is 2 4048969 - 1
has 1218862 decimal digits
takes 0.505 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 L-L tests remaining
ResidueStatus
L-LF986A583E896D656double-checked
PRPFF5706BB923F6CA7

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27059.015268.5714%2189464634944581.00006.3413%60.015270.5644%1.9930%
PrimeNet2610.075963.9344%160003200000.00592.7338%0.081864.9204%0.9860%
GPU722651.801966.1538%220003600000.00731.7531%1.809266.7472%0.5933%
Difference+5+57.2133+2.4176%+2167464+63134458+0.9927+4.5882%+58.2060+3.8172%+3.8172%

Known prime factors (1 factor, 71.5 bits, 0.00176661% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
404896934081676202896204457112271.529420868574233295
5 × 10867 × 7745809777
2021-06-16108677745809777223.2876.322142.54

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-16T10:12:00Carsten Kossendeydurandal20000295000---0.006--0.767%
2011-06-29T20:35:00harleeP4_260040000580000---0.013--1.175%
2013-06-05T19:01:00Squeeky_SquirrelP4_26001200002310000---0.043--2.205%
2016-11-19T07:32:05Ismo Laitela6600K21894646349445812---1.000--6.341%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-06-16T06:25:57ATH5960X2500000250000027P+12271.5290.606


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-08-04T00:00:00ANONYMOUSv4_computers?261--0.038--
2010-10-08T04:23:00Grant McCrackenthumper261262--0.076--
2011-05-28T03:15:00GrunwalderGIMPManual testing21263--0.394--
2016-02-23T16:29:47Mark RoseManual testing262263--0.242--
2013-08-16T06:22:00JayderManual testing263264--0.485--
2013-10-09T03:38:00David CampeauManual testing264265--0.923--
2015-05-21T01:53:00snme2pm1Manual testing265266--1.846--
2016-09-14T15:33:35kkmrkkblmbrbkManual testing266267--3.691--
2018-10-23T16:49:12YxinityManual testing267268--7.382--
2020-08-18T18:05:25mikrManual testing268269--14.76--
2020-08-18T18:05:25mikrManual testing269270--29.53--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.165 GHz-days
Estimated T-Level:0.600
DigitsB1CurvesCompleteFacMiss
201100012 / 1000.12088.638%
255000012 / 2800.04395.797%

New Calculation Method

Total ECM effort:2.165 GHz-days
Estimated T-Level:0.600
DigitsB1CompleteFacMiss
20110000.38767.903%
25500000.03596.562%
302500000.00299.785%


ECM Summary

B1B2factorcurvesGHz-days
500005000000122.165


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-10-07T00:00:00ANONYMOUSv4_computersF986A583E896D6560.505


PRP results:
dateuseridcompidcofactorsres64PRP
2021-06-17T00:58:50tottenhoff2018pc
3408167620289620445711
FF5706BB923F6CA7no


P-1 factor-bounds graph:
B1 = 2189464, B2 = 63494458 (P-1 stage 2)
B1 = 2500000 (P+1 stage 1)
B1 = 2189464 (P-1 stage 1)
B1 = 120000, B2 = 2310000 (P-1 stage 2)
B1 = 120000 (P-1 stage 1)
B1 = 40000, B2 = 580000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
B1 = 20000, B2 = 295000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-06-17T00:58:50+00:00