is 2 2235067 - 1
has 672823 decimal digits
takes 0.147 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L3CD79DF407593D06double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.294467.1642%500000150000000.12305.1919%13.417468.8690%1.7048%
PrimeNet2580.017262.0690%100001800000.00182.8714%0.019063.1581%1.0892%
GPU722620.274964.5161%110001900000.00201.6578%0.276965.1044%0.5882%
Difference+5+13.0195+2.6481%+489000+14810000+0.1210+3.5341%+13.1406+3.7646%+3.7646%

Known prime factors (1 factor, 85.4 bits, 0.00382145% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2235067514735353901778856424755372685.41211514987110045892504
23 × 3 × 1349533 × 355523821637
2013-06-2413495333555238216376,392,4241,846.83,449.1

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.282%
2010-10-30T19:40:00Oscar Östlin7501175011---0.007--0.782%
2011-01-13T18:33:00Oscar Östlin850001615000---0.016--2.467%
2016-04-17T12:47:20alpertronManual testing5000001500000012---0.123--5.192%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-02-07T00:00:00ANONYMOUSv4_computers21258--0.017--
2022-03-09T16:36:48LordJuliusManual testing21260--0.069--
2009-01-11T09:30:00Sturle Sundegoldiek.ifi260261--0.069--
2012-04-20T20:47:00Sebastian HornbostelManual testing261262--0.137--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.772 GHz-days
Estimated T-Level:0.450
DigitsB1CurvesCompleteFacMiss
20110009 / 1000.09091.352%
25500009 / 2800.03296.831%

New Calculation Method

Total ECM effort:0.772 GHz-days
Estimated T-Level:0.450
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000090.772


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00ANONYMOUSv4_computers3CD79DF407593D060.147


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-10T12:03:22Oliver KruseGTX-2
51473535390177885642475537
9C7011A677E579__no
2017-11-20T15:59:10kkmrkkblmbrbkc4.xlarge
51473535390177885642475537
9C7011A677E579__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 85000, B2 = 1615000 (P-1 stage 2)
B1 = 85000 (P-1 stage 1)
B1 = 75011 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
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104
105
106
107
102
103
104
105
106
107
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109
1010
1011
1012
TF factor-bounds graph:
267
262
261
260
258
250
260
270
280
290
2100
Last modified: 2022-03-09T16:36:48+00:00