is 2 2206189 - 1
has 664130 decimal digits
takes 0.145 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L111A5C62B46FD26Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26713.468467.1642 %500000150000000.12305.1838 %13.591468.8663 %
Target2620.278564.5161 %110008500000.00541.6009 %0.283965.0842 %
Difference+5+13.1900+2.6481 %+489000+14150000+0.1176+3.5829%+13.3075+3.7821 %

Known prime factors (1 factor, 86.2 bits, 0.00390549% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2206189865956412024815825829214232686.16219625617116775032099
3 × 11 × 17 × 31 × 53 × 191 × 31849 × 3500207
2015-11-103184935002077,103,4130.02110.0340

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-03-16ANONYMOUSv4_computers204820480012--0.0010.780%
2010-11-05JossManual testing1500015000--0.0010.580%
2010-11-14JossManual testing2000020000--0.0020.715%
2011-01-01JossManual testing3000030000--0.0030.938%
2011-01-09markrtiny9000016425006--0.0174.459%
2014-06-24JossManual testing119093119093--0.0112.003%
2014-10-17JossManual testing148186148186--0.0142.215%
2015-11-09Alexander DubrovinManual testing100000025000006--0.1035.975%
2015-11-10Alexander DubrovinManual testing15000005500000622686.1620.1647.291%
2016-04-12alpertronManual testing5000001500000012
skipped known factor: 86595641202481582582921423
---8.274%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-02-07ANONYMOUSv4_computers212580.017
2022-03-09LordJuliusManual testing21260
2009-01-02Sturle Sundedietrich.ifi2602610.070
2009-01-07Sturle Sundegilia.ifi2612620.139
2013-01-23dbaughManual testing2622630.445
2015-03-06VictordeHollanderManual testing2632640.890
2015-03-06VictordeHollanderManual testing2642651.694
2015-10-21ramgeisManual testing2652663.387


ECM factoring results:
Total ECM effort:8.201 GHz-days
Estimated T-Level:21.653
DigitsB1CompleteFacMiss
20110003.5652.829%
25500000.33171.852%
302500000.02197.924%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.146
50000540353470.619
50000670503570.684
50000690000080.792
500006922117504.960


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-07ANONYMOUSv4_computers111A5C62B46FD26A0.145


PRP results:
dateuseridcompidcofactorsres64
2017-09-30alpertronManual testing
86595641202481582582921423
792A5E34A4BEB920
2017-10-25Oliver KruseGTX-0
86595641202481582582921423
792A5E34A4BEB920


CERT results:
No CERT results for M2206189


P-1 factor-bounds graph:
B1 = 1500000, B2 = 5500000 (P-1 stage 2)
B1 = 1500000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1000000, B2 = 2500000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 90000, B2 = 1642500 (P-1 stage 2)
B1 = 148186 (P-1 stage 1)
B1 = 119093 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (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=21.65 ~= 55-bit
250
260
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Last modified: 2024-02-29T14:28:04+00:00