is 2 3953629 - 1
has 1190161 decimal digits
takes 0.493 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-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26815.076067.6471%39536295031526505.633610.5142%20.709671.0487%3.4017%
PrimeNet2600.038863.3333%180003600000.00663.2959%0.045564.5418%1.2085%
GPU722640.900365.6250%260005000000.00942.2834%0.909666.4099%0.7849%
Difference+4+14.1757+2.0221%+3927629+502652650+5.6243+8.2309%+19.8000+4.6388%+2.6168%

Known prime factors (4 factors, 188.3 bits, 0.00476344% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3953629213495967927.67027
33
-27274.549e-124.883e-69.937e-6
39536298693555735531239.661109944
23 × 33 × 509
2008-09-30275093.330e-89.632e-69.937e-6
3953629116540324348812971753.3721473839912
23 × 47 × 3919787
2014-09-204739197870.00060.03860.0721
39536292278163105622376786572167.62628811037980832
25 × 3 × 151 × 431 × 4611407
2022-03-0243146114078.32070.04550.0849

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
39536291856039088425373607512167.331
395362924880889241343470332291992581.041
3953629101314980516314950769075382412993.033
3953629486378635218572468887114763192995.296
395362919805337933356250903196354175832133107.288
3953629216303397369168196910011424635177404737120.702
3953629265497867248730851373511594062537812937120.998
39536294228359773843674342072529025643762219140741134.957
395362956682723904705422636721135960092968839150574345148.668
3953629230812050659118663407145169687932869684429702233749160.659
395362949277441950721526411855972711904316244362304121905
8414879
57188.329
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-03-06T12:39:35Jocelyn LaroucheManual testing1000000129198300-
skipped known factor: 213495967
skipped known factor: 869355573553
skipped known factor: 11654032434881297
skipped known factor: 227816310562237678657
--1.444--7.759%
2022-08-22T20:48:23Jocelyn LaroucheManual testing3953629414691200-
skipped known factor: 213495967
skipped known factor: 869355573553
skipped known factor: 11654032434881297
skipped known factor: 227816310562237678657
--4.762--10.262%
2022-10-04T20:39:29Jocelyn LaroucheManual testing3953629503152650-
skipped known factor: 213495967
skipped known factor: 869355573553
skipped known factor: 11654032434881297
skipped known factor: 227816310562237678657
--5.634--10.514%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-30T21:30:00markrManual testing??39.661121.47712e-81.0423.12061e-8
2014-09-20T10:44:00TJAOIManual testing253254*53.372170.0001.0410.001
2022-06-20T19:21:14LordJuliusManual testing2126253.372170.0011.0410.001
2022-06-20T19:21:14LordJuliusManual testing2126227.67094.54892e-121.0429.61021e-12
2022-06-20T19:21:14LordJuliusManual testing2126239.661123.32953e-81.0427.03408e-8
2022-06-20T19:21:14LordJuliusManual testing262263--0.248--
2022-06-20T19:21:14LordJuliusManual testing263264--0.497--
2022-06-20T19:21:14LordJuliusManual testing264265--0.945--
2022-06-20T19:21:14LordJuliusManual testing265266--1.890--
2022-06-20T19:21:14LordJuliusManual testing266267--3.780--
2022-03-02T02:33:33Jocelyn LaroucheManual testing267268
skipped known factors(?)
--7.560--
2022-03-02T02:33:33Jocelyn LaroucheManual testing26726867.626210.8051.0031.638


ECM factoring results:
Total ECM effort:0.538 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.538


Lucas-Lehmer results:
No L-L results for M3953629


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-12T03:32:37kkmrkkblmbrbkc4.xlarge
213495967
869355573553
11654032434881297
56D86D0F87E601__no
2018-01-01T07:53:12Oliver KruseGTX-4
213495967
869355573553
11654032434881297
56D86D0F87E601__no
2022-03-07T21:08:41Oliver KruseServer-Phi
213495967
869355573553
11654032434881297
227816310562237678657
56D86D0F87E60192no


P-1 factor-bounds graph:
B1 = 3953629, B2 = 503152650 (P-1 stage 2)
B1 = 3953629, B2 = 414691200 (P-1 stage 2)
B1 = 1000000, B2 = 129198300 (P-1 stage 2)
B1 = 3953629 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-10-04T20:39:29+00:00