is 2 2783959 - 1
has 838056 decimal digits
takes 0.215 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LBE2247B6670E3663double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26942.883868.1159 %3000000900000000.86687.2152 %43.750670.4164 %
Target2630.573365.0794 %1500012000000.00891.7479 %0.582265.6898 %
Difference+6+42.3105+3.0366 %+2985000+88800000+0.8579+5.4673%+43.1684+4.7267 %

Known prime factors (1 factor, 72.5 bits, 0.00260532% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
278395968242851471430532672812272.5311225643974487960
23 × 5 × 22441 × 1365407039
2021-07-23224411365407039343.528.333615.560

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-11-17ANONYMOUSv4_computers2048204800--0.0010.681%
2010-11-11JossManual testing1500015000--0.0020.514%
2010-11-25markrtiny10000020750006--0.0264.404%
2014-10-28JossManual testing123055123055--0.0151.856%
2016-05-02JossManual testing20000036000006--0.0485.407%
2017-07-20JossManual testing40000040000006--0.0745.915%
2019-11-15BigBrotherWinston30000009000000012--0.84511.551%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.055
2009-01-28Sturle Sundegimba.ifi2602610.055
2012-04-04Grant McCrackenhome2612620.110
2013-01-14dbaughManual testing2622630.353
2015-04-21VictordeHollanderManual testing2632640.705
2015-04-21VictordeHollanderManual testing2642651.342
2016-02-08ramgeisManual testing2652662.684
2017-10-16Gordon SpenceManual testing2662675.368
2019-02-25chuenkitManual testing26726810.74
2021-07-08TJAOIManual testing26826921.47


ECM factoring results:
Total ECM effort:10.049 GHz-days
Estimated T-Level:21.747
DigitsB1CompleteFacMiss
20110003.7792.285%
25500000.34970.507%
302500000.02297.816%
3510000000.00199.897%


ECM Summary

B1B2factorcurvesGHz-days
500005000000828.297
50000645000010.117
500006750000141.635


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-26ANONYMOUSv4_computersBE2247B6670E36630.215
2018-08-26kkmrkkblmbrbkoldBE2247B6670E36630.210


PRP results:
dateuseridcompidcofactorsres64
2021-07-24kutenssol
6824285147143053267281
3C21C67EECB86F6C


CERT results:
dateuseridcompid
2021-07-24WeakForceBosonJOHN875tommy2


P-1 factor-bounds graph:
B1 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 400000, B2 = 4000000 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 200000, B2 = 3600000 (P-1 stage 2)
B1 = 100000, B2 = 2075000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 123055 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
269
268
267
266
265
264
263
262
261
260
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=21.75 ~= 56-bit
250
260
270
280
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Last modified: 2024-02-09T03:30:02+00:00