is 2 289019 - 1
has 87004 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L4415430BB4684D30double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267102.809671.6418%120000005000000000.38239.6738%103.191974.3851%2.7433%
PrimeNet2400.000052.5000%3000800000.000115.0772%0.000159.6617%7.1617%
GPU722440.000056.8182%50001300000.000110.8902%0.000161.5208%4.7026%
Difference+23+102.8096+14.8236%+11995000+499870000+0.3822-1.2164%+103.1918+12.8643%+12.8643%

Known prime factors (1 factor, 91.1 bits, 0.03151087% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
28901926032850433830332018511475432891.0724503657274059894335409
3 × 97 × 1495265623 × 10350325213
2015-12-211495265623103503252133.046e+919.59630.152

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-20T00:00:00ANONYMOUSv4_computers1000004000000---0.003--2.295%
2001-07-07T00:00:00ANONYMOUSv4_computers10000010000000---0.006--2.772%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.594%
2002-08-17T00:00:00ANONYMOUSv4_computers655366553600---0.004--2.286%
2003-03-16T00:00:00ANONYMOUSv4_computers13107213107200---0.008--3.106%
2003-12-02T00:00:00ANONYMOUSv4_computers26214426214400---0.017--4.043%
2006-01-15T00:00:00Jocelyn Larouchev4_computers289019289019---0.003--1.155%
2011-07-26T07:33:00Jocelyn LaroucheManual testing16610881661088---0.016--2.476%
2012-08-09T23:58:00markrManual testing12000000500000000---0.382--9.674%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24T00:00:00ANONYMOUSv4_computers252253--0.002--
2000-05-05T00:00:00ANONYMOUSv4_computers21254--0.008--
2022-03-07T06:11:45LordJuliusManual testing254255--0.008--
2001-02-25T00:00:00ANONYMOUSv4_computers21256--0.033--
2002-03-03T00:00:00ANONYMOUSv4_computers21257--0.066--
2004-02-07T00:00:00ANONYMOUSv4_computers21258--0.133--
2009-01-05T07:22:00Sturle Sundeagrell.ifi258259--0.133--
2009-01-26T01:38:00Sturle Sundeghibu.ifi259260--0.266--
2013-06-27T20:29:00lycornasteroid260261--0.531--
2015-08-13T13:31:00NRManual testing261262--1.063--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.134 GHz-days
Estimated T-Level:26.289
DigitsB1CurvesCompleteFacMiss
2011000446 / 1004.4601.131%
2550000446 / 2801.59320.276%
30250000165 / 6400.25877.258%

New Calculation Method

Total ECM effort:8.134 GHz-days
Estimated T-Level:26.289
DigitsB1CompleteFacMiss
201100022.8150.000%
25500002.8106.018%
302500000.26576.688%
3510000000.02098.001%
4030000000.00199.872%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002812.056
250000250000001555.671
2500002500000030.110
2500003675000070.296


Lucas-Lehmer results:
No L-L results for M289019


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T12:51:20Oliver KruseOllaptop
2603285043383033201851147543
FC24170F33FEA0__no
2017-09-22T20:36:32Oliver KruseManual testing
2603285043383033201851147543
FC24170F33FEA0__no
2017-10-12T19:58:22Oliver KruseGTX-0FC24170F33FEA0__no
2017-11-06T20:59:03kkmrkkblmbrbkc4.xlarge
2603285043383033201851147543
FC24170F33FEA0__no
2020-04-17T22:12:52Oliver KruseAddPrpType5
2603285043383033201851147543
CE5D386085887A__no


P-1 factor-bounds graph:
B1 = 12000000, B2 = 500000000 (P-1 stage 2)
B1 = 12000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1661088 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 289019 (P-1 stage 1)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
103
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105
106
107
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1010
103
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107
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1010
1011
TF factor-bounds graph:
267
262
261
260
259
258
257
256
255
254
253
250
260
270
280
290
2100
Last modified: 2022-04-09T15:14:32+00:00