is 2 953111 - 1
has 286916 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-LF17B0ABBE2CE7A3Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26731.175770.1493 %131072131072000.02953.6802 %31.205271.2478 %
Target2440.000054.5455 %1600032500000.006818.3832 %0.006862.9015 %
Difference+23+31.1757+15.6038 %+115072+9857200+0.0227-14.7030 %+31.1984+8.3464 %

Known prime factors (1 factor, 76.9 bits, 0.00806823% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
9531111409119771764663771732732476.89973922123014248276
22 × 32 × 2053392305951341
2009-07-039205339230595134116,0573,933,7867,347,217

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-08ANONYMOUSv4_computers2000200000--0.00012.249%
2002-02-24ANONYMOUSv4_computers4096409600--0.00115.176%
2002-05-05ANONYMOUSv4_computers8192819200--0.00217.976%
2002-05-11Jossv4_computers50005000--0.0004.987%
2002-05-11Jossv4_computers60006000--0.0005.431%
2002-05-25ANONYMOUSv4_computers163841638400--0.00420.740%
2002-07-27ANONYMOUSv4_computers32768327680012--0.00723.458%
2003-01-09ANONYMOUSv4_computers65536655360012--0.01526.123%
2003-09-21ANONYMOUSv4_computers1310721310720012--0.02928.730%
2016-03-17alpertronManual testing20000050000006---26.308%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-06-23ANONYMOUSv4_computers212550.005
2000-11-25ANONYMOUSv4_computers212560.010
2001-10-25ANONYMOUSv4_computers212570.020
2003-08-25ANONYMOUSv4_computers212580.040


ECM factoring results:
Total ECM effort:14.104 GHz-days
Estimated T-Level:25.655
DigitsB1CompleteFacMiss
201100014.7310.000%
25500001.61319.937%
302500000.13187.717%
3510000000.00999.131%


ECM Summary

B1B2factorcurvesGHz-days
10.046
5000050000002797.837
25000025000000446.221


Lucas-Lehmer results:
No L-L results for M953111


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-0
140911977176466377173273
7E84F02E9E33A184
2017-10-15Oliver KruseGTX-3
140911977176466377173273
7E84F02E9E33A184
2017-12-24ATHec2-1xh
140911977176466377173273
7E84F02E9E33A184
2020-04-24Oliver KruseAddPrpType5
140911977176466377173273
C705C5BB4E6DE503


CERT results:
No CERT results for M953111


P-1 factor-bounds graph:
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 200000, B2 = 5000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
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)
100
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100
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TF factor-bounds graph:
258
257
256
255
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.66 ~= 69-bit
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Last modified: 2024-02-09T03:30:02+00:00