is 2 953773 - 1
has 287115 decimal digits
takes 0.023 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L135B8F7E8740E35Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26731.154170.1493 %855000256500000.07765.5048 %31.231671.7925 %
Target2440.000054.5455 %1600032500000.006818.3846 %0.006862.9021 %
Difference+23+31.1541+15.6038 %+839000+22400000+0.0708-12.8798 %+31.2249+8.8904 %

Known prime factors (1 factor, 82.2 bits, 0.00861372% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
95377353852618461415577687020472582.1552823136032442498251
3 × 2333 × 5441 × 74133940589
2014-02-015441741339405891,026,939142.02265.26

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-08ANONYMOUSv4_computers2000200000--0.00012.250%
2002-02-24ANONYMOUSv4_computers4096409600--0.00115.177%
2002-05-05ANONYMOUSv4_computers8192819200--0.00217.978%
2002-05-11Jossv4_computers50005000--0.0004.988%
2002-05-11Jossv4_computers60006000--0.0005.432%
2002-05-25ANONYMOUSv4_computers163841638400--0.00420.741%
2002-07-27ANONYMOUSv4_computers32768327680012--0.00723.459%
2003-01-09ANONYMOUSv4_computers65536655360012--0.01526.125%
2003-09-21ANONYMOUSv4_computers1310721310720012--0.02928.731%
2011-06-07JossManual testing200000200000--0.00715.632%
2011-07-14JossManual testing211949211949--0.00715.813%
2011-09-19JossManual testing353249353249--0.01217.405%
2012-02-06JossManual testing706499706499--0.02519.563%
2013-10-18David Campeaui5-2500k8550002565000012--0.07831.886%
2016-03-17alpertronManual testing20000050000006---26.309%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-10-25ANONYMOUSv4_computers212570.020
2003-08-25ANONYMOUSv4_computers212580.040
2022-03-07LordJuliusManual testing258260
2010-05-29Architects Cubeda3_bu22602610.161


ECM factoring results:
Total ECM effort:14.052 GHz-days
Estimated T-Level:25.641
DigitsB1CompleteFacMiss
201100014.2310.000%
25500001.56620.881%
302500000.12887.973%
3510000000.00999.145%


ECM Summary

B1B2factorcurvesGHz-days
10.424
5000050000002667.407
25000025000000446.221


Lucas-Lehmer results:
No L-L results for M953773


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-1
5385261846141557768702047
0B68E11261F7E324
2017-10-15Oliver KruseThreadripper-PC
5385261846141557768702047
0B68E11261F7E324
2017-12-24ATHec2-1xh
5385261846141557768702047
0B68E11261F7E324
2020-04-24Oliver KruseAddPrpType5
5385261846141557768702047
CA5115CB610BD785


CERT results:
No CERT results for M953773


P-1 factor-bounds graph:
B1 = 855000, B2 = 25650000 (P-1 stage 2)
B1 = 855000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 706499 (P-1 stage 1)
B1 = 200000, B2 = 5000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 353249 (P-1 stage 1)
B1 = 211949 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 6000 (P-1 stage 1)
B1 = 5000 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
261
260
258
257
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.64 ~= 69-bit
250
260
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Last modified: 2024-03-03T02:29:32+00:00