is 2 1825781 - 1
has 549615 decimal digits
takes 0.099 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF50FBB1B5FD6A1BBdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26716.274668.6567%500000150000000.10155.0672%16.376170.2449%1.5882%
PrimeNet2570.010563.1579%80001500000.00122.8779%0.011864.2182%1.0603%
GPU722610.168265.5738%90001400000.00131.5938%0.169566.1225%0.5487%
Difference+6+16.1064+3.0829%+491000+14860000+0.1002+3.4733%+16.2066+4.1225%+4.1225%

Known prime factors (2 factors, 141.1 bits, 0.00772777% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
182578110569019396371463270072269.840289438311505363
289438311505363
2020-06-16128943831150536386.4101,240,4602,316,834
182578128114541028274496655592271.252769931909365759
7 × 2333 × 47145423389
2011-03-06233347145423389300.35202.05377.38

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1825781297143129447914458911947866680908739945191343141.092
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:38:49alpertronManual testing5000001500000012---0.101--5.067%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-16T00:00:00ANONYMOUSv4_computers21258--0.021--
2022-03-08T23:06:28LordJuliusManual testing258260--0.063--
2022-03-09T03:44:03LordJuliusManual testing21260--0.084--
2010-04-10T15:57:00Architects CubedManual testing260261--0.084--


ECM factoring results:

Old Calculation Method

Total ECM effort:20.207 GHz-days
Estimated T-Level:24.714
DigitsB1CurvesCompleteFacMiss
2011000264 / 1002.6407.042%
2550000264 / 2800.94338.886%

New Calculation Method

Total ECM effort:20.207 GHz-days
Estimated T-Level:24.714
DigitsB1CompleteFacMiss
20110009.0170.012%
25500000.81744.183%
302500000.05195.072%
3510000000.00299.768%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
500005000000362.486
50000500000030.207
50000660000022517.51


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-06T00:00:00ANONYMOUSv4_computersF50FBB1B5FD6A1BB0.099
1998-12-21T00:00:00ANONYMOUSv4_computersF50FBB1B5FD6A1BB0.099


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-04T00:31:09Oliver KruseGTX-0
2811454102827449665559
FAD08C7138FF0F__no
2017-11-06T02:35:21kkmrkkblmbrbkc4.xlarge
2811454102827449665559
FAD08C7138FF0F__no
2020-06-17T02:48:18CrypticCluecruncher
1056901939637146327007
2811454102827449665559
95B0467285181834no
2020-06-17T03:07:10ATHec2-PRPCFDC
1056901939637146327007
2811454102827449665559
95B0467285181834no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
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TF factor-bounds graph:
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2100
Last modified: 2022-03-09T03:44:03+00:00