is 2 1886011 - 1
has 567746 decimal digits
takes 0.102 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L5FAB35E9BC315C1Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26831.603769.1176%30958661886011001.03868.4505%32.642271.7274%2.6097%
PrimeNet2570.010263.1579%90001600000.00143.0339%0.011564.2756%1.1177%
GPU722610.162965.5738%100001500000.00141.6925%0.164366.1564%0.5827%
Difference+7+31.4408+3.5439%+3085866+188451100+1.0372+6.7580%+32.4780+5.5709%+5.5709%

Known prime factors (1 factor, 68.8 bits, 0.00364906% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
18860115216556957822997991032168.822138296037452141
173 × 1291 × 619209187
2020-01-23129161920918754.5262.65394.9565

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2012-01-17T08:01:00markrtiny2750006000000---0.046--3.541%
2015-10-07T20:00:18Bruno Victal5820K-linux5000001500000012---0.101--4.616%
2016-09-22T11:43:15Jocelyn Larouchelow 4M5000001650000012---0.108--4.700%
2016-10-07T05:52:33Jocelyn Larouchelow 4M500000198000006---0.122--4.861%
2016-10-09T19:39:51Jocelyn Larouchelow 4M5000005000000012---0.251--5.692%
2016-11-03T20:53:43Jocelyn Larouchelow 4M600000600000---0.047--1.927%
2016-12-24T02:11:47Jocelyn Larouchelow 4M720000720000---0.057--2.079%
2016-12-29T21:51:12Jocelyn Larouchelow 4M864000864000---0.068--2.238%
2017-01-21T06:59:36Jocelyn Larouchelow 4M10368001036800---0.082--2.403%
2017-03-01T23:52:30Jocelyn Larouchelow 4M12441601244160012---0.146--4.887%
2017-06-19T04:39:21Jocelyn Larouchelow 4M14929922687385612---0.226--5.777%
2017-07-05T22:42:05Jocelyn Larouchelow 4M17915901791590012---0.210--5.419%
2017-07-20T01:13:59Jocelyn Larouchelow 4M21499082149908012---0.252--5.694%
2017-07-20T22:16:50Jocelyn Larouchelow 4M25798892579889012---0.302--5.975%
2017-07-30T02:46:00Jocelyn Larouchelow 4M30958663095866012---0.363--6.262%
2018-02-16T12:53:14Jocelyn Larouchelow 4M30958666191732012---0.496--7.098%
2018-03-13T20:34:35Jocelyn Larouchelow 4M309586612383464012---0.761--7.939%
2018-05-02T11:49:43Jocelyn Larouchelow 4M309586618860110012---1.039--8.451%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-09T00:00:00ANONYMOUSv4_computers21258--0.020--
2016-02-23T16:28:56Mark RoseManual testing258260--0.061--
2010-04-01T14:42:00Architects CubedManual testing260261--0.081--
2016-02-23T16:28:56Mark RoseManual testing261262--0.163--
2011-03-08T05:15:00GrunwalderGIMPManual testing21263--0.846--
2016-02-23T16:28:56Mark RoseManual testing262263--0.520--
2015-05-10T01:55:00snme2pm1Manual testing263264--1.041--
2015-05-10T01:55:00snme2pm1Manual testing264265--1.981--
2015-09-13T19:11:00ramgeisManual testing265266--3.962--
2018-05-28T14:40:32TJAOIManual testing266267--7.924--
2019-06-24T09:35:59TJAOIManual testing267268--15.85--


ECM factoring results:

Old Calculation Method

Total ECM effort:18.904 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:18.904 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.4750.021%
25500000.76746.422%
302500000.04795.368%
3510000000.00299.782%


ECM Summary

B1B2factorcurvesGHz-days
500005000000785.406
50000500000030.208
50000660000017013.29


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-02T00:00:00ANONYMOUSv4_computers5FAB35E9BC315C1D0.102
2015-07-14T15:04:00MadPooManual testing5FAB35E9BC315C1D0.102


PRP results:
dateuseridcompidcofactorsres64PRP
2020-01-23T17:14:59mrhi
521655695782299799103
0E69E653BFA7DEF0no
2020-01-24T11:31:15marssystemssystem11
521655695782299799103
0E69E653BFA7DEF0no


P-1 factor-bounds graph:
B1 = 3095866, B2 = 188601100 (P-1 stage 2)
B1 = 3095866, B2 = 123834640 (P-1 stage 2)
B1 = 3095866, B2 = 61917320 (P-1 stage 2)
B1 = 3095866, B2 = 30958660 (P-1 stage 2)
B1 = 2579889, B2 = 25798890 (P-1 stage 2)
B1 = 2149908, B2 = 21499080 (P-1 stage 2)
B1 = 500000, B2 = 50000000 (P-1 stage 2)
B1 = 3095866 (P-1 stage 1)
B1 = 1492992, B2 = 26873856 (P-1 stage 2)
B1 = 1791590, B2 = 17915900 (P-1 stage 2)
B1 = 2579889 (P-1 stage 1)
B1 = 2149908 (P-1 stage 1)
B1 = 1244160, B2 = 12441600 (P-1 stage 2)
B1 = 1791590 (P-1 stage 1)
B1 = 500000, B2 = 19800000 (P-1 stage 2)
B1 = 1492992 (P-1 stage 1)
B1 = 500000, B2 = 16500000 (P-1 stage 2)
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 = 600000 (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: 2021-10-07T10:32:35+00:00