is 2 3378043 - 1
has 1016893 decimal digits
takes 0.355 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L23B1E39D99715DA5double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26817.644867.6471%13512172232321002.04688.4980%19.691670.3964%2.7493%
PrimeNet2600.045563.3333%140002800000.00432.8439%0.049864.3761%1.0428%
GPU722641.053765.6250%180003200000.00521.7899%1.058966.2403%0.6153%
Difference+4+16.5911+2.0221%+1333217+222912100+2.0415+6.7081%+18.6326+4.1561%+2.1341%

Known prime factors (3 factors, 211.3 bits, 0.00625600% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3378043692451377221062084492065.90810249297851168
25 × 32 × 31 × 1087 × 1056113
2019-07-09108710561132.92970.00890.0164
33780431060407743674499167912166.52315695592739265
5 × 229 × 2777 × 4936241
2009-06-12277749362417.59440.04140.0765
33780435635730788321253465352892478.89983417096649173108
22 × 151 × 263 × 518113 × 1013533
2022-01-07518113101353320,7420.08300.1606

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
3378043734280802523285934830656110184955116715940132.432
33780433902469546020193876140397710250075856845676144144.807
33780435976172569200646873413240591575998319513759944145.422
337804341382089260537208822051969085622267628366599359668
31106731373951
64211.330
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-03-13T00:17:39Jocelyn LaroucheManual testing33780437158476-
skipped known factor: 69245137722106208449
--0.079--3.534%
2021-03-13T12:05:34Jocelyn LaroucheManual testing33780470938906-
skipped known factor: 69245137722106208449
skipped known factor: 106040774367449916791
--0.108--4.072%
2022-01-07T18:36:26Jocelyn LaroucheManual testing10000001116423002478.8991.0700.7102.1417.472%
2022-09-03T03:17:43Jocelyn LaroucheManual testing1351217223232100-
skipped known factor: 69245137722106208449
skipped known factor: 106040774367449916791
skipped known factor: 563573078832125346535289
--2.047--8.498%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-09-06T00:00:00ANONYMOUSv4_computers21260--0.045--
2009-03-27T06:56:00S485122USB-Z260261--0.045--
2022-04-24T06:27:31LordJuliusManual testing21262--0.182--
2022-04-24T06:27:31LordJuliusManual testing262263--0.291--
2022-04-24T06:27:31LordJuliusManual testing263264--0.581--
2022-04-24T06:27:31LordJuliusManual testing264265--1.106--
2019-07-09T10:16:13TJAOIManual testing265266*65.908200.7700.7211.564
2022-04-24T06:27:31LordJuliusManual testing26526665.908200.7700.7211.564
2022-04-24T06:27:31LordJuliusManual testing26626766.523213.2220.7216.547
2021-07-29T11:02:15Jocelyn LaroucheManual testing267268--8.849--


ECM factoring results:
Total ECM effort:0.000 GHz-days
DigitsB1CompleteFacMiss


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-10-25T00:00:00Nayan Hajratwalav4_computers23B1E39D99715DA50.355
1999-07-27T00:00:00ANONYMOUSv4_computers23B1E39D99715DA50.355


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-05T14:14:30Oliver KruseGTX-1
106040774367449916791
0358611149A6FC__no
2017-12-15T17:40:05kkmrkkblmbrbkc4.xlarge
106040774367449916791
0358611149A6FC__no
2019-07-10T01:55:32Niels_Mache_NextcloudSuperDry3
69245137722106208449
106040774367449916791
0358611149A6FC04no
2022-01-12T00:35:51LordJuliusBabybox
69245137722106208449
106040774367449916791
563573078832125346535289
0358611149A6FC04no


P-1 factor-bounds graph:
B1 = 1351217, B2 = 223232100 (P-1 stage 2)
B1 = 1000000, B2 = 111642300 (P-1 stage 2)
B1 = 1351217 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 337804, B2 = 7093890 (P-1 stage 2)
B1 = 337804, B2 = 3715847 (P-1 stage 2)
B1 = 337804 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-09-03T03:17:43+00:00