is 2 1781057 - 1
has 536152 decimal digits
takes 0.097 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L6A1073D1AF7BFFFDdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26716.683368.6567 %500000150000000.10155.0520 %16.784870.2402 %
Target2610.172565.5738 %80006500000.00341.4918 %0.175966.0874 %
Difference+6+16.5108+3.0829 %+492000+14350000+0.0981+3.5602%+16.6089+4.1528 %

Known prime factors (1 factor, 80.2 bits, 0.00450416% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
178105714096210768096971395079432580.222395725986537684403
395725986537684403
2013-06-181395725986537684403137,4841.696e+93.168e+9

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2011-02-07Carsten Kossendeymother9500016150006--0.0144.855%
2016-03-16alpertronManual testing5000001500000012---8.839%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2003-01-25ANONYMOUSv4_computers212580.022
2010-04-19Architects Cubedm1_76l2602610.086
2010-10-04GrunwalderGIMPManual testing212630.896


ECM factoring results:
Total ECM effort:38.435 GHz-days
Estimated T-Level:25.717
DigitsB1CompleteFacMiss
201100014.6150.000%
25500001.67118.807%
302500000.14386.643%
3510000000.01099.006%


ECM Summary

B1B2factorcurvesGHz-days
10.069
50000500000025017.06
250000400000005021.31


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-13Dr. Daniel J. Weidmanv4_computers6A1073D1AF7BFFFD0.097
2002-10-26Dr. Daniel J. Weidmanv4_computers6A1073D1AF7BFFFD0.097


PRP results:
dateuseridcompidcofactorsres64
2017-10-03Oliver KruseGTX-2
1409621076809697139507943
AFC0127607670711
2017-11-04Chang Chia-Tcheex01
1409621076809697139507943
AFC0127607670711


CERT results:
No CERT results for M1781057


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 95000, B2 = 1615000 (P-1 stage 2)
B1 = 95000 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.72 ~= 69-bit
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Last modified: 2024-02-29T14:28:04+00:00