is 2 4390279 - 1
has 1321606 decimal digits
takes 0.548 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LBB8ACFC4BA127708double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual273435.700068.4932 %2600001117073101.14513.9301 %436.845169.7314 %
Target2651.661864.6154 %2600025000000.02912.0310 %1.690965.3341 %
Difference+8+434.0382+3.8778 %+234000+109207310+1.1160+1.8991%+435.1542+4.3974 %

Known prime factors (1 factor, 74.1 bits, 0.00168811% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4390279204258306859708482595932374.1132326256564328924
22 × 3 × 317 × 49529 × 12346889
2022-10-0849529123468891,509.80.13010.2272

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-03-25ANONYMOUSv4_computers20000215000--0.0061.493%
2011-04-25USAFSSP4_2600500007750006--0.0162.634%
2013-09-21Squeeky_SquirrelT7500_220015000036750006--0.0624.508%
2022-10-08Kevin_9611FF26000011170731022374.1131.2738.515%


Trial Factoring results:
5758596061626364656667686970717273
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-06-01ANONYMOUSv4_computers212600.017
1998-09-06ANONYMOUSv4_computers212610.035
2010-11-06markroldgamer2612620.070
2012-01-19GrunwalderGIMPManual testing212630.363
2016-02-23Mark RoseManual testing2622630.224
2014-07-27JayderManual testing2632640.447
2014-07-28lycornManual testing2642650.851
2015-06-20snme2pm1Manual testing2652661.702
2018-05-04chuenkitManual testing2662673.404
2018-10-30chuenkitManual testing2672686.808
2021-01-23ANONYMOUSManual testing26827040.85
2021-01-31ANONYMOUSManual testing270272163.4
2021-02-10ANONYMOUSManual testing272273217.9


ECM factoring results:
Total ECM effort:2.009 GHz-days
Estimated T-Level:2.308
DigitsB1CompleteFacMiss
20110000.46263.031%
25500000.04395.819%
302500000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
500005000000122.009


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-21ANONYMOUSv4_computersBB8ACFC4BA1277080.548
1999-11-10ANONYMOUSv4_computersC97794F550CE57DE0.548
2001-04-21ANONYMOUSv4_computersBB8ACFC4BA1277080.548


PRP results:
dateuseridcompidcofactorsres64
2022-10-14PerigManual testing
20425830685970848259593
FD148682E4D4D7BF


CERT results:
dateuseridcompid
2022-10-14MathEnthousiastrene-AMD3950x


P-1 factor-bounds graph:
B1 = 260000, B2 = 111707310 (P-1 stage 2)
B1 = 150000, B2 = 3675000 (P-1 stage 2)
B1 = 260000 (P-1 stage 1)
B1 = 150000 (P-1 stage 1)
B1 = 50000, B2 = 775000 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 215000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
109
TF factor-bounds graph:
273
272
270
268
267
266
265
264
263
262
261
260
this exponent TF target: 65
TF double-checked to: 67
ECM T-Level=2.31 ~= -9-bit
250
260
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280
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Last modified: 2024-03-13T02:15:48+00:00