is 2 1363027 - 1
has 410313 decimal digits
takes 0.052 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LFBC0975B9D19E3AEdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26721.799968.6567%500000150000000.07144.8914%21.871470.1898%1.5331%
PrimeNet2560.007062.5000%60001000000.00062.6180%0.007763.4817%0.9817%
GPU722600.112765.0000%5500400000.00040.9838%0.113165.3443%0.3443%
Difference+7+21.6873+3.6567%+494500+14960000+0.0710+3.9076%+21.7583+4.8455%+4.8455%

Known prime factors (2 factors, 141.1 bits, 0.01035058% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1363027114363116830668948172063.3104195188973904
24 × 173 × 1515602953
2013-11-0517315156029531.82074.57158.5382
13630272578538536688003386474632477.77194588681540717953
32 × 19 × 31 × 751207 × 23753179
2018-09-287512072375317944,7810.11100.1338

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1363027294889703923632281182225670247358906489927143141.081
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-21T00:00:00ANONYMOUSv4_computers15000225000---0.001--0.808%
unknown50000015000000---0.071--4.891%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-11-03T00:00:00ANONYMOUSv4_computers21257--0.014--
2003-06-30T00:00:00ANONYMOUSv4_computers21258--0.028--
2022-03-07T17:32:37LordJuliusManual testing258260--0.085--
2009-02-16T03:40:00Sturle Sundehindemith.ifi260261--0.113--
2011-05-09T14:43:00XyzzyManual testing261262--0.225--
2013-01-23T08:20:00dbaughManual testing262263--0.720--


ECM factoring results:

Old Calculation Method

Total ECM effort:25.152 GHz-days
Estimated T-Level:25.391
DigitsB1CurvesCompleteFacMiss
2011000299 / 1002.9904.954%
2550000299 / 2801.06834.309%
3025000050 / 6400.07892.479%

New Calculation Method

Total ECM effort:25.152 GHz-days
Estimated T-Level:25.391
DigitsB1CompleteFacMiss
201100014.5770.000%
25500001.64419.326%
302500000.14086.905%
3510000000.01099.023%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000021910.26
500005000000301.405
250000350000005013.49


Lucas-Lehmer results:
No L-L results for M1363027


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T09:19:01Oliver KruseGTX-0
11436311683066894817
A9F45B8B1C65F1__no
2017-10-25T00:13:15kkmrkkblmbrbkc4.xlarge
11436311683066894817
A9F45B8B1C65F1__no
2018-09-28T18:31:52camajuLenovo-L470
11436311683066894817
257853853668800338647463
7CF42F831F111B__no
2018-09-28T18:44:39ANONYMOUS
11436311683066894817
257853853668800338647463
7CF42F831F111B__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 15000, B2 = 225000 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
101
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104
105
106
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
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262
261
260
258
257
250
260
270
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290
2100
Last modified: 2022-03-07T17:32:37+00:00