is 2 13782551 - 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 primality tests remaining
ResidueStatus
L-L754EC501441D7535double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27017.337265.7143%15500029837500.19892.9403%17.536166.7224%1.0081%
PrimeNet2650.529363.0769%6000019000000.10313.9928%0.632464.5512%1.4743%
GPU722698.662265.2174%9000022000000.13192.7911%8.794066.1882%0.9708%
Difference+1+8.6750+0.4969%+65000+783750+0.0670+0.1493%+8.7420+0.5342%+0.5342%

Known prime factors (1 factor, 70.4 bits, 0.00051109% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1378255116031406288434747714092270.44158158341980504
23 × 1709 × 4253828407
2021-09-041709425382840718.479149.10278.48

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-03-01T00:00:00dave_0273v4_computers800001400000---0.098--2.172%
2015-06-30T00:04:00Sid & AndySpeck1550002983750---0.199--2.940%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-10-15T00:00:00ANONYMOUSv4_computers21265--0.529--
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--
2018-01-14T22:55:33ramgeisManual testing268269--4.338--
2021-08-08T08:14:49SRBaseManual testing269270--8.675--
2021-09-04T06:49:36SRBaseManual testing270271*70.441221.14212.432.320


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)
2005-04-11T00:00:00ANONYMOUSv4_computers754EC501441D75356.115


PRP results:
No PRP results for M13782551


P-1 factor-bounds graph:
B1 = 155000, B2 = 2983750 (P-1 stage 2)
B1 = 155000 (P-1 stage 1)
B1 = 80000, B2 = 1400000 (P-1 stage 2)
B1 = 80000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
271
270
269
268
267
266
265
250
260
270
280
290
2100
Last modified: 2021-09-04T06:49:36+00:00