is 2 4054709 - 1
has 1220590 decimal digits
takes 0.506 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 L-L tests remaining
ResidueStatus
L-LC57C4A8747048854double-checked
PRPACA2E618C080E960

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27058.931668.5714%2237739626566811.00006.3399%59.931670.5640%1.9926%
PrimeNet2610.075863.9344%160003200000.00592.7345%0.081664.9206%0.9862%
GPU722651.799366.1538%220003600000.00731.7535%1.806666.7473%0.5935%
Difference+5+57.1323+2.4176%+2215739+62296681+0.9927+4.5864%+58.1250+3.8166%+3.8166%

Known prime factors (1 factor, 88.6 bits, 0.00218584% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
40547094787184077487625818594341592788.62959032400074673987931
3 × 170441 × 2458901 × 46951997
2021-06-2324589014695199722,055,6270.88310.9050

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-17T11:22:00Carsten Kossendeydurandal20000300000---0.006--0.771%
2011-07-22T21:34:00harleeP4_260040000580000---0.013--1.175%
2013-06-10T01:57:00Squeeky_SquirrelP4_26001200002310000---0.043--2.206%
2018-12-14T12:06:18Ismo Laitela6600K22377396265668112---1.000--6.340%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-06-23T07:45:54ATH5960X250000017750000027P-12788.6292.096


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-03-17T00:00:00DLv4_computers?260--0.019--
2001-07-29T00:00:00ANONYMOUSv4_computers?261--0.038--
2010-10-13T07:51:00Grant McCrackenthumper261262--0.076--
2011-07-01T19:07:00GrunwalderGIMPManual testing21263--0.394--
2016-02-23T16:29:47Mark RoseManual testing262263--0.242--
2013-08-18T07:11:00JayderManual testing263264--0.484--
2013-10-07T16:37:00David CampeauManual testing264265--0.921--
2015-05-21T23:02:00snme2pm1Manual testing265266--1.843--
2016-09-19T07:13:11kkmrkkblmbrbkManual testing266267--3.686--
2018-11-03T05:35:16YxinityManual testing267268--7.372--
2020-10-30T19:00:14mikrManual testing268269--14.74--
2020-10-30T19:00:14mikrManual testing269270--29.49--


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)
1998-05-23T00:00:00DLv4_computersC57C4A87470488540.506
1999-10-15T00:00:00ANONYMOUSv4_computersC57C4A87470488540.506


PRP results:
dateuseridcompidcofactorsres64PRP
2021-06-24T11:23:35kutensrigel
478718407748762581859434159
ACA2E618C080E960no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 177500000 (P-1 stage 2)
B1 = 2237739, B2 = 62656681 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 2237739 (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 = 300000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-06-24T11:23:35+00:00