is 2 1831681 - 1
has 551391 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-L3AD24165AB6FB249double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26832.541169.1176%18316811831681000.92128.0115%33.462371.5918%2.4741%
PrimeNet2570.010563.1579%80001500000.00122.8796%0.011764.2188%1.0609%
GPU722610.167765.5738%90001400000.00131.5949%0.169066.1228%0.5491%
Difference+7+32.3734+3.5439%+1822681+183028100+0.9200+6.4166%+33.2934+5.4690%+5.4690%

Known prime factors (1 factor, 68.9 bits, 0.00375990% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
18316815392149266910461032492168.869147191275852904
23 × 19 × 409 × 2367637303
2019-12-04409236763730363.37010.14718.952

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-11-09T00:00:00ANONYMOUSv4_computers25000437500---0.004--1.076%
2011-02-10T06:33:00Carsten Kossendeyleela1000001675000---0.015--2.210%
2014-05-19T21:00:00Jocelyn LaroucheManual testing135041135041---0.011--0.924%
2014-09-22T21:00:00Jocelyn LaroucheManual testing170082170082---0.013--1.050%
2015-06-22T08:08:00mikrMSI278000091760000---0.600--7.490%
2018-08-17T12:06:12Jocelyn Larouchelow 4M18316819341573112---0.537--7.249%
2018-09-10T11:52:00Jocelyn Larouchelow 4M183168118316810012---0.921--8.011%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-16T00:00:00ANONYMOUSv4_computers21258--0.021--
2016-02-23T16:28:54Mark RoseManual testing258260--0.063--
2010-04-16T12:29:00Architects Cubeda3_lm260261--0.084--
2016-02-23T16:28:54Mark RoseManual testing261262--0.168--
2011-01-21T16:10:00GrunwalderGIMPManual testing21263--0.871--
2016-02-23T16:28:54Mark RoseManual testing262263--0.536--
2015-04-26T11:10:00snme2pm1Manual testing263264--1.072--
2015-04-26T11:10:00snme2pm1Manual testing264265--2.040--
2015-09-04T17:59:00ramgeisManual testing265266--4.080--
2018-03-19T15:07:57TJAOIManual testing266267--8.159--
2019-07-01T11:11:03TJAOIManual testing267268--16.32--


ECM factoring results:

Old Calculation Method

Total ECM effort:18.983 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:18.983 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.5130.020%
25500000.77146.257%
302500000.04895.345%
3510000000.00299.781%


ECM Summary

B1B2factorcurvesGHz-days
500005000000634.352
50000500000010.069
50000660000018714.56


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-13T00:00:00slaurv4_computers3AD24165AB6FB2490.099
1999-01-29T00:00:00slaurv4_computers3AD24165AB6FB2490.099
2002-11-09T00:00:00ANONYMOUSv4_computers3AD24165AB6FB2490.099
2016-04-30T09:11:14kkmrkkblmbrbkold3AD24165AB6FB2490.099


PRP results:
dateuseridcompidcofactorsres64PRP
2019-12-05T13:16:55Yuji HASEGAWAvj20a
539214926691046103249
4D494D26F3AE240Dno
2019-12-06T12:31:56marssystemsSYSTEM01
539214926691046103249
4D494D26F3AE240Dno


P-1 factor-bounds graph:
B1 = 1831681, B2 = 183168100 (P-1 stage 2)
B1 = 2780000, B2 = 91760000 (P-1 stage 2)
B1 = 1831681, B2 = 93415731 (P-1 stage 2)
B1 = 2780000 (P-1 stage 1)
B1 = 1831681 (P-1 stage 1)
B1 = 100000, B2 = 1675000 (P-1 stage 2)
B1 = 170082 (P-1 stage 1)
B1 = 135041 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 25000, B2 = 437500 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-04-23T12:19:39+00:00