is 2 3145781 - 1
has 946975 decimal digits
takes 0.268 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L13AFC9228451F8F4double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27075.959168.5714 %950000024344339250164.794514.3535 %240.753573.0825 %
Target2641.131565.6250 %1500012000000.00981.5438 %1.141366.1557 %
Difference+6+74.8276+2.9464 %+9485000+24343139250+164.7846+12.8097%+239.6123+6.9269 %

Known prime factors (1 factor, 109.6 bits, 0.00348548% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3145781101530409094690438176968436595907334109.646161375520251871376578611856
24 × 32 × 29 × 109 × 37501 × 1253557 × 7541604137
2023-04-14125355775416041374.653e+1050.85494.709

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2004-02-07ANONYMOUSv4_computers2048204800--0.0020.576%
2009-07-03Carsten Kossendeymother15000183750--0.0031.426%
2011-09-06Squeeky_SquirrelT7500_2200550009350006--0.0133.016%
2013-09-01Squeeky_SquirrelP4_260011000024750006--0.0294.224%
2016-11-13Squeeky_SquirrelP4_2600195000546000012--0.0595.368%
2018-07-16JossManual testing76600022980006---4.977%
2018-07-17JossManual testing76600030640004--0.1105.353%
2019-03-25mikrMSI300000010000000012--1.02211.001%
2022-09-13JossManual testing1000000118249950--1.12510.436%
2022-10-30JossManual testing1000000265074810--2.45311.540%
2023-04-14Sid & AndySpeck950000024344339250234109.646203.420.469%


Trial Factoring results:
5758596061626364656667686970
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-07-29ANONYMOUSv4_computers212600.024
2009-04-13S485122USB-A2602610.049
2011-11-06markroldgamer2612620.098
2013-01-03dbaughManual testing2622630.312
2015-02-11VictordeHollanderManual testing2632651.812
2015-06-14ThaManual testing2652662.375
2017-04-19Gordon SpenceManual testing2662674.751
2018-12-24TJAOIManual testing2672689.50
2021-05-03TJAOIManual testing26826919.00
2023-01-27TJAOIManual testing26927038.01


ECM factoring results:
Total ECM effort:16.439 GHz-days
Estimated T-Level:21.959
DigitsB1CompleteFacMiss
20110004.2131.480%
25500000.39267.586%
302500000.02597.550%
3510000000.00199.884%


ECM Summary

B1B2factorcurvesGHz-days
500005000000789.025
50000635000070.918
50000645403970.925
50000700000070.965
500004503922574.605


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-09-07binarydigitsv4_computers13AFC9228451F8F40.268
1999-12-23binarydigitsv4_computers13AFC9228451F8F40.268


PRP results:
dateuseridcompidcofactorsres64
2023-04-16Naegi Makoto5950X
1015304090946904381769684365959073
4356BF19621A445C


CERT results:
dateuseridcompid
2023-04-16Mich


P-1 factor-bounds graph:
B1 = 9500000, B2 = 24344339250 (P-1 stage 2)
B1 = 1000000, B2 = 265074810 (P-1 stage 2)
B1 = 9500000 (P-1 stage 1)
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 1000000, B2 = 118249950 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 766000, B2 = 3064000 (P-1 stage 2)
B1 = 766000, B2 = 2298000 (P-1 stage 2)
B1 = 766000 (P-1 stage 1)
B1 = 195000, B2 = 5460000 (P-1 stage 2)
B1 = 110000, B2 = 2475000 (P-1 stage 2)
B1 = 195000 (P-1 stage 1)
B1 = 110000 (P-1 stage 1)
B1 = 55000, B2 = 935000 (P-1 stage 2)
B1 = 55000 (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
1010
1011
TF factor-bounds graph:
270
269
268
267
266
265
263
262
261
260
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=21.96 ~= 56-bit
250
260
270
280
290
2100
2110
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Last modified: 2024-03-13T02:15:48+00:00