is 2 286243 - 1
has 86168 decimal digits
takes 0.002 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
Actualunknown50000500000.000514.8793%0.000514.8793%14.8793%
PrimeNet2400.000052.5000%3000800000.000115.0573%0.000159.6522%7.1522%
GPU722440.000056.8182%50001300000.000110.8747%0.000161.5141%4.6959%
Difference-440.0000-56.8182%+45000-80000+0.0004+4.0046%+0.0004-46.6348%-46.6348%

Known prime factors (3 factors, 179.3 bits, 0.06265326% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
28624313602267371030.3412376
23 × 33 × 11
-27277.567e-102.675e-75.445e-7
28624354086995132849857831962.2309447741103337
23 × 127 × 3234420097
2014-09-0512732344200974.83121.74603.2611
2862431318823876795375758243249372786.769230367882672305656076
22 × 61 × 1201489 × 785800508111
2020-06-261201489785800508111101,629,008424.21792.29

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
28624373570576903691243627014800712892.571
28624317938994986110639843241159428324056936117.111
28624371331220605317669194298942942987279361737067145148.999
28624397026633450198418016606670161888764038723053433383
0527
54179.341
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-02-06T16:47:55Lisander ViaeneManual testing5000050000-
skipped known factor: 1360226737
--0.000--9.695%


Trial Factoring results:
No TF results for M286243


ECM factoring results:

Old Calculation Method

Total ECM effort:17.728 GHz-days
Estimated T-Level:28.063
DigitsB1CurvesCompleteFacMiss
2011000673 / 1006.7300.115%
2550000673 / 2802.4049.001%
30250000392 / 6400.61354.173%

New Calculation Method

Total ECM effort:17.728 GHz-days
Estimated T-Level:28.063
DigitsB1CompleteFacMiss
201100041.7310.000%
25500005.6480.353%
302500000.57456.336%
3510000000.04695.540%
4030000000.00399.701%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002812.056
250000250000001575.743
2500002500000010.037
2500003425000070.288
250000367500002279.61


Lucas-Lehmer results:
No L-L results for M286243


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T12:32:07Oliver KruseDoppelherz
1360226737
5408699513284985783
2EBDBE98CE959B__no
2017-09-22T20:36:28Oliver KruseManual testing
1360226737
5408699513284985783
2EBDBE98CE959B__no
2017-09-24T17:45:26Oliver KruseManual testing
1360226737
5408699513284985783
2EBDBE98CE959B__no
2017-11-06T20:03:12kkmrkkblmbrbkc4.xlarge
1360226737
5408699513284985783
2EBDBE98CE959B__no
2020-04-17T22:10:23Oliver KruseAddPrpType5
1360226737
5408699513284985783
907B8670B406C4__no
2020-06-25T05:20:31CrypticClueManual testing
1360226737
5408699513284985783
131882387679537575824324937
907B8670B406C4F8no


P-1 factor-bounds graph:
B1 = 50000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
230
240
250
260
270
280
290
2100
Last modified: 2022-04-28T12:36:22+00:00