is 2 2055679 - 1
has 618822 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-L-unknown--unknown-
PRPCA506780C57F09A4verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26828.995269.1176%36000001800000001.25958.5634%30.254771.7622%2.6446%
PrimeNet2580.018763.7931%90001600000.00162.6670%0.020364.7587%0.9656%
GPU722620.298966.1290%90001200000.00141.3311%0.300366.5799%0.4508%
Difference+6+28.6964+2.9886%+3591000+179880000+1.2580+7.2323%+29.9544+5.1823%+5.1823%

Known prime factors (1 factor, 85.4 bits, 0.00415229% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2055679495752963581451774990387272685.35812058131731205401597
7 × 43 × 239 × 167616059873023
2021-04-232391676160598730235,261,371870,6401,626,113

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-24T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.222%
2006-01-15T00:00:00Jocelyn Larouchev4_computers40004000---0.000--0.047%
2009-06-21T14:53:00harleeT7500_220020000260000---0.003--0.873%
2010-12-26T02:29:00Jocelyn LaroucheManual testing3000030000---0.003--0.350%
2011-01-06T01:06:00Jocelyn LaroucheManual testing5000050000---0.005--0.508%
2011-01-21T14:45:00James Heinrichi7-9201350002902500---0.027--2.716%
2014-10-26T00:59:00Jocelyn LaroucheManual testing166223166223---0.016--1.058%
2016-05-15T21:00:27Jocelyn LaroucheManual testing27000048600006---0.050--3.413%
2016-09-22T12:02:52Jocelyn Larouchelow 4M27000058320006---0.055--3.551%
2016-11-07T03:11:23Jocelyn Larouchelow 4M324000324000---0.031--1.482%
2017-02-02T09:34:40mikrMSI250000012500000012---0.875--7.882%
2017-03-13T15:12:12mikrS052360000018000000012---1.259--8.563%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:04Mark RoseManual testing21260--0.075--
2009-01-03T01:12:00Sturle Sundegorky.ifi260261--0.075--
2012-03-11T19:47:00Sebastian HornbostelManual testing261262--0.149--
2013-09-01T20:20:00ramgeisManual testing262263--0.478--
2015-04-21T09:19:00VictordeHollanderManual testing263264--0.955--
2015-04-21T09:19:00VictordeHollanderManual testing264265--1.818--
2015-11-03T10:10:05ramgeisManual testing265266--3.635--
2016-08-18T20:55:12Gordon SpenceManual testing266267--7.270--
2019-03-24T00:15:08chuenkitManual testing267268--14.54--


ECM factoring results:

Old Calculation Method

Total ECM effort:15.174 GHz-days
Estimated T-Level:23.161
DigitsB1CurvesCompleteFacMiss
2011000177 / 1001.77016.882%
2550000177 / 2800.63253.085%

New Calculation Method

Total ECM effort:15.174 GHz-days
Estimated T-Level:23.161
DigitsB1CompleteFacMiss
20110005.7330.324%
25500000.51959.501%
302500000.03296.845%
3510000000.00199.853%


ECM Summary

B1B2factorcurvesGHz-days
50000500000017214.60
50000500000040.339
766202325961010.238


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-11-13T23:39:17MadPooManual testing6F97CBE7A32C67__0.135


PRP results:
dateuseridcompidcofactorsres64PRP
2021-04-24T05:38:37XZTN4640G2
49575296358145177499038727
CA506780C57F09A4no
2021-04-30T17:05:57Kirill Frolovshodan1
49575296358145177499038727
CA506780C57F09A4no


P-1 factor-bounds graph:
B1 = 3600000, B2 = 180000000 (P-1 stage 2)
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 3600000 (P-1 stage 1)
B1 = 2500000 (P-1 stage 1)
B1 = 270000, B2 = 5832000 (P-1 stage 2)
B1 = 270000, B2 = 4860000 (P-1 stage 2)
B1 = 324000 (P-1 stage 1)
B1 = 135000, B2 = 2902500 (P-1 stage 2)
B1 = 270000 (P-1 stage 1)
B1 = 166223 (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 = 4000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-04-30T17:05:57+00:00