is 2 4767181 - 1
has 1435065 decimal digits
takes 0.628 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 PRP tests remaining
ResidueStatus
L-L035D786C9BF6836Bdouble-checked
PRPD853D8A57B11218FPRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual271100.285367.6056 %2800001136366701.23264.9371 %101.517969.2050 %
Target2651.530464.6154 %3000032500000.03922.2840 %1.569665.4236 %
Difference+6+98.7549+2.9902 %+250000+110386670+1.1933+2.6531%+99.9483+3.7814 %

Known prime factors (1 factor, 73.5 bits, 0.00154106% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4767181130358570773455659968812373.4651367250066375240
23 × 3 × 5 × 103 × 187081 × 591289
2021-09-02187081591289599.290.03990.0727

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-09-08Carsten Kossendeymother30000412500--0.0102.027%
2013-09-29Squeeky_SquirrelT7500_220016500041662506--0.0734.737%
2021-09-02LaurVManual testing8919937891993712373.4651.7936.917%
2022-09-09USAFSS6917th_Scty_Sq280000113636670
skipped known factor: 13035857077345565996881
--1.4788.697%


Trial Factoring results:
575859606162636465666768697071
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212610.064
2010-05-26markrManual testing2612620.064
2011-11-05GrunwalderGIMPManual testing212630.335
2016-02-23Mark RoseManual testing2622630.206
2015-01-09VictordeHollanderManual testing2632651.196
2015-07-15snme2pm1Manual testing2652661.568
2017-12-11YxinityManual testing2662673.135
2018-09-25YxinityManual testing2672686.270
2021-05-03TJAOIManual testing26826912.54
2021-08-21SRBaseManual testing26927025.08
2021-08-31One ManManual testing27027150.16


ECM factoring results:
Total ECM effort:1.613 GHz-days
Estimated T-Level:1.731
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
50000500000091.613


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-07-05ANONYMOUSv4_computers035D786C9BF6836B0.628
2000-03-01ANONYMOUSv4_computers035D786C9BF6836B0.628


PRP results:
dateuseridcompidcofactorsres64
2021-09-02LaurVbutu
13035857077345565996881
D853D8A57B11218F


CERT results:
dateuseridcompid
2021-09-02LordJuliusDarkTower


P-1 factor-bounds graph:
B1 = 8919937 (P-1 stage 1)
B1 = 280000, B2 = 113636670 (P-1 stage 2)
B1 = 165000, B2 = 4166250 (P-1 stage 2)
B1 = 280000 (P-1 stage 1)
B1 = 165000 (P-1 stage 1)
B1 = 30000, B2 = 412500 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
TF factor-bounds graph:
271
270
269
268
267
266
265
263
262
261
this exponent TF target: 65
TF double-checked to: 67
ECM T-Level=1.73 ~= -11-bit
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00