is 2 1828637 - 1
has 550475 decimal digits
takes 0.099 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF2604209E420DEEDdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26832.595269.1176%18286371828637000.91978.0070%33.515071.5904%2.4727%
PrimeNet2570.010563.1579%80001500000.00122.8787%0.011764.2185%1.0606%
GPU722610.168065.5738%90001400000.00131.5944%0.169366.1226%0.5489%
Difference+7+32.4273+3.5439%+1819637+182723700+0.9184+6.4126%+33.3457+5.4677%+5.4677%

Known prime factors (1 factor, 75.8 bits, 0.00414291% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1828637639281022890198327796972375.75917479713658046904
23 × 32 × 11 × 1487 × 14842196051
2019-11-301487148421960514,423.663.610118.81

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-12-31T21:16:00markrtiny2750006000000---0.046--3.526%
2015-10-06T21:30:15Bruno Victal5820K-linux5000001500000012---0.101--4.599%
2016-10-27T15:20:23Jocelyn Larouchelow 4M660000660000---0.052--1.997%
2016-10-29T20:53:42Jocelyn Larouchelow 4M792000792000---0.062--2.152%
2016-11-03T20:53:44Jocelyn Larouchelow 4M11404801140480---0.090--2.481%
2017-03-21T00:47:12Jocelyn Larouchelow 4M13685761368576012---0.160--5.006%
2018-01-16T13:12:10Jocelyn Larouchelow 4M18286371368576012---0.195--5.113%
2018-02-04T16:40:55Jocelyn Larouchelow 4M18286372737152012---0.253--5.875%
2018-02-10T10:46:30Jocelyn Larouchelow 4M18286375474304012---0.371--6.646%
2018-02-27T12:51:00Jocelyn Larouchelow 4M182863710948608012---0.605--7.425%
2018-05-03T11:47:06Jocelyn Larouchelow 4M182863718286370012---0.920--8.007%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-16T00:00:00ANONYMOUSv4_computers21258--0.021--
2016-02-23T16:28:54Mark RoseManual testing258260--0.063--
2010-04-10T15:57:00Architects CubedManual testing260261--0.084--
2016-02-23T16:28:54Mark RoseManual testing261262--0.168--
2011-03-08T05:14:00GrunwalderGIMPManual testing21263--0.873--
2016-02-23T16:28:54Mark RoseManual testing262263--0.537--
2015-04-25T23:44:00snme2pm1Manual testing263264--1.074--
2015-04-25T23:44:00snme2pm1Manual testing264265--2.043--
2015-09-04T17:59:00ramgeisManual testing265266--4.087--
2018-04-16T13:13:00TJAOIManual testing266267--8.173--
2019-06-24T09:36:03TJAOIManual testing267268--16.35--


ECM factoring results:

Old Calculation Method

Total ECM effort:18.997 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:18.997 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.5170.020%
25500000.77146.237%
302500000.04895.342%
3510000000.00299.781%


ECM Summary

B1B2factorcurvesGHz-days
500005000000604.144
50000500000020.138
50000660000018914.71


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-02T00:00:00ANONYMOUSv4_computersF2604209E420DEED0.099
2015-07-18T18:30:00MadPooManual testingF2604209E420DEED0.099


PRP results:
dateuseridcompidcofactorsres64PRP
2019-11-30T21:24:12mnd975211backdoor
63928102289019832779697
83499771E2C88B81no
2019-11-30T22:06:25ATHec2-PRPCFDC
63928102289019832779697
83499771E2C88B81no


P-1 factor-bounds graph:
B1 = 1828637, B2 = 182863700 (P-1 stage 2)
B1 = 1828637, B2 = 109486080 (P-1 stage 2)
B1 = 1828637, B2 = 54743040 (P-1 stage 2)
B1 = 1828637, B2 = 27371520 (P-1 stage 2)
B1 = 1828637, B2 = 13685760 (P-1 stage 2)
B1 = 1368576, B2 = 13685760 (P-1 stage 2)
B1 = 1828637 (P-1 stage 1)
B1 = 1368576 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1140480 (P-1 stage 1)
B1 = 792000 (P-1 stage 1)
B1 = 660000 (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: 2021-04-09T16:12:54+00:00