is 2 2224571 - 1
has 669663 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-L4EC78789AEA670CCdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26826.793967.6471 %2000000650000000.51797.0349 %27.311869.9231 %
Target2620.276264.5161 %110009000000.00571.6306 %0.281865.0947 %
Difference+6+26.5177+3.1309 %+1989000+64100000+0.5122+5.4043%+27.0300+4.8283 %

Known prime factors (1 factor, 72.3 bits, 0.00325205% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
222457159945475912035725708812272.3441347349127360640
27 × 3 × 5 × 701744337167
2020-05-16128701744337167524.833,645.06,807.9

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-03-27ANONYMOUSv4_computers204820480012--0.0010.782%
2010-10-21Oscar Östlin7501175011--0.0071.595%
2011-01-12Oscar Östlin8500015937506--0.0164.399%
2014-05-26JossManual testing113852113852--0.0111.963%
2014-09-29JossManual testing142704142704--0.0142.181%
2015-05-02Squeeky_SquirrelP4_260016000046000006--0.0385.951%
2015-11-21Alexander DubrovinManual testing100000050000006--0.1167.041%
2015-11-21Alexander DubrovinManual testing10000002500000012--0.2209.489%
2015-12-24Alexander DubrovinManual testing20000006500000012--0.51811.416%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-02-07ANONYMOUSv4_computers212580.017
2016-02-23Mark RoseManual testing2582600.052
2009-01-10Sturle Sundejodel.ifi2602610.069
2012-04-19Sebastian HornbostelManual testing2612620.138
2013-01-23dbaughManual testing2622630.441
2015-03-06VictordeHollanderManual testing2632652.562
2015-10-25ramgeisManual testing2652663.359
2016-12-23Gordon SpenceManual testing2662676.718
2019-04-22TJAOIManual testing26726813.44


ECM factoring results:
Total ECM effort:5.948 GHz-days
Estimated T-Level:21.263
DigitsB1CompleteFacMiss
20110002.7316.517%
25500000.25377.672%
302500000.01698.419%


ECM Summary

B1B2factorcurvesGHz-days
500005000000705.862
50000500000010.086


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-13ANONYMOUSv4_computers4EC78789AEA670CC0.146
2018-04-19kkmrkkblmbrbkold4EC78789AEA670CC0.146


PRP results:
dateuseridcompidcofactorsres64
2020-05-16M Millercruncher
5994547591203572570881
503002DA873EAD3E
2020-05-16ATHec2-PRPCFDC
5994547591203572570881
503002DA873EAD3E


CERT results:
No CERT results for M2224571


P-1 factor-bounds graph:
B1 = 2000000, B2 = 65000000 (P-1 stage 2)
B1 = 1000000, B2 = 25000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1000000, B2 = 5000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 160000, B2 = 4600000 (P-1 stage 2)
B1 = 85000, B2 = 1593750 (P-1 stage 2)
B1 = 160000 (P-1 stage 1)
B1 = 142704 (P-1 stage 1)
B1 = 113852 (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
109
1010
1011
1012
TF factor-bounds graph:
268
267
266
265
263
262
261
260
258
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.26 ~= 54-bit
250
260
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Last modified: 2024-03-13T02:15:48+00:00