is 2 2207783 - 1
has 664609 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-LEF6DE3BAA83F5E22double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26713.458767.1642 %2000000650000000.51797.6485 %13.976669.6756 %
Target2620.278364.5161 %110008500000.00541.6012 %0.283765.0843 %
Difference+5+13.1804+2.6481 %+1989000+64150000+0.5125+6.0474%+13.6929+4.5914 %

Known prime factors (1 factor, 70.6 bits, 0.00319605% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
220778317428563980113737955992270.562394707359829153
3 × 7 × 37 × 71 × 107 × 66867037
2015-12-0710766867037108.230.34730.6487

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--0.0174.460%
2014-06-24JossManual testing119072119072--0.0112.003%
2014-10-17JossManual testing148144148144--0.0142.215%
2015-11-09Alexander DubrovinManual testing100000025000006--0.1035.975%
2015-11-10Alexander DubrovinManual testing150000055000006--0.1647.291%
2015-11-10Alexander DubrovinManual testing2000000800000012--0.2227.969%
2015-12-07Alexander DubrovinManual testing2000000650000001222270.5620.51811.408%
2016-04-15alpertronManual testing5000001500000012---8.274%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-02-07dennisv4_computers212580.017
2022-03-09LordJuliusManual testing21260
2009-01-02Sturle Sundebuxtehude.ifi2602610.070
2009-01-08Sturle Sundegilia.ifi2612620.139
2013-12-04LaurVManual testing2622630.445
2015-03-06VictordeHollanderManual testing2632640.889
2015-03-06VictordeHollanderManual testing2642651.692
2015-10-21ramgeisManual testing2652663.385


ECM factoring results:
Total ECM effort:8.191 GHz-days
Estimated T-Level:21.651
DigitsB1CompleteFacMiss
20110003.5542.860%
25500000.33071.874%
302500000.02197.925%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.146
50000532408470.616
50000671878870.684
50000689920180.792
500006900000504.953


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-21dennisv4_computersEF6DE3BAA83F5E220.145


PRP results:
dateuseridcompidcofactorsres64
2017-09-30alpertronManual testing
1742856398011373795599
58833B55D756F5DA
2017-10-25Oliver KruseGTX-2
1742856398011373795599
58833B55D756F5DA


CERT results:
No CERT results for M2207783


P-1 factor-bounds graph:
B1 = 2000000, B2 = 65000000 (P-1 stage 2)
B1 = 2000000, B2 = 8000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
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 = 148144 (P-1 stage 1)
B1 = 119072 (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)
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=21.65 ~= 55-bit
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260
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Last modified: 2024-02-29T14:28:04+00:00