is 2 2034481 - 1
has 612440 decimal digits
takes 0.134 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L47182E7AFF578E9Cdouble-checked
PRPF9E6EB1505896E75verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26958.681769.5652%40000002000000001.39948.0927%60.081172.0282%2.4630%
PrimeNet2580.018963.7931%90001500000.00162.6155%0.020564.7401%0.9470%
GPU722620.302066.1290%90001200000.00141.3282%0.303466.5789%0.4499%
Difference+7+58.3797+3.4362%+3991000+199880000+1.3980+6.7645%+59.7777+5.4493%+5.4493%

Known prime factors (1 factor, 83.2 bits, 0.00408747% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2034481107964594378868747012523772683.1592653369443579683148
22 × 3 × 17 × 47 × 45503 × 6081765457
2021-09-164550360817654571,735,66131.59459.002

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-24T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.178%
2009-01-29T23:09:00markrManual testing1000003000000---0.025--2.287%
2014-07-04T02:22:00Jocelyn LaroucheManual testing131548131548---0.013--0.808%
2014-10-17T00:38:00Jocelyn LaroucheManual testing163096163096---0.016--0.913%
2015-10-05T10:35:08Bruno Victal4790K-windows5000001500000012---0.123--4.224%
2019-05-16T15:45:19mikrMSI400000020000000012---1.399--8.093%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-10T00:00:00ANONYMOUSv4_computers21258--0.019--
2016-02-23T16:29:04Mark RoseManual testing258260--0.057--
2009-01-02T22:06:00Sturle Sundegimba.ifi260261--0.075--
2012-02-10T16:47:00Sebastian HornbostelManual testing261262--0.151--
2013-08-29T08:26:00ramgeisManual testing262263--0.483--
2015-04-13T20:09:00VictordeHollanderManual testing263264--0.965--
2015-04-13T20:09:00VictordeHollanderManual testing264265--1.837--
2015-11-01T21:50:57ramgeisManual testing265266--3.673--
2016-07-29T19:18:38Gordon SpenceManual testing266267--7.346--
2019-03-20T02:02:08chuenkitManual testing267268--14.69--
2021-07-29T11:14:51TJAOIManual testing268269--29.38--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.443 GHz-days
Estimated T-Level:23.643
DigitsB1CurvesCompleteFacMiss
2011000204 / 1002.04012.870%
2550000204 / 2800.72948.197%

New Calculation Method

Total ECM effort:17.443 GHz-days
Estimated T-Level:23.643
DigitsB1CompleteFacMiss
20110006.6040.136%
25500000.59854.997%
302500000.03796.377%
3510000000.00299.831%


ECM Summary

B1B2factorcurvesGHz-days
50000500000019616.61
50000500000070.593
766202325961010.237


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-07T00:00:00ANONYMOUSv4_computers47182E7AFF578E9C0.134
2016-07-15T17:22:16Mark Roseleonardo47182E7AFF578E9C0.134


PRP results:
dateuseridcompidcofactorsres64PRP
2021-09-16T20:05:53mnd9front
10796459437886874701252377
F9E6EB1505896E75no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 200000000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 100000, B2 = 3000000 (P-1 stage 2)
B1 = 163096 (P-1 stage 1)
B1 = 131548 (P-1 stage 1)
B1 = 100000 (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: 2021-09-16T20:05:53+00:00