is 2 1851901 - 1
has 557478 decimal digits
takes 0.100 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L60CF3345A556B228double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26832.185869.1176%18519012037091101.01088.1500%33.196671.6346%2.5169%
PrimeNet2570.010463.1579%90001600000.00143.0237%0.011764.2719%1.1140%
GPU722610.165965.5738%90001500000.00131.6313%0.167266.1354%0.5616%
Difference+7+32.0199+3.5439%+1842901+203559110+1.0095+6.5187%+33.0294+5.4992%+5.4992%

Known prime factors (1 factor, 82.6 bits, 0.00445997% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
185190172998453342353241830810632582.5941970905932400091631
3 × 7 × 31 × 27878651 × 108595831
2019-12-2527878651108595831795,7512.53894.4631

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2012-01-04T02:17:00markrtiny2750006000000---0.046--3.532%
2015-10-07T01:06:20Bruno Victal5820K-linux5000001500000012---0.101--4.606%
2016-10-29T20:53:44Jocelyn Larouchelow 4M864000864000---0.068--2.232%
2016-12-18T19:36:11Jocelyn Larouchelow 4M720000720000---0.057--2.074%
2017-01-12T03:16:24Jocelyn Larouchelow 4M10368001036800---0.082--2.397%
2017-02-11T17:53:09Jocelyn Larouchelow 4M12441601244160012---0.146--4.877%
2018-01-12T22:10:21Jocelyn Larouchelow 4M18519011244160012---0.191--5.020%
2018-02-04T16:40:55Jocelyn Larouchelow 4M18519012488320012---0.244--5.783%
2018-02-10T01:31:07Jocelyn Larouchelow 4M18519014976640012---0.351--6.555%
2018-02-24T22:02:47Jocelyn Larouchelow 4M18519019953280012---0.564--7.336%
2018-09-24T11:55:47Jocelyn Larouchelow 4M185190118519010012---0.931--8.041%
2018-10-25T11:45:53Jocelyn LaroucheManual testing185190120370911012---1.011--8.150%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-16T00:00:00ANONYMOUSv4_computers21258--0.021--
2016-02-23T16:28:55Mark RoseManual testing258260--0.062--
2010-04-13T12:48:00Architects Cubeda3_bu2260261--0.083--
2016-02-23T16:28:55Mark RoseManual testing261262--0.166--
2011-01-21T16:11:00GrunwalderGIMPManual testing21263--0.862--
2016-02-23T16:28:55Mark RoseManual testing262263--0.530--
2015-05-01T01:43:00snme2pm1Manual testing263264--1.060--
2015-05-01T01:43:00snme2pm1Manual testing264265--2.018--
2015-09-08T08:29:00ramgeisManual testing265266--4.035--
2018-06-11T13:42:35TJAOIManual testing266267--8.070--
2019-06-10T09:46:20TJAOIManual testing267268--16.14--


ECM factoring results:

Old Calculation Method

Total ECM effort:18.913 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:18.913 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.4880.021%
25500000.76946.363%
302500000.04895.360%
3510000000.00299.782%


ECM Summary

B1B2factorcurvesGHz-days
500005000000724.980
50000500000030.207
50000660000017613.73


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-27T00:00:00Stephen Woodv4_computers60CF3345A556B2280.100
2015-07-03T04:32:00MadPooManual testing60CF3345A556B2280.100


PRP results:
dateuseridcompidcofactorsres64PRP
2019-12-26T00:43:43Niels_Mache_NextcloudSuperDry-X
7299845334235324183081063
5DA69D60B5BA042Ano
2019-12-26T19:06:52marssystemssystem11
7299845334235324183081063
5DA69D60B5BA042Ano


P-1 factor-bounds graph:
B1 = 1851901, B2 = 203709110 (P-1 stage 2)
B1 = 1851901, B2 = 185190100 (P-1 stage 2)
B1 = 1851901, B2 = 99532800 (P-1 stage 2)
B1 = 1851901, B2 = 49766400 (P-1 stage 2)
B1 = 1851901, B2 = 24883200 (P-1 stage 2)
B1 = 1851901, B2 = 12441600 (P-1 stage 2)
B1 = 1244160, B2 = 12441600 (P-1 stage 2)
B1 = 1851901 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1244160 (P-1 stage 1)
B1 = 1036800 (P-1 stage 1)
B1 = 864000 (P-1 stage 1)
B1 = 720000 (P-1 stage 1)
B1 = 275000, B2 = 6000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 275000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-07-23T11:16:45+00:00