is 2 2057933 - 1
has 619500 decimal digits
takes 0.135 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LDC7B9FFA5AF031E9double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26714.438768.6567 %500000150000000.12305.1407 %14.561770.2680 %
Target2620.298566.1290 %90006000000.00391.3314 %0.302566.5800 %
Difference+5+14.1402+2.5277 %+491000+14400000+0.1191+3.8093%+14.2592+3.6880 %

Known prime factors (1 factor, 64.5 bits, 0.00313243% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2057933254342670782220353532064.4636179566360572
22 × 32 × 11 × 15604965557
2011-04-1711156049655572.300281.056151.39

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-02-24ANONYMOUSv4_computers204820480012--0.0010.766%
2009-06-21USAFSST7500_220020000260000--0.0032.105%
2010-12-26JossManual testing3000030000--0.0030.925%
2011-01-06JossManual testing5000050000--0.0051.260%
2011-01-22James Heinrichi7-92013500029025006--0.0275.265%
2016-03-16alpertronManual testing5000001500000012---8.211%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-03-26ANONYMOUSv4_computers212580.019
2022-03-09LordJuliusManual testing21260
2009-01-03Sturle Sundegorro.ifi2602610.075


ECM factoring results:
Total ECM effort:10.709 GHz-days
Estimated T-Level:21.915
DigitsB1CompleteFacMiss
20110004.1201.625%
25500000.38368.188%
302500000.02497.599%
3510000000.00199.886%


ECM Summary

B1B2factorcurvesGHz-days
10.255
500005000070.309
500005000000201.407
50000681961970.593
500006900000574.943
50000715000070.606
500004503922572.597


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-02ANONYMOUSv4_computersDC7B9FFA5AF031E90.135


PRP results:
dateuseridcompidcofactorsres64
2017-10-06Oliver KruseGTX-1
25434267078222035353
09BBD5EB8FA83A6E
2017-11-15kkmrkkblmbrbkc4.xlarge
25434267078222035353
09BBD5EB8FA83A6E


CERT results:
No CERT results for M2057933


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 135000, B2 = 2902500 (P-1 stage 2)
B1 = 135000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 260000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
261
260
258
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.91 ~= 56-bit
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260
270
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Last modified: 2024-03-13T02:15:48+00:00