is 2 11215907 - 1
has 3376325 decimal digits
takes 3.795 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LD45466B08C5C7531double-checked
PRP193E644FE7A4E8A6PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27285.265866.6667%61891071856732107.83367.6863%93.099469.2288%2.5621%
PrimeNet2640.317362.5000%5000015000000.06334.0057%0.380664.0021%1.5021%
GPU722685.314364.7059%8000019000000.08792.8775%5.402265.7215%1.0156%
Difference+4+79.9515+1.9608%+6109107+183773210+7.7457+4.8088%+87.6972+3.5073%+1.5465%

Known prime factors (1 factor, 122.8 bits, 0.00109495% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
11215907931334958686143054698797980267496175137122.809415184861414303388347816177625
3 × 53 × 53 × 1223 × 15139 × 155581 × 355573 × 20395079
2021-12-27355573203950791.500e+100.71011.0181

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-01-27T00:00:00ANONYMOUSv4_computers650001105000---0.060--1.463%
2015-02-01T09:32:00Sid & AndyHamm1300002437500---0.125--2.092%
2021-12-26T23:38:38LaurVManual testing618910718567321037122.8097.8347.58915.677.686%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-03-15T00:00:00ANONYMOUSv4_computers21264--0.317--
2013-11-23T00:09:00lycornManual testing264265--0.333--
2015-05-07T07:04:00NesowaManual testing265266--0.666--
2015-12-28T01:28:17VictordeHollanderManual testing266267--1.333--
2017-12-27T12:56:40ramgeisManual testing267268--2.665--
2017-12-27T12:56:40ramgeisManual testing268269--5.330--
2021-08-07T17:47:58SRBaseManual testing269270--10.66--
2021-08-14T06:29:59SRBaseManual testing270271--21.32--
2021-10-30T17:54:17SRBaseManual testing271272--42.64--


ECM factoring results:
Total ECM effort:1.029 GHz-days
Estimated T-Level:0.385
DigitsB1CompleteFacMiss
20110000.07792.596%
25500000.00799.291%


ECM Summary

B1B2factorcurvesGHz-days
50000500000021.029


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-11-25T00:00:00ANONYMOUSv4_computersD45466B08C5C75313.795
2004-02-23T00:00:00ANONYMOUSv4_computersD45466B08C5C75313.795


PRP results:
dateuseridcompidcofactorsres64PRP
2021-12-29T00:15:57LaurVtrabi
9313349586861430546987979802674961751
193E644FE7A4E8A6no


P-1 factor-bounds graph:
B1 = 6189107, B2 = 185673210 (P-1 stage 2)
B1 = 6189107 (P-1 stage 1)
B1 = 130000, B2 = 2437500 (P-1 stage 2)
B1 = 130000 (P-1 stage 1)
B1 = 65000, B2 = 1105000 (P-1 stage 2)
B1 = 65000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-12-29T00:15:57+00:00