is 2 556103 - 1
has 167404 decimal digits
takes 0.008 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
Actual26753.432470.1493%1500000500000000.08766.1703%53.520071.9911%1.8419%
PrimeNet2400.000050.0000%55001900000.000319.7966%0.000359.8983%9.8983%
GPU722440.000054.5455%100003200000.000615.0052%0.000661.3660%6.8206%
Difference+23+53.4324+15.6038%+1490000+49680000+0.0870-8.8349%+53.5194+10.6251%+10.6251%

Known prime factors (3 factors, 177.4 bits, 0.03190047% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
55610379269068177591342.8507127193
3 × 71 × 33461
-71334611.773e-63.997e-57.200e-5
5561032737880584960811547.960246166680
23 × 3 × 5 × 499 × 4111
2008-09-3049941116.174e-51.471e-52.147e-5
5561031164221302175812858353521832786.589104676768707938354797
3 × 83401 × 418367360534999
2020-09-048340141836736053499929,260,535481,994900,231

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
55610321702924275135843830827024792890.810
55610392286737775977118477502295496756381789739129.439
5561033187498899824950448647192378811796029482341134.550
55610325267006760621711483035775086036891321634930037216
1657
54177.399
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-17T18:48:43alpertronManual testing15000005000000012-
skipped known factor: 7926906817759
skipped known factor: 273788058496081
--0.088--6.170%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-30T13:18:00markrManual testing??47.960152.80225e-50.0175.85273e-5


ECM factoring results:

Old Calculation Method

Total ECM effort:24.350 GHz-days
Estimated T-Level:26.914
DigitsB1CurvesCompleteFacMiss
2011000526 / 1005.2600.506%
2550000526 / 2801.87915.230%
30250000245 / 6400.38368.174%

New Calculation Method

Total ECM effort:24.350 GHz-days
Estimated T-Level:26.914
DigitsB1CompleteFacMiss
201100029.4810.000%
25500003.7712.303%
302500000.36969.139%
3510000000.02997.159%
4030000000.00299.814%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002814.543
2500002500000014411.64
250000250000001018.165


Lucas-Lehmer results:
No L-L results for M556103


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T10:54:57Oliver KruseGTX-3
7926906817759
273788058496081
2DB8C0C2105CE2__no
2017-09-28T09:43:12Oliver KruseManual testing
7926906817759
273788058496081
2DB8C0C2105CE2__no
2017-11-09T05:36:04kkmrkkblmbrbkc4.large
7926906817759
273788058496081
2DB8C0C2105CE2__no
2020-04-19T06:33:33Oliver KruseAddPrpType5
7926906817759
273788058496081
94D805DACA4205__no
2020-09-04T02:59:21ATHec2-PRPCF
7926906817759
273788058496081
116422130217581285835352183
94D805DACA420580no
2020-09-04T15:31:04atrenchThinkpad
7926906817759
273788058496081
116422130217581285835352183
94D805DACA420580no


P-1 factor-bounds graph:
B1 = 1500000, B2 = 50000000 (P-1 stage 2)
B1 = 1500000 (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
1013
1014
1015
TF factor-bounds graph:
267
2
240
250
260
270
280
290
2100
Last modified: 2021-02-12T10:25:20+00:00