is 2 5293009 - 1
has 1593355 decimal digits
takes 0.836 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LDD5B60007B2EAE7Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27045.144667.1429 %13975841132043041.71496.8518 %46.859469.3942 %
Target2662.790265.1515 %3200030000000.04442.0259 %2.834565.8575 %
Difference+4+42.3544+1.9913 %+1365584+110204304+1.6705+4.8258%+44.0249+3.5366 %

Known prime factors (3 factors, 199.6 bits, 0.00377165% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5293009166984480595203192732063.8561577405976404
22 × 394351494101
2017-05-2543943514941010.30154,919.79,188.6
52930092051193548451738160872167.47519376441155227
3 × 13 × 267581 × 1856753
2021-12-1026758118567535.61380.08110.1247
52930093639884774663566214232168.30234383889907079
3 × 1423 × 8054319491
2014-11-191423805431949111.261100.48187.67

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-08-19Carsten Kossendeymother25000343750--0.0111.634%
2010-07-26Squeeky_SquirrelP4_2600600009750006--0.0282.631%
2021-12-10Denial140i5-84001397584113204304
skipped known factor: 205119354845173816087
--1.7159.558%


Trial Factoring results:
5758596061626364656667686970
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-04-11ANONYMOUSv4_computers212610.029
1998-04-11ANONYMOUSv4_computers212620.058
2009-06-02GrunwalderGIMPManual testing2622630.185
2017-05-25TJAOIManual testing263264*63.856200.318
2021-12-10Denial140Manual testing264265
2021-12-10Denial140Manual testing265266
2021-12-10Denial140Manual testing266267
2021-12-10Denial140Manual testing26726867.475215.647
2023-10-16James HeinrichManual testing26826968.30221
2021-12-10Denial140Manual testing269270


ECM factoring results:
Total ECM effort:0.745 GHz-days
Estimated T-Level:0.769
DigitsB1CompleteFacMiss
20110000.15485.740%
25500000.01498.587%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.505
50000500000010.240


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-07-29ANONYMOUSv4_computersDD5B60007B2EAE7A0.836
2000-06-11ANONYMOUSv4_computersDD5B60007B2EAE7A0.836


PRP results:
dateuseridcompidcofactorsres64
2017-11-25kkmrkkblmbrbkc4.xlarge
16698448059520319273
363988477466356621423
8E67F19D7661E241
2018-06-10Chang Chia-Tcheex01
16698448059520319273
363988477466356621423
8E67F19D7661E241
2021-12-10Denial140i5-8400
363988477466356621423
16698448059520319273
205119354845173816087
8E67F19D7661E241


CERT results:
dateuseridcompid
2021-12-10RVS


P-1 factor-bounds graph:
B1 = 1397584, B2 = 113204304 (P-1 stage 2)
B1 = 1397584 (P-1 stage 1)
B1 = 60000, B2 = 975000 (P-1 stage 2)
B1 = 60000 (P-1 stage 1)
B1 = 25000, B2 = 343750 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
270
269
268
267
266
265
263
262
261
this exponent TF target: 66
TF double-checked to: 67
ECM T-Level=0.77 ~= -14-bit
250
260
270
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Last modified: 2024-02-09T03:30:02+00:00