is 2 3545051 - 1
has 1067167 decimal digits
takes 0.372 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L7E4C3CF84BB9A5A1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272269.765869.4444 %5000001303648501.15374.8750 %270.919570.9340 %
Target2641.004065.6250 %2000018000000.01781.9199 %1.021866.2850 %
Difference+8+268.7618+3.8194 %+480000+128564850+1.1358+2.9551%+269.8977+4.6491 %

Known prime factors (1 factor, 89.4 bits, 0.00252239% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
35450518282025796220659774719962632789.420116811095189048899081
2549 × 1275283 × 35934175943
2021-07-1212752833593417594335,365,294298.34556.87

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-07-06Carsten Kossendeymother20000245000--0.0051.723%
2011-11-30USAFSSP4_2600600009900006--0.0173.164%
2014-08-07JossManual testing7810578105--0.0121.342%
2014-11-17JossManual testing9621096210--0.0151.498%
2015-12-10HBendtzManual testing5000001200000012--0.1596.990%
2022-03-01JossManual testing100000100000--0.0151.528%
2022-05-13JossManual testing500000130364850--1.37010.014%


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-03-31ANONYMOUSv4_computers212600.022
2009-03-16S485122USB-Z2602610.043
2011-06-27markroldgamer2612620.087
2012-06-20GrunwalderGIMPManual testing212630.450
2016-02-23Mark RoseManual testing2622630.277
2015-01-27VictordeHollanderManual testing2632640.554
2015-01-27VictordeHollanderManual testing2642651.054
2016-03-03ramgeisManual testing2652662.108
2017-01-13Gordon SpenceManual testing2662674.216
2018-10-08TJAOIManual testing2672688.432
2021-01-23axnManual testing26826916.86
2021-03-18ANONYMOUSManual testing26927033.73
2021-03-18ANONYMOUSManual testing27027167.45
2021-03-19ANONYMOUSManual testing271272134.9


ECM factoring results:
Total ECM effort:4.137 GHz-days
Estimated T-Level:20.499
DigitsB1CompleteFacMiss
20110001.07734.064%
25500000.10090.510%
302500000.00699.371%


ECM Summary

B1B2factorcurvesGHz-days
500005000000152.073
50000680000071.204
50000680000050.860


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-04-05ANONYMOUSv4_computers7E4C3CF84BB9A5A10.372
1998-07-21ANONYMOUSv4_computers7E4C3CF84BB9A5A10.372
1999-07-27Toddv4_computers7E4C3CF84BB9A5A10.372
2002-07-14Toddv4_computers7E4C3CF84BB9A5A10.372


PRP results:
dateuseridcompidcofactorsres64
2021-07-14kutenssol
828202579622065977471996263
5A50E6B88C6561E8


CERT results:
dateuseridcompid
2021-07-14curtiscwcm201--38l


P-1 factor-bounds graph:
B1 = 500000, B2 = 130364850 (P-1 stage 2)
B1 = 500000, B2 = 12000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 60000, B2 = 990000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 96210 (P-1 stage 1)
B1 = 78105 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 20000, B2 = 245000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
263
262
261
260
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=20.5 ~= 51-bit
250
260
270
280
290
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Last modified: 2024-02-09T03:30:02+00:00