is 2 20009411 - 1
has 6023433 decimal digits
takes 12.951 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L27881B92D9B976DDdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27395.597265.7534%25000056875000.51262.7859%96.109966.7075%0.9541%
PrimeNet2650.364661.5385%9000032000000.24354.9973%0.608163.4605%1.9220%
GPU722695.966563.7681%14000040000000.32883.6277%6.295365.0825%1.3144%
Difference+4+89.6307+1.9853%+110000+1687500+0.1839-0.8419%+89.8146+1.6250%+1.6250%

Known prime factors (1 factor, 83.2 bits, 0.00041582% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
20009411111364258262777520075836472683.203278279701143570693
32 × 7 × 37 × 269 × 16411 × 27042817
2022-01-251641127042817139,2861.39732.5825

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
unknown2500005687500---0.513--2.786%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2022-01-25T02:08:39ATHec2-P_110000002800000027P-12683.2032.779


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2002-08-17T00:00:00ANONYMOUSv4_computers21266--0.738--
2015-01-31T23:53:00NRManual testing266267--0.747--
2016-02-04T19:30:07mikrManual testing267268--1.494--
2016-02-04T19:30:07mikrManual testing268269--2.988--
2017-03-14T20:29:14ramgeisManual testing269270--5.975--
2019-09-27T04:15:54-Anonymous-Manual testing270271--11.95--
2021-05-23T23:59:50-Anonymous-Manual testing271272--23.90--
2021-05-23T23:59:50-Anonymous-Manual testing272273--47.80--


ECM factoring results:
No ECM results for M20009411


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2008-03-03T00:00:00ANONYMOUSv4_computers27881B92D9B976DD12.95


PRP results:
No PRP results for M20009411


P-1 factor-bounds graph:
B1 = 1000000, B2 = 28000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 250000, B2 = 5687500 (P-1 stage 2)
B1 = 250000 (P-1 stage 1)
103
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108
TF factor-bounds graph:
273
272
271
270
269
268
267
266
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270
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290
2100
Last modified: 2022-01-25T02:08:39+00:00