is 2 2747359 - 1
has 827038 decimal digits
takes 0.212 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LE9AA734ECD89CC15double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26710.815467.1642 %3000002351279701.46647.5681 %12.281969.6492 %
Target2630.580965.0794 %1400012000000.00881.7087 %0.589765.6761 %
Difference+4+10.2345+2.0848 %+286000+233927970+1.4576+5.8594%+11.6922+3.9732 %

Known prime factors (1 factor, 65.8 bits, 0.00239661% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2747359662042522197970143692065.84412048707908176
24 × 3 × 47 × 9533 × 560237
2011-05-0295335602374.47830.00440.0064

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-11-16ANONYMOUSv4_computers2048204800--0.0010.678%
2003-11-28Team Prime Ribv4_computers15000225000--0.0031.712%
2010-12-21JossManual testing2000020000--0.0020.635%
2010-12-29JossManual testing3000030000--0.0040.839%
2011-01-21JossManual testing5000050000--0.0061.150%
2011-05-02James HeinrichWHS2065.8440.0490.000%
2023-02-26USAFSS6917th_Scty_Sq300000235127970
skipped known factor: 66204252219797014369
--1.61610.769%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2009-01-27Sturle Sundeinteravia.ifi2602610.056


ECM factoring results:
Total ECM effort:0.485 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000060.485


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-23ANONYMOUSv4_computersE9AA734ECD89CC150.212


PRP results:
dateuseridcompidcofactorsres64
2017-10-20Oliver KruseGTX-3
66204252219797014369
8C1A3B4F512A1FFA
2017-12-05kkmrkkblmbrbkc4.xlarge
66204252219797014369
8C1A3B4F512A1FFA


CERT results:
No CERT results for M2747359


P-1 factor-bounds graph:
B1 = 300000, B2 = 235127970 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 225000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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
102
103
104
105
106
107
108
109
TF factor-bounds graph:
261
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=1.15 ~= -13-bit
250
260
270
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00