is 2 2398057 - 1
has 721888 decimal digits
takes 0.162 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L9EFCE17883BFD461double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26824.855567.6471 %30000001000000000.81157.8462 %25.667070.1855 %
Target2630.665565.0794 %100007000000.00471.2746 %0.670265.5245 %
Difference+5+24.1899+2.5677 %+2990000+99300000+0.8069+6.5716%+24.9968+4.6611 %

Known prime factors (1 factor, 69.3 bits, 0.00289080% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
23980577384601648065497309292169.323153970519634552
23 × 41 × 1279 × 367022921
2020-03-31127936702292149.7851.95893.6584

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-09-21ANONYMOUSv4_computers2048204800--0.0010.654%
2010-11-08JossManual testing1500015000--0.0020.497%
2010-11-16JossManual testing2000020000--0.0020.616%
2010-12-23markrtiny9000018450006--0.0194.138%
2014-08-21JossManual testing116765116765--0.0121.764%
2014-11-06JossManual testing143530143530--0.0141.948%
2015-12-14mikrMSI300000010000000012--0.81211.569%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-07-26ANONYMOUSv4_computers212590.016
2016-02-23Mark RoseManual testing2592600.032
2009-01-16Sturle Sundegaudi.ifi2602610.064
2012-06-02Sebastian HornbostelManual testing2612620.128
2013-01-23dbaughManual testing2622630.409
2015-03-12VictordeHollanderManual testing2632640.819
2015-03-12VictordeHollanderManual testing2642651.558
2015-11-05ramgeisManual testing2652663.116
2017-06-27Gordon SpenceManual testing2662676.232
2019-02-25TJAOIManual testing26726812.46


ECM factoring results:
Total ECM effort:3.192 GHz-days
Estimated T-Level:20.658
DigitsB1CompleteFacMiss
20110001.42324.097%
25500000.13287.663%
302500000.00899.173%


ECM Summary

B1B2factorcurvesGHz-days
500005000000353.014
50000500000020.178


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-11-15MadPooManual testing9EFCE17883BFD4610.166


PRP results:
dateuseridcompidcofactorsres64
2020-04-01Daniil Tsarkov9900
738460164806549730929
3FEE418BC3C46A85
2020-04-02M Millercruncher
738460164806549730929
3FEE418BC3C46A85


CERT results:
No CERT results for M2398057


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 90000, B2 = 1845000 (P-1 stage 2)
B1 = 143530 (P-1 stage 1)
B1 = 116765 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
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
107
102
103
104
105
106
107
108
109
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
259
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=20.66 ~= 52-bit
250
260
270
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Last modified: 2024-02-29T14:28:04+00:00