is 2 3128401 - 1
has 941743 decimal digits
takes 0.266 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L7591D61D9BF91002double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26819.052867.6471 %31284016374375704.651010.4098 %23.703971.0149 %
Target2641.137765.6250 %1500012000000.00981.5422 %1.147666.1551 %
Difference+4+17.9151+2.0221 %+3113401+636237570+4.6412+8.8677%+22.5563+4.8598 %

Known prime factors (1 factor, 83.4 bits, 0.00266534% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3128401126072469192562047692798412683.3822014966578654111920
24 × 5 × 449 × 56095951521551
2020-12-2244956095951521551626,177377,177704,461

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2004-02-07ANONYMOUSv4_computers2048204800--0.0020.575%
2009-07-03Carsten Kossendeymother15000180000--0.0031.416%
2011-08-31Squeeky_SquirrelT7500_220010500021525006--0.0274.067%
2011-09-22ANONYMOUSv4_computers1000010000--0.0010.316%
2016-10-01Squeeky_Squirreli5-5250U_1600195000546000012--0.0595.365%
2018-07-17JossManual testing6921442076432---4.822%
2018-07-18JossManual testing6921442768576---5.190%
2018-07-18JossManual testing6921444152864--0.1095.712%
2018-12-15mikrMSI300000010000000012--1.02210.996%
2021-01-18JossManual testing72214431284016---5.360%
2021-11-22JossManual testing31284013128401--0.3865.511%
2021-12-19JossManual testing3128401108997350--1.35511.154%
2021-12-22JossManual testing3128401637437570--5.73913.855%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-05-06David Campeauv4_computers212600.025
2009-04-13S485122USB-A2602610.049
2011-11-13markroldgamer2612620.098
2013-01-07dbaughManual testing2622630.314
2015-02-11VictordeHollanderManual testing2632640.628
2015-02-11VictordeHollanderManual testing2642651.194
2015-06-14ThaManual testing2652662.389
2021-02-18JossManual testing265266
2017-04-15Gordon SpenceManual testing2662674.777
2021-02-18JossManual testing266267
2019-01-07TJAOIManual testing2672689.55


ECM factoring results:
Total ECM effort:2.699 GHz-days
Estimated T-Level:4.615
DigitsB1CompleteFacMiss
20110000.92339.729%
25500000.08591.814%
302500000.00599.463%


ECM Summary

B1B2factorcurvesGHz-days
500005000000222.465
50000500000020.234


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-04-15ANONYMOUSv4_computers7591D61D9BF910020.266
1999-08-07ANONYMOUSv4_computers7591D61D9BF910020.266


PRP results:
dateuseridcompidcofactorsres64
2020-12-23Niels_Mache_Nextcloudconf4-a
12607246919256204769279841
BE76488FA46F1671


CERT results:
dateuseridcompid
2020-12-23ky0urakuvms1


P-1 factor-bounds graph:
B1 = 3128401, B2 = 637437570 (P-1 stage 2)
B1 = 3128401, B2 = 108997350 (P-1 stage 2)
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3128401 (P-1 stage 1)
B1 = 3000000 (P-1 stage 1)
B1 = 692144, B2 = 4152864 (P-1 stage 2)
B1 = 722144, B2 = 3128401 (P-1 stage 2)
B1 = 692144, B2 = 2768576 (P-1 stage 2)
B1 = 692144, B2 = 2076432 (P-1 stage 2)
B1 = 722144 (P-1 stage 1)
B1 = 692144 (P-1 stage 1)
B1 = 195000, B2 = 5460000 (P-1 stage 2)
B1 = 105000, B2 = 2152500 (P-1 stage 2)
B1 = 195000 (P-1 stage 1)
B1 = 105000 (P-1 stage 1)
B1 = 15000, B2 = 180000 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
101
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105
106
107
101
102
103
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109
1010
1011
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1014
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=4.62 ~= -1-bit
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Last modified: 2024-02-29T14:28:04+00:00