is 2 914731 - 1
has 275362 decimal digits
takes 0.022 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LEA21A7D7FC163F9Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26732.483870.1493 %100000005000000001.290310.5666 %33.774173.3035 %
Target2440.000054.5455 %1500030000000.006218.0183 %0.006262.7356 %
Difference+23+32.4838+15.6038 %+9985000+497000000+1.2841-7.4517 %+33.7679+10.5679 %

Known prime factors (1 factor, 78.6 bits, 0.00859020% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
9147314509255148901061854671512478.577246479847567266325
3 × 52 × 23 × 29 × 4927133384653
2014-11-1829492713338465366,9239,439.217,630

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-08ANONYMOUSv4_computers2000200000--0.00012.172%
2002-02-24ANONYMOUSv4_computers4096409600--0.00115.096%
2002-04-28ANONYMOUSv4_computers8192819200--0.00217.894%
2002-05-18ANONYMOUSv4_computers163841638400--0.00420.655%
2002-07-20ANONYMOUSv4_computers32768327680012--0.00723.371%
2002-12-16ANONYMOUSv4_computers65536655360012--0.01526.035%
2003-08-08ANONYMOUSv4_computers1310721310720012--0.02928.641%
2011-06-07JossManual testing200000200000--0.00715.565%
2011-07-13JossManual testing223752223752--0.00815.914%
2011-09-11JossManual testing372921372921--0.01317.505%
2011-12-17JossManual testing745842745842--0.02619.660%
2012-06-19JossManual testing914873914873--0.03220.293%
2013-10-16David Campeaui5-2500k10850002929500012--0.09232.274%
2014-03-06alpertronManual testing1000000050000000012--1.29041.300%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-12-14ANONYMOUSv4_computers212560.010
2001-10-06ANONYMOUSv4_computers212570.021
2003-04-27ANONYMOUSv4_computers212580.042
2022-03-07LordJuliusManual testing258260
2010-05-20Architects Cubedm1_tt2602610.168
2014-08-28lycornManual testing2612620.336


ECM factoring results:
Total ECM effort:13.971 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
5000050000002757.611
25000025000000446.191


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-12-22ANONYMOUSv4_computersEA21A7D7FC163F9E0.022


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-3
450925514890106185467151
E7234BEC40F68BA7
2017-10-14Oliver KruseThreadripper-PC
450925514890106185467151
E7234BEC40F68BA7
2017-12-22ATHec2-1xh
450925514890106185467151
E7234BEC40F68BA7
2020-04-23Oliver KruseAddPrpType5
450925514890106185467151
98144844068FD3EF


CERT results:
No CERT results for M914731


P-1 factor-bounds graph:
B1 = 10000000, B2 = 500000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 1085000, B2 = 29295000 (P-1 stage 2)
B1 = 1085000 (P-1 stage 1)
B1 = 914873 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 745842 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 372921 (P-1 stage 1)
B1 = 223752 (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)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
262
261
260
258
257
256
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.65 ~= 69-bit
250
260
270
280
JSON version of this page
Last modified: 2024-03-03T02:29:32+00:00