is 2 3737131 - 1
has 1124989 decimal digits
takes 0.393 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26815.949467.6471%100000010104471308.527910.0023%24.477270.8831%3.2360%
PrimeNet2600.041163.3333%160003200000.00503.0890%0.046164.4660%1.1326%
GPU722640.952465.6250%220004500000.00692.1094%0.959366.3501%0.7251%
Difference+4+14.9969+2.0221%+978000+1009997130+8.5210+7.8929%+23.5179+4.5330%+4.5330%

Known prime factors (4 factors, 246.3 bits, 0.00658930% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
37371311614563468867291547.19821601644
22 × 3 × 1800137
-418001378.431e-60.01490.0279
373713197345404167188811653.1121302408240
24 × 3 × 5 × 72 × 110749
2014-09-04491107490.00050.00090.0017
373713110732412288833917187692269.862143591598593064
23 × 32 × 1994327758237
2018-11-159199432775823760.78216,54730,906
3737131797566873128219208184332376.07810670844467697536
27 × 1249 × 48187 × 1385149
2020-11-154818713851497,069.90.01840.0215

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
3737131157170333430464712464554263024931100.310
373713117328160814373620864564341346631660136117.061
37371311044751011945441596537745779008437748938122.974
37371311287722337331535386825679065122627565738123.276
373713177639469615027499034991657154800393347339129.190
37371318559816510328141553308925055913955104726897744145.940
373713116868168179492437160476016601194463898023251604434
81
52170.173
373713112535385138265535935971998296497945026436764958257
9817
54176.388
373713113820367037782905305547858801397826875227777266171
814706233
59193.139
373713183325879779486864825615954218293729138493978262588
6201454737
60199.053
373713113453492150318709000724487327342601329448345818528
6139606771165940759485273
75246.251
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2020-11-15T14:40:40Jocelyn LaroucheManual testing373713373713162376.0780.0850.7850.1703.629%
2022-01-18T07:18:59Jocelyn LaroucheManual testing1000000431367300-
skipped known factor: 161456346886729
skipped known factor: 9734540416718881
skipped known factor: 79756687312821920818433
--3.723--9.050%
2022-03-21T14:12:59Jocelyn LaroucheManual testing10000001010447130-
skipped known factor: 161456346886729
skipped known factor: 9734540416718881
skipped known factor: 79756687312821920818433
--8.528--10.002%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2014-09-04T09:36:00TJAOIManual testing??53.112160.0000.8380.000
2022-01-18T07:19:04Jocelyn LaroucheManual testing267268--7.998--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.149 GHz-days
Estimated T-Level:0.050
DigitsB1CurvesCompleteFacMiss
20110001 / 1000.01099.000%
25500001 / 2800.00499.643%

New Calculation Method

Total ECM effort:0.149 GHz-days
Estimated T-Level:0.050
DigitsB1CompleteFacMiss
20110000.03296.826%
25500000.00399.709%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.149


Lucas-Lehmer results:
No L-L results for M3737131


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-11T23:50:25Oliver KruseGTX-0
161456346886729
9734540416718881
13072FE1AEFD99__no
2017-12-19T12:35:54kkmrkkblmbrbkc4.xlarge
161456346886729
9734540416718881
13072FE1AEFD99__no
2018-11-17T05:42:56Oliver KruseGTX-7
161456346886729
9734540416718881
1073241228883391718769
13072FE1AEFD99__no
2020-11-18T03:57:34arnaudSRV-130
161456346886729
9734540416718881
1073241228883391718769
79756687312821920818433
13072FE1AEFD9996no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 1010447130 (P-1 stage 2)
B1 = 1000000, B2 = 431367300 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 373713, B2 = 3737131 (P-1 stage 2)
B1 = 373713 (P-1 stage 1)
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TF factor-bounds graph:
268
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Last modified: 2022-03-21T14:12:59+00:00