is 2 2226311 - 1
has 670187 decimal digits
takes 0.146 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L8C647851BD5BCF53double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26713.346767.1642 %2000000650000000.51797.6551 %13.864669.6778 %
Target2620.276064.5161 %110009000000.00571.6308 %0.281665.0948 %
Difference+5+13.0708+2.6481 %+1989000+64100000+0.5122+6.0243%+13.5830+4.5830 %

Known prime factors (1 factor, 75.4 bits, 0.00338614% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2226311493672343671612925244792375.38611087227787843049
3 × 8111 × 57809 × 7881917
2015-12-255780978819173,437.00.04620.0765

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-03-27ANONYMOUSv4_computers204820480012--0.0010.782%
2010-10-22Oscar Östlin7501175011--0.0071.595%
2011-01-13Oscar Östlin8500016150006--0.0164.412%
2014-05-26JossManual testing113830113830--0.0111.963%
2014-09-29JossManual testing142660142660--0.0142.181%
2015-05-04Squeeky_SquirrelP4_260016000046000006--0.0385.951%
2015-11-22Alexander DubrovinManual testing100000050000006--0.1167.042%
2015-11-22Alexander DubrovinManual testing160000070000006--0.1817.704%
2015-12-25Alexander DubrovinManual testing2000000650000001222375.3860.51811.417%
2016-04-05alpertronManual testing5000001500000012
skipped known factor: 49367234367161292524479
---8.282%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-02-07ANONYMOUSv4_computers212580.017
2016-02-23Mark RoseManual testing2582600.052
2009-01-11Sturle Sundehummel.ifi2602610.069
2012-04-19Sebastian HornbostelManual testing2612620.138
2013-12-03LaurVManual testing2622630.441
2015-03-06VictordeHollanderManual testing2632640.882
2015-03-06VictordeHollanderManual testing2642651.678
2015-10-25ramgeisManual testing2652663.357


ECM factoring results:
Total ECM effort:7.110 GHz-days
Estimated T-Level:21.465
DigitsB1CompleteFacMiss
20110003.1384.338%
25500000.29374.610%
302500000.01998.162%


ECM Summary

B1B2factorcurvesGHz-days
500005000000221.747
500006050000504.659
50000711379470.705


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-07ANONYMOUSv4_computers8C647851BD5BCF530.146


PRP results:
dateuseridcompidcofactorsres64
2017-09-30alpertronManual testing
49367234367161292524479
9055EC4BDAADA646
2017-10-27Oliver KruseGTX-0
49367234367161292524479
9055EC4BDAADA646


CERT results:
No CERT results for M2226311


P-1 factor-bounds graph:
B1 = 2000000, B2 = 65000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1600000, B2 = 7000000 (P-1 stage 2)
B1 = 1600000 (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 = 160000, B2 = 4600000 (P-1 stage 2)
B1 = 85000, B2 = 1615000 (P-1 stage 2)
B1 = 160000 (P-1 stage 1)
B1 = 142660 (P-1 stage 1)
B1 = 113830 (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)
102
103
104
105
106
107
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=21.46 ~= 55-bit
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Last modified: 2024-02-29T14:28:04+00:00