is 2 3129811 - 1
has 942167 decimal digits
takes 0.266 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L3478DE500706C53Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26819.044267.6471 %31298116374375704.651210.4106 %23.695471.0152 %
Target2641.137265.6250 %1500012000000.00981.5423 %1.147166.1552 %
Difference+4+17.9070+2.0221 %+3114811+636237570+4.6414+8.8683%+22.5484+4.8600 %

Known prime factors (1 factor, 82.8 bits, 0.00264459% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
312981182499791051965725038567212582.7711317967619322152760
23 × 3 × 5 × 13 × 2791 × 297719 × 1016749
2018-07-142977191016749451,1320.04160.0748

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2004-02-07ANONYMOUSv4_computers2048204800--0.0020.575%
2009-07-03Carsten Kossendeymother15000183750--0.0031.425%
2011-08-30Squeeky_SquirrelT7500_220010500021525006--0.0274.068%
2016-10-01Squeeky_Squirreli5-5250U_1600195000546000012--0.0595.365%
2018-07-14JossManual testing6921441384288422582.7710.0904.305%
2021-11-22JossManual testing31298113129811
skipped known factor: 8249979105196572503856721
--0.3865.512%
2021-12-19JossManual testing3129811108997350
skipped known factor: 8249979105196572503856721
--1.35511.155%
2021-12-22JossManual testing3129811637437570
skipped known factor: 8249979105196572503856721
--5.74013.856%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-05-06David Campeauv4_computers212600.025
2009-04-11S485122USB-A2602610.049
2011-11-12markroldgamer2612620.098
2013-01-03dbaughManual testing2622630.314
2015-02-11VictordeHollanderManual testing2632651.821
2015-06-14ThaManual testing2652662.388
2021-01-03JossManual testing265266
2017-04-15Gordon SpenceManual testing2662674.775
2021-02-25JossManual testing267268


ECM factoring results:
Total ECM effort:1.647 GHz-days
Estimated T-Level:2.885
DigitsB1CompleteFacMiss
20110000.57756.162%
25500000.05394.802%
302500000.00399.664%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.647


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-23ANONYMOUSv4_computers3478DE500706C53B0.266


PRP results:
dateuseridcompidcofactorsres64
2018-07-14ATHec2-PRPCF
8249979105196572503856721
B459CEE0CEF2D507
2018-07-15Oliver KruseGTX-3
8249979105196572503856721
B459CEE0CEF2D507


CERT results:
No CERT results for M3129811


P-1 factor-bounds graph:
B1 = 3129811, B2 = 637437570 (P-1 stage 2)
B1 = 3129811, B2 = 108997350 (P-1 stage 2)
B1 = 3129811 (P-1 stage 1)
B1 = 692144, B2 = 1384288 (P-1 stage 2)
B1 = 692144 (P-1 stage 1)
B1 = 195000, B2 = 5460000 (P-1 stage 2)
B1 = 105000, B2 = 2152500 (P-1 stage 2)
B1 = 195000 (P-1 stage 1)
B1 = 105000 (P-1 stage 1)
B1 = 15000, B2 = 183750 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
TF factor-bounds graph:
268
267
266
265
263
262
261
260
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=2.88 ~= -7-bit
250
260
270
280
290
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Last modified: 2024-03-13T02:15:48+00:00