary

B1B2factorcurvesGHz-days
500005000000292.017
50000500000010.070
50000575000070.516
50000675000070.555
50000750000021317.79


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-10T00:00:00Stephen Woodv4_computersBB67B7774A0EA1E20.105


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-05T03:09:06Oliver KruseGTX-2
23736739793493551470103
198517270663535423148571096434361
8176057C9DBD088Fno
2017-10-05T21:33:43Oliver KruseManual testing
23736739793493551470103
198517270663535423148571096434361
8176057C9DBD08__no
2017-11-15T10:54:54kkmrkkblmbrbkc4.xlarge
23736739793493551470103
198517270663535423148571096434361
8176057C9DBD08__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 275000, B2 = 6000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 275000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
267
265
264
263
261
258
250
260
270
280
290
2100
2110
Last modified: 2022-04-14T10:50:07+00:00