is 2 3494441 - 1
has 1051932 decimal digits
takes 0.367 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRPB182E7C309DDD072verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26934.164868.1159%150000007500000008.382811.0584%42.547671.6418%3.5259%
PrimeNet2600.044063.3333%150003000000.00462.9596%0.048664.4185%1.0852%
GPU722641.018665.6250%190003600000.00571.8882%1.024366.2741%0.6491%
Difference+5+33.1462+2.4909%+14981000+749640000+8.3771+9.1702%+41.5233+5.3677%+5.3677%

Known prime factors (1 factor, 79.8 bits, 0.00228399% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
349444110617283702411042107054792579.813151916768696495979
32 × 11 × 17 × 3571 × 25277362003
2021-09-2135712527736200335,787209.73391.72

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-08T05:54:00Carsten Kossendeyleela20000240000---0.005--0.813%
2011-11-17T21:07:00harleeP4_260060000990000---0.017--1.690%
2014-08-21T21:46:00Jocelyn LaroucheManual testing7836778367---0.012--0.653%
2014-09-05T16:48:00HBendtzManual testing61500012000000---0.188--4.432%
2021-04-14T02:20:23axnManual testing15000000750000000---8.383--11.058%
2022-04-10T23:56:31Jocelyn LaroucheManual testing1000000126668850---1.195--7.004%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-12-13T00:00:00ANONYMOUSv4_computers21260--0.044--
2009-03-19T18:01:00S485122USB-Z260261--0.044--
2011-07-15T21:44:00markrManual testing21262--0.176--
2012-08-18T15:37:00GrunwalderGIMPManual testing21263--0.457--
2016-02-23T16:29:31Mark RoseManual testing262263--0.281--
2015-02-07T18:05:00VictordeHollanderManual testing263264--0.562--
2015-02-07T18:05:00VictordeHollanderManual testing264265--1.069--
2016-01-06T22:34:28ramgeisManual testing265266--2.138--
2017-02-20T16:19:38Gordon SpenceManual testing266267--4.277--
2018-07-30T10:36:13TJAOIManual testing267268--8.554--
2021-01-13T13:19:18axnManual testing268269--17.11--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.911 GHz-days
Estimated T-Level:1.950
DigitsB1CurvesCompleteFacMiss
201100039 / 1000.39067.573%
255000039 / 2800.13986.976%

New Calculation Method

Total ECM effort:5.911 GHz-days
Estimated T-Level:1.950
DigitsB1CompleteFacMiss
20110001.27427.981%
25500000.11589.097%
302500000.00799.291%


ECM Summary

B1B2factorcurvesGHz-days
500005000000294.274
50000500000030.442
50000675000071.196


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-04T00:00:00ANONYMOUSv4_computers57EFE3B9EBCDBC__0.367


PRP results:
dateuseridcompidcofactorsres64PRP
2021-09-28T13:50:50Peter_JakubOptiPlex
1061728370241104210705479
B182E7C309DDD072no


P-1 factor-bounds graph:
B1 = 15000000, B2 = 750000000 (P-1 stage 2)
B1 = 15000000 (P-1 stage 1)
B1 = 1000000, B2 = 126668850 (P-1 stage 2)
B1 = 615000, B2 = 12000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 615000 (P-1 stage 1)
B1 = 60000, B2 = 990000 (P-1 stage 2)
B1 = 78367 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 20000, B2 = 240000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
102
103
104
105
106
107
108
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
269
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2022-04-10T23:56:31+00:00