is 2 939791 - 1
has 282906 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-LC1382059C7AE8F58double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26731.617670.1493 %865000259500000.07855.5138 %31.696171.7952 %
Target2440.000054.5455 %1500032500000.006718.2746 %0.006762.8521 %
Difference+23+31.6176+15.6038 %+850000+22700000+0.0717-12.7608 %+31.6893+8.9431 %

Known prime factors (1 factor, 71.1 bits, 0.00756052% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
93979124496174602447827227032271.0531303277782105161
32 × 19 × 1609 × 4736797699
2014-04-1116094736797699508.719.074616.949

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-08ANONYMOUSv4_computers2000200000--0.00012.223%
2002-02-24ANONYMOUSv4_computers4096409600--0.00115.148%
2002-04-28ANONYMOUSv4_computers8192819200--0.00217.948%
2002-05-25ANONYMOUSv4_computers163841638400--0.00420.711%
2002-07-27ANONYMOUSv4_computers32768327680012--0.00723.428%
2002-12-31ANONYMOUSv4_computers65536655360012--0.01526.093%
2003-09-09ANONYMOUSv4_computers1310721310720012--0.02928.699%
2011-06-01JossManual testing200000200000--0.00715.608%
2011-07-14JossManual testing216047216047--0.00815.848%
2012-01-09JossManual testing720157720157--0.02519.597%
2013-10-14David Campeaui5-2500k8650002595000012--0.07831.895%
2016-03-17alpertronManual testing20000050000006---26.279%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-10-20ANONYMOUSv4_computers212570.020
2003-08-25ANONYMOUSv4_computers212580.041
2022-03-07LordJuliusManual testing258260
2010-05-29Architects Cubeda3_bu22602610.163
2013-12-10lycornsnail2612620.327


ECM factoring results:
Total ECM effort:14.029 GHz-days
Estimated T-Level:25.651
DigitsB1CompleteFacMiss
201100014.5770.000%
25500001.59820.223%
302500000.13087.796%
3510000000.00999.136%


ECM Summary

B1B2factorcurvesGHz-days
10.169
5000050000002757.649
25000025000000446.210


Lucas-Lehmer results:
No L-L results for M939791


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-1
2449617460244782722703
A1CB06B0729F1CEF
2017-10-15Oliver KruseThreadripper-PC
2449617460244782722703
A1CB06B0729F1CEF
2017-12-21ATHec2-1xh
2449617460244782722703
A1CB06B0729F1CEF
2020-04-23Oliver KruseAddPrpType5
2449617460244782722703
36867EA96D912C4D


CERT results:
No CERT results for M939791


P-1 factor-bounds graph:
B1 = 865000, B2 = 25950000 (P-1 stage 2)
B1 = 865000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 720157 (P-1 stage 1)
B1 = 200000, B2 = 5000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 216047 (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 = 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
TF factor-bounds graph:
262
261
260
258
257
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.65 ~= 69-bit
250
260
270
280
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Last modified: 2024-03-03T02:29:32+00:00