is 2 13782553 - 1
has 4148962 decimal digits
takes 6.115 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 L-L tests remaining
ResidueStatus
L-LA5627B09010F8925double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27269.387366.6667%20000001420000006.19386.8609%75.581068.9536%2.2870%
PrimeNet2650.529363.0769%6000019000000.10313.9928%0.632464.5512%1.4743%
GPU722698.662265.2174%9000022000000.13192.7911%8.794066.1882%0.9708%
Difference+3+60.7251+1.4493%+1910000+139800000+6.0619+4.0698%+66.7870+2.7654%+2.7654%

Known prime factors (1 factor, 72.8 bits, 0.00052821% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1378255382304420375618749716972272.801298581911405016
23 × 3 × 43 × 63397 × 4563679
2021-09-29633974563679120.400.19850.2988

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-08T00:00:00ANONYMOUSv4_computers1550001666250---0.153--2.026%
2021-09-29T18:00:49Architects Cubedgpu7220000001420000002272.8016.19412.2312.396.861%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-07-25T00:00:00ANONYMOUSv4_computers?264--0.142--
2000-08-01T00:00:00ANONYMOUSv4_computers?265--0.271--
2014-07-02T04:17:00NesowaManual testing265266--0.542--
2015-08-20T10:16:00NesowaManual testing266267--1.084--
2017-12-22T13:48:42-Anonymous-Manual testing267268--2.169--
2018-01-14T22:56:53ramgeisManual testing268269--4.338--
2021-08-09T19:52:49SRBaseManual testing269270--8.675--
2021-09-04T06:52:26SRBaseManual testing270271--17.35--
2021-09-05T17:32:02ChuckGPU72_TF271272--34.70--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.675 GHz-days
Estimated T-Level:0.050
DigitsB1CurvesCompleteFacMiss
20110001 / 1000.01099.000%
25500001 / 2800.00499.643%

New Calculation Method

Total ECM effort:0.675 GHz-days
Estimated T-Level:0.050
DigitsB1CompleteFacMiss
20110000.03296.826%
25500000.00399.709%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.675


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-02-17T00:00:00ANONYMOUSv4_computersA5627B09010F89256.115
2005-05-28T00:00:00Sturle Sundev4_computersA5627B09010F89256.115


PRP results:
Exponent "13782553" not found


P-1 factor-bounds graph:
B1 = 2000000, B2 = 142000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 155000, B2 = 1666250 (P-1 stage 2)
B1 = 155000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
250
260
270
280
290
2100
Last modified: 2021-09-29T18:00:49+00:00