is 2 931943 - 1
has 280543 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-LB822C93A0EEF69ABdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26731.883870.1493 %955000248300000.07935.5219 %31.963271.7976 %
Target2440.000054.5455 %1500030000000.006218.0545 %0.006262.7521 %
Difference+23+31.8838+15.6038 %+940000+21830000+0.0731-12.5327 %+31.9569+9.0455 %

Known prime factors (1 factor, 68.9 bits, 0.00739780% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
9319435675338372116624360012168.943304489564926000
24 × 3 × 53 × 17 × 2985191813
2014-02-23125298519181363.9585.718910.681

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-08ANONYMOUSv4_computers2000200000--0.00012.207%
2002-02-24ANONYMOUSv4_computers4096409600--0.00115.132%
2002-04-28ANONYMOUSv4_computers8192819200--0.00217.931%
2002-05-25ANONYMOUSv4_computers163841638400--0.00420.693%
2002-07-27ANONYMOUSv4_computers32768327680012--0.00723.410%
2002-12-31ANONYMOUSv4_computers65536655360012--0.01526.075%
2003-09-09ANONYMOUSv4_computers1310721310720012--0.02928.681%
2011-06-01JossManual testing200000200000--0.00715.595%
2011-07-14JossManual testing218409218409--0.00815.869%
2011-09-18JossManual testing364015364015--0.01317.460%
2012-01-09JossManual testing728030728030--0.02619.617%
2013-10-11David Campeaui5-2500k9550002483000012--0.07931.768%
2016-03-17alpertronManual testing20000050000006---26.262%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-06-28ANONYMOUSv4_computers212550.005
2000-06-29ANONYMOUSv4_computers212550.005
2000-12-07ANONYMOUSv4_computers212560.010
2001-10-20ANONYMOUSv4_computers212570.021
2003-08-25ANONYMOUSv4_computers212580.041
2022-03-07LordJuliusManual testing258260
2010-05-20Architects Cubedm1_f22602610.165


ECM factoring results:
Total ECM effort:14.015 GHz-days
Estimated T-Level:25.645
DigitsB1CompleteFacMiss
201100014.3850.000%
25500001.58120.586%
302500000.12987.894%
3510000000.00999.141%


ECM Summary

B1B2factorcurvesGHz-days
10.310
5000050000002707.501
25000025000000446.204


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-12-01ANONYMOUSv4_computersB822C93A0EEF69AB0.023


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-2
567533837211662436001
C63AD6B79B172800
2017-10-14Oliver KruseThreadripper-PC
567533837211662436001
C63AD6B79B172800
2017-12-22ATHec2-1xh
567533837211662436001
C63AD6B79B172800
2020-04-23Oliver KruseAddPrpType5
567533837211662436001
71A70BBA980F88FD


CERT results:
No CERT results for M931943


P-1 factor-bounds graph:
B1 = 955000, B2 = 24830000 (P-1 stage 2)
B1 = 955000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 728030 (P-1 stage 1)
B1 = 200000, B2 = 5000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 364015 (P-1 stage 1)
B1 = 218409 (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)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
261
260
258
257
256
255
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.65 ~= 69-bit
250
260
270
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Last modified: 2024-03-03T02:29:32+00:00