is 2 11027 - 1
has 3320 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LCA0430863E019014double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2672,694.651179.1045%100000000001000000000002.833317.2157%2,697.484482.7018%3.5973%
PrimeNet2400.000065.0000%500100000.00003.1576%0.000066.1052%1.1052%
GPU722440.000268.1818%500100000.00001.3023%0.000268.5962%0.4144%
Difference+23+2,694.6509+10.9227%+9999999500+99999990000+2.8333+15.9135%+2,697.4842+14.1056%+14.1056%

Known prime factors (1 factor, 167.6 bits, 1.52012601% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1102728836387219176889205055127927015005494573676565527
9
51167.62413075354683584333547227318367196429443445033357
27967 × 447137 × 1045603401396896643453206709042278483
2017-04-1544713710456034013968966434532067090422784831.577e+131.083e+252.023e+25

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-29T00:00:00ANONYMOUSv4_computers10000010000000---0.000--1.660%
2001-07-17T00:00:00Alex Kruppav4_computers1000000100000000---0.001--4.227%
2001-09-22T00:00:00ANONYMOUSv4_computers430000004290000000---0.052--10.498%
2002-04-28T00:00:00ANONYMOUSv4_computers163841638400---1.99153e-5--0.526%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---3.98305e-5--0.867%
2002-07-14T00:00:00ANONYMOUSv4_computers655366553600---7.96610e-5--1.323%
2003-02-02T00:00:00ANONYMOUSv4_computers13107213107200---0.000--1.899%
2003-03-27T00:00:00ANONYMOUSv4_computers26214426214400---0.000--2.591%
2003-04-03T00:00:00ANONYMOUSv4_computers52428852428800---0.001--3.391%
2003-04-27T00:00:00ANONYMOUSv4_computers1048576104857600---0.001--4.291%
2003-05-19T00:00:00ANONYMOUSv4_computers2097152209715200---0.003--5.283%
2003-07-06T00:00:00ANONYMOUSv4_computers4194304419430400---0.005--6.361%
2003-09-29T00:00:00ANONYMOUSv4_computers8388608838860800---0.010--7.518%
2003-09-29T00:00:00ANONYMOUSv4_computers167772161677721600---0.020--8.748%
2006-01-15T00:00:00Jocelyn Larouchev4_computers110000000110000000---0.021--5.845%
2006-01-15T00:00:00Jocelyn Larouchev4_computers200000000200000000---0.038--6.673%
2006-01-15T00:00:00Jocelyn Larouchev4_computers300000000300000000---0.057--7.258%
2010-05-17T06:11:00James Hintzhome2200000000050000000000---0.877--15.783%
2012-12-31T00:59:00bcp19Toshiba-740Q10000000000100000000000---2.833--17.216%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-09-14T00:00:00ANONYMOUSv4_computers252253--0.054--
1999-12-30T00:00:00ANONYMOUSv4_computers253254--0.109--
2000-06-28T00:00:00ANONYMOUSv4_computers21255--0.435--
2000-06-29T00:00:00ANONYMOUSv4_computers21255--0.435--
2000-08-24T00:00:00ANONYMOUSv4_computers21256--0.871--
2002-07-27T00:00:00ANONYMOUSv4_computers21257--1.741--
2016-02-23T04:50:56LaurVManual testing257258--1.741--
2010-07-20T15:24:00George WoltmanManual testing258259--3.482--
2010-07-20T15:24:00George WoltmanManual testing259260--6.964--
2012-11-08T17:57:00bcp19Manual testing260261--13.93--
2015-07-16T00:48:00snme2pm1G4261262--27.86--
2015-11-14T05:15:34snme2pm1G1262263--89.02--


ECM factoring results:

Old Calculation Method

Total ECM effort:486.374 GHz-days
Estimated T-Level:44.033
DigitsB1CurvesCompleteFacMiss
20110008197 / 10081.9700.000%
25500008197 / 28029.2750.000%
302500008197 / 64012.8080.000%
3510000008197 / 15665.2340.532%
4030000007827 / 45881.70618.156%
45110000007422 / 92010.80744.633%
50440000001547 / 165500.09391.076%
5511000000076 / 408300.00299.814%

New Calculation Method

Total ECM effort:486.374 GHz-days
Estimated T-Level:44.033
DigitsB1CompleteFacMiss
20110002,147.6670.000%
2550000767.8610.000%
30250000201.2710.000%
35100000042.7600.000%
4030000007.9160.036%
45110000001.29227.463%
50440000000.18982.747%
551100000000.02697.481%
602600000000.00399.684%


ECM Summary

B1B2factorcurvesGHz-days
10000001000000003701.012
30000003000000004053.324
1100000011000000005,875176.8
4400000044000000001,397168.2
440000004400000000192.287
4400000024000000000050110.8
110000000110000000007622.87
113000000110000000051.092


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11T05:57:00MadPooManual testingCA0430863E0190141.44576e-6


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:05:27Oliver KruseOliver-PCAEB7E856FE320B__?
2017-09-21T19:21:54Oliver KruseManual testingAEB7E856FE320B__?
2017-10-02T10:03:55kkmrkkblmbrbkManual testing
28836387219176889205055127927015005494573676565527
9
AEB7E856FE320B__no
2017-12-07T02:54:35ATHManual testing
28836387219176889205055127927015005494573676565527
9
AEB7E856FE320B__no
2020-04-17T13:47:12Oliver KruseManual testing
28836387219176889205055127927015005494573676565527
9
A64F858E04131F__no


P-1 factor-bounds graph:
B1 = 10000000000, B2 = 100000000000 (P-1 stage 2)
B1 = 10000000000 (P-1 stage 1)
B1 = 2000000000, B2 = 50000000000 (P-1 stage 2)
B1 = 2000000000 (P-1 stage 1)
B1 = 300000000 (P-1 stage 1)
B1 = 43000000, B2 = 4290000000 (P-1 stage 2)
B1 = 200000000 (P-1 stage 1)
B1 = 110000000 (P-1 stage 1)
B1 = 16777216, B2 = 1677721600 (P-1 stage 2)
B1 = 8388608, B2 = 838860800 (P-1 stage 2)
B1 = 43000000 (P-1 stage 1)
B1 = 4194304, B2 = 419430400 (P-1 stage 2)
B1 = 16777216 (P-1 stage 1)
B1 = 2097152, B2 = 209715200 (P-1 stage 2)
B1 = 8388608 (P-1 stage 1)
B1 = 1048576, B2 = 104857600 (P-1 stage 2)
B1 = 1000000, B2 = 100000000 (P-1 stage 2)
B1 = 4194304 (P-1 stage 1)
B1 = 524288, B2 = 52428800 (P-1 stage 2)
B1 = 2097152 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1048576 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 524288 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-04-17T13:47:12+00:00