is 2 2234233 - 1
has 672572 decimal digits
takes 0.147 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LE19D396325555AE0double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26713.299467.1642 %2000000650000000.51797.6579 %13.817369.6787 %
Target2620.275064.5161 %110009500000.00591.6576 %0.280965.1043 %
Difference+5+13.0244+2.6481 %+1989000+64050000+0.5120+6.0002%+13.5364+4.5744 %

Known prime factors (1 factor, 66.4 bits, 0.00297384% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22342331002677674691157869512166.44222438968422075
52 × 127 × 829 × 8525201
2016-01-0882985252016.61010.04440.0827

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-03-27ANONYMOUSv4_computers204820480012--0.0010.783%
2010-10-27Oscar Östlin7501175011--0.0071.596%
2011-01-14Oscar Östlin8500016150006--0.0164.414%
2014-06-01JossManual testing113728113728--0.0111.963%
2014-09-30JossManual testing142456142456--0.0142.181%
2015-11-30Alexander DubrovinManual testing100000050000006--0.1167.045%
2016-01-08Alexander DubrovinManual testing2000000650000001222166.4420.51811.421%
2016-04-16alpertronManual testing5000001500000012
skipped known factor: 100267767469115786951
---8.285%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-02-07ANONYMOUSv4_computers212580.017
2016-02-23Mark RoseManual testing2582600.052
2009-01-11Sturle Sundegoldiek.ifi2602610.069
2012-04-20Sebastian HornbostelManual testing2612620.137
2013-01-23dbaughManual testing2622630.439
2015-03-10VictordeHollanderManual testing2632640.879
2015-03-10VictordeHollanderManual testing2642651.672
2015-10-25ramgeisManual testing2652663.345


ECM factoring results:
Total ECM effort:9.671 GHz-days
Estimated T-Level:21.564
DigitsB1CompleteFacMiss
20110003.3443.531%
25500000.31373.134%
302500000.02098.029%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.147
500007000000585.797
500004503922572.727


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15ANONYMOUSv4_computersE19D396325555AE00.147


PRP results:
dateuseridcompidcofactorsres64
2017-09-30alpertronManual testing
100267767469115786951
EED4DA118F463DED
2017-10-28Oliver KruseGTX-0
100267767469115786951
EED4DA118F463DED


CERT results:
No CERT results for M2234233


P-1 factor-bounds graph:
B1 = 2000000, B2 = 65000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1000000, B2 = 5000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 85000, B2 = 1615000 (P-1 stage 2)
B1 = 142456 (P-1 stage 1)
B1 = 113728 (P-1 stage 1)
B1 = 85000 (P-1 stage 1)
B1 = 75011 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
101
102
103
104
105
106
107
101
102
103
104
105
106
107
108
TF factor-bounds graph:
266
265
264
263
262
261
260
258
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.56 ~= 55-bit
250
260
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Last modified: 2024-02-29T14:28:04+00:00