is 2 2984521 - 1
has 898431 decimal digits
takes 0.254 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L0E356E7D4B70F918double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26940.002068.1159 %3000000900000000.95527.2662 %40.957270.4327 %
Target2641.192665.6250 %1300010000000.00821.3855 %1.200866.1013 %
Difference+5+38.8094+2.4909 %+2987000+89000000+0.9470+5.8807%+39.7564+4.3314 %

Known prime factors (1 factor, 92.2 bits, 0.00308980% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
298452157502862393814907828613231592892.216963351613103323914099
32 × 7 × 31 × 13187 × 37405596044209
2021-06-211318737405596044209336,058,669251,507469,745

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-12-13ANONYMOUSv4_computers2048204800--0.0020.568%
2003-12-23Team Prime Ribv4_computers1000010000--0.0010.313%
2010-10-24markrtiny10000020250006--0.0253.957%
2016-06-19JossManual testing19840040500006--0.0505.036%
2017-07-10JossManual testing39680039680006--0.0735.392%
2019-11-10BigBrotherWinston30000009000000012--0.95510.787%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-08-16ANONYMOUSv4_computers212600.026
2009-02-13Sturle Sundedoak.ifi2602610.051
2011-11-25Sebastian HornbostelManual testing2612620.103
2013-01-07dbaughManual testing2622630.329
2015-04-12lycornManual testing2632640.658
2015-04-12lycornManual testing2642651.252
2016-02-29ramgeisManual testing2652662.504
2017-12-03Gordon SpenceManual testing2662675.008
2018-12-27chuenkitManual testing26726810.02
2021-05-04TJAOIManual testing26826920.03


ECM factoring results:
Total ECM effort:9.079 GHz-days
Estimated T-Level:21.348
DigitsB1CompleteFacMiss
20110002.9085.457%
25500000.27076.364%
302500000.01798.311%


ECM Summary

B1B2factorcurvesGHz-days
500005000000647.511
50000635000070.908
50000675000040.661


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-09-07ANONYMOUSv4_computers0E356E7D4B70F9180.254
2018-10-20kkmrkkblmbrbkold0E356E7D4B70F9180.254


PRP results:
dateuseridcompidcofactorsres64
2021-06-22kutenssol
5750286239381490782861323159
1938E8469E23F879


CERT results:
dateuseridcompid
2021-06-22ky0urakudb1s


P-1 factor-bounds graph:
B1 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 396800, B2 = 3968000 (P-1 stage 2)
B1 = 198400, B2 = 4050000 (P-1 stage 2)
B1 = 396800 (P-1 stage 1)
B1 = 100000, B2 = 2025000 (P-1 stage 2)
B1 = 198400 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
TF factor-bounds graph:
269
268
267
266
265
264
263
262
261
260
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=21.35 ~= 54-bit
250
260
270
280
290
2100
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Last modified: 2024-02-09T03:30:02+00:00