is 2 2056193 - 1
has 618976 decimal digits
takes 0.135 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LE8EA4A802F7829F9double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26714.450968.6567%27000048600000.04963.7936%14.500569.8457%1.1890%
PrimeNet2580.018763.7931%90001600000.00162.6671%0.020364.7588%0.9657%
GPU722620.298866.1290%90001200000.00141.3311%0.300266.5799%0.4509%
Difference+5+14.1522+2.5277%+261000+4740000+0.0481+2.4624%+14.2003+3.2658%+3.2658%

Known prime factors (1 factor, 91.4 bits, 0.00444312% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
205619331757542633069140397120949512891.359772241288465361481075
52 × 31 × 996440372213369653
2016-07-1731996440372213369653414,667,5825.176e+99.667e+9

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-24T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.275%
2009-06-21T15:12:00harleeT7500_220020000260000---0.003--1.016%
2010-12-26T02:29:00Jocelyn LaroucheManual testing3000030000---0.003--0.413%
2011-01-06T01:06:00Jocelyn LaroucheManual testing5000050000---0.005--0.593%
2011-01-22T00:55:00James Heinrichi7-9201350002902500---0.027--3.045%
2014-10-26T00:59:00Jocelyn LaroucheManual testing166215166215---0.016--1.209%
2016-05-15T21:00:27Jocelyn LaroucheManual testing27000048600006---0.050--3.794%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:04Mark RoseManual testing21260--0.075--
2009-01-03T05:19:00Sturle Sundegorky.ifi260261--0.075--
2012-03-11T19:47:00Sebastian HornbostelManual testing261262--0.149--
2013-09-01T20:20:00ramgeisManual testing262263--0.477--
2015-04-21T09:19:00VictordeHollanderManual testing263264--0.955--
2015-04-21T09:19:00VictordeHollanderManual testing264265--1.817--
2015-11-03T10:10:05ramgeisManual testing265266--3.634--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.805 GHz-days
Estimated T-Level:1.600
DigitsB1CurvesCompleteFacMiss
201100032 / 1000.32072.498%
255000032 / 2800.11489.182%

New Calculation Method

Total ECM effort:2.805 GHz-days
Estimated T-Level:1.600
DigitsB1CompleteFacMiss
20110001.05634.769%
25500000.09590.934%
302500000.00699.415%


ECM Summary

B1B2factorcurvesGHz-days
500005000000242.037
50000500000010.085
50000683794470.683


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-29T00:00:00ANONYMOUSv4_computersE8EA4A802F7829F90.135
2016-07-16T00:40:38Mark RoseraphaelE8EA4A802F7829F90.135


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-06T09:30:55Oliver KruseGTX-1
3175754263306914039712094951
65112D9274AD1E__no
2017-11-15T14:20:59ATHec2-1xf
3175754263306914039712094951
65112D9274AD1E__no


P-1 factor-bounds graph:
B1 = 270000, B2 = 4860000 (P-1 stage 2)
B1 = 135000, B2 = 2902500 (P-1 stage 2)
B1 = 270000 (P-1 stage 1)
B1 = 166215 (P-1 stage 1)
B1 = 135000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 260000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-05-22T10:39:58+00:00