is 2 6974333 - 1
has 2099484 decimal digits
takes 1.521 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF01C6D225B097D98double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272137.121968.0556 %143120001314232019102,268.225815.8798 %2,405.347773.1283 %
Target2674.260565.6716 %4500045000000.09102.2392 %4.351466.4403 %
Difference+5+132.8614+2.3839 %+14267000+131418701910+2,268.1348+13.6407%+2,400.9963+6.6880 %

Known prime factors:
No known factors for M6974333

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-09-16ANONYMOUSv4_computers35000341250--0.0161.621%
2011-12-13James HeinrichQ660013500028350006--0.0893.603%
2020-01-28takahashivaio6000001200000012--0.3865.809%
2021-11-22Seth_TrManual testing400000011000000012--3.0919.713%
2024-02-21Jason Lynchgacrux14312000131423201910--2,10920.995%


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-07-05ANONYMOUSv4_computers212620.044
2005-08-01David Campeauv4_computers212630.141
2014-02-09NesowaManual testing2632640.282
2014-02-15lycornManual testing2642650.536
2015-07-03VictordeHollanderManual testing2652661.071
2016-04-26Gordon SpenceManual testing2662672.143
2018-02-26ANONYMOUSManual testing2672684.286
2020-04-24TJAOIManual testing2682698.572
2021-08-07takahashiManual testing26927017.14
2021-09-06SRBaseManual testing27027134.29
2021-09-28SRBaseManual testing27127268.57


ECM factoring results:
Total ECM effort:2.984 GHz-days
Estimated T-Level:1.731
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
50000500000092.984


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-23ANONYMOUSv4_computersF01C6D225B097D981.521
2001-11-10ANONYMOUSv4_computersF01C6D225B097D981.521


PRP results:
No PRP results for M6974333


CERT results:
No CERT results for M6974333


P-1 factor-bounds graph:
B1 = 14312000, B2 = 131423201910 (P-1 stage 2)
B1 = 14312000 (P-1 stage 1)
B1 = 4000000, B2 = 110000000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 600000, B2 = 12000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 135000, B2 = 2835000 (P-1 stage 2)
B1 = 135000 (P-1 stage 1)
B1 = 35000, B2 = 341250 (P-1 stage 2)
B1 = 35000 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 67
TF double-checked to: 67
ECM T-Level=1.73 ~= -11-bit
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Last modified: 2024-03-13T02:15:48+00:00