is 2 3029711 - 1
has 912034 decimal digits
takes 0.258 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L2FAAB2C0B3542E94double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26819.673567.6471 %30297113547635002.73899.6198 %22.412370.7593 %
Target2641.174865.6250 %1300011000000.00891.4291 %1.183766.1162 %
Difference+4+18.4986+2.0221 %+3016711+353663500+2.7300+8.1907%+21.2286+4.6431 %

Known prime factors (1 factor, 97.8 bits, 0.00322894% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
30297112812038783614047317704237580493097.82846407706603270861770384
24 × 3 × 109 × 5483 × 19183 × 245629 × 343327
2017-06-272456293433271.395e+100.03100.0617

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-12-23Team Prime Ribv4_computers1000010000--0.0010.314%
2004-02-07ANONYMOUSv4_computers2048204800--0.0020.570%
2010-10-17markrtiny11500023575006--0.0294.186%
2016-04-29ANONYMOUSP4_2600205000568875012--0.0625.419%
2017-06-27mikrMSI3000000300000013097.8280.3705.427%
2022-01-06JossManual testing1522969116447100
skipped known factor: 281203878361404731770423758049
--1.18510.727%
2022-08-21JossManual testing3029711354763500
skipped known factor: 281203878361404731770423758049
--3.38012.908%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-04-08David Campeauv4_computers212600.025
2009-02-02Jayson Kingatlas2602610.051
2010-10-12Sid & AndyBuzz2612620.101
2013-01-07dbaughManual testing2622630.324
2015-02-07VictordeHollanderManual testing2632651.881
2015-06-02ThaManual testing2652662.466
2021-02-18JossManual testing265267
2017-05-02Gordon SpenceManual testing2662674.933
2021-02-26JossManual testing267268


ECM factoring results:
Total ECM effort:1.290 GHz-days
Estimated T-Level:2.308
DigitsB1CompleteFacMiss
20110000.46263.031%
25500000.04395.819%
302500000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
500005000000121.290


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-16ANONYMOUSv4_computers2FAAB2C0B3542E940.258


PRP results:
dateuseridcompidcofactorsres64
2017-09-28alpertronManual testing
281203878361404731770423758049
73F284611CD82988
2017-11-17Oliver KruseThreadripper-PC
281203878361404731770423758049
73F284611CD82988


CERT results:
No CERT results for M3029711


P-1 factor-bounds graph:
B1 = 3029711, B2 = 354763500 (P-1 stage 2)
B1 = 1522969, B2 = 116447100 (P-1 stage 2)
B1 = 3029711 (P-1 stage 1)
B1 = 3000000 (P-1 stage 1)
B1 = 1522969 (P-1 stage 1)
B1 = 205000, B2 = 5688750 (P-1 stage 2)
B1 = 115000, B2 = 2357500 (P-1 stage 2)
B1 = 205000 (P-1 stage 1)
B1 = 115000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
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=2.31 ~= -9-bit
250
260
270
280
290
2100
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Last modified: 2024-03-13T02:15:48+00:00