is 2 5104349 - 1
has 1536563 decimal digits
takes 0.708 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LBF95B7B7C701D096double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26811.677366.1765 %1000000225000000.43646.0275 %12.113768.2152 %
Target2651.429364.6154 %3400035000000.04482.4244 %1.474165.4733 %
Difference+3+10.2480+1.5611 %+966000+19000000+0.3916+3.6031%+10.6396+2.7419 %

Known prime factors (1 factor, 88.7 bits, 0.00173787% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
51043495051484516107670279393690792788.70749482162329688568311
3 × 13 × 101 × 113 × 373 × 262567 × 1135103
2020-05-13262567113510315,925,2680.06230.1074

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-08-26Carsten Kossendeymother25000325000--0.0081.837%
2009-09-21USAFSSP4_2600550009212506--0.0212.868%
2013-05-11Squeeky_SquirrelT7500_22009000016425006--0.0353.582%
2020-05-14KingPleaseFactor1000000225000001222788.7070.4367.871%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-05-16ANONYMOUSv4_computers212610.030
2008-12-29Sturle Sundedanzi.ifi2612620.060
2009-07-27GrunwalderGIMPManual testing212630.313
2016-02-23Mark RoseManual testing2622630.192
2014-12-14VictordeHollanderManual testing2632651.117
2015-08-04snme2pm1Manual testing2652661.464
2016-05-15Gordon SpenceManual testing2662672.928
2018-06-20ramgeisManual testing2672685.856


ECM factoring results:
Total ECM effort:1.660 GHz-days
Estimated T-Level:1.731
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
50000500000091.660


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-06-01ANONYMOUSv4_computersBF95B7B7C701D0960.708
2000-07-25ANONYMOUSv4_computersBF95B7B7C701D0960.708


PRP results:
dateuseridcompidcofactorsres64
2020-05-15Luigi Morelli9800X
505148451610767027939369079
DFA52213F984A99C
2020-05-16MarkSdesktop-i7
505148451610767027939369079
DFA52213F984A99C


CERT results:
No CERT results for M5104349


P-1 factor-bounds graph:
B1 = 1000000, B2 = 22500000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 90000, B2 = 1642500 (P-1 stage 2)
B1 = 55000, B2 = 921250 (P-1 stage 2)
B1 = 90000 (P-1 stage 1)
B1 = 55000 (P-1 stage 1)
B1 = 25000, B2 = 325000 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
TF factor-bounds graph:
268
267
266
265
263
262
261
this exponent TF target: 65
TF double-checked to: 67
ECM T-Level=1.73 ~= -11-bit
250
260
270
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290
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Last modified: 2024-03-13T02:15:48+00:00