is 2 1928629 - 1
has 580576 decimal digits
takes 0.105 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA2838A3AFB7C79E3double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26830.905369.1176%80000003200000001.96659.7435%32.871872.1267%3.0090%
PrimeNet2570.010063.1579%90001700000.00143.0954%0.011464.2983%1.1404%
GPU722610.159365.5738%110001700000.00151.8145%0.160866.1984%0.6247%
Difference+7+30.7460+3.5439%+7989000+319830000+1.9649+7.9290%+32.7109+5.9282%+5.9282%

Known prime factors (1 factor, 85.1 bits, 0.00441221% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1928629413246238967352467891144332685.09510713471563669126304
25 × 3 × 13 × 73 × 919 × 127960893629
2020-07-119191279608936295,192,009548.411,024.3

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-04-09T00:00:00ANONYMOUSv4_computers3000009000000---0.061--3.910%
2015-10-08T07:36:59Bruno Victal5820K-linux5000001500000012---0.101--4.629%
2016-08-31T02:35:07Jocelyn Larouchelow4M6000003000000012---0.173--5.368%
2016-09-30T05:55:07Jocelyn Larouchelow 4M600000330000006---0.186--5.457%
2017-01-03T05:50:44Jocelyn Larouchelow 4M864000864000---0.068--2.245%
2017-01-21T06:59:44Jocelyn Larouchelow 4M11568001156800---0.091--2.513%
2017-06-27T02:15:38Jocelyn Larouchelow 4M13881602498688012---0.210--5.677%
2018-01-26T10:35:28mikrS068800000032000000012---1.966--9.743%
2018-03-28T11:55:43Jocelyn Larouchelow 4M192862919286290012---0.970--8.152%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2002-12-09T00:00:00ANONYMOUSv4_computers21258--0.020--
2016-02-23T16:28:58Mark RoseManual testing258260--0.060--
2010-02-08T14:53:00S485122USB-W260261--0.080--
2016-02-23T16:28:58Mark RoseManual testing261262--0.159--
2011-08-27T22:21:00GrunwalderGIMPManual testing21263--0.828--
2016-02-23T16:28:58Mark RoseManual testing262263--0.509--
2015-05-17T23:04:00snme2pm1Manual testing263264--1.018--
2015-05-17T23:04:00snme2pm1Manual testing264265--1.937--
2015-09-03T11:06:00ramgeisManual testing265266--3.875--
2018-03-19T15:07:57TJAOIManual testing266267--7.749--
2019-05-04T08:32:09chuenkitManual testing267268--15.50--


ECM factoring results:

Old Calculation Method

Total ECM effort:18.531 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:18.531 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.3680.023%
25500000.75746.891%
302500000.04795.431%
3510000000.00299.786%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001268.755
50000500000030.208
5000066000001229.57


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-17T00:00:00ANONYMOUSv4_computersA2838A3AFB7C79E30.105
2015-06-29T14:43:00MadPooManual testingA2838A3AFB7C79E30.105


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-12T04:48:48pew10980xe_1
41324623896735246789114433
5A129458B21F8223no
2020-07-13T00:30:22marssystemsSYSTEM01
41324623896735246789114433
5A129458B21F8223no


P-1 factor-bounds graph:
B1 = 8000000, B2 = 320000000 (P-1 stage 2)
B1 = 1928629, B2 = 192862900 (P-1 stage 2)
B1 = 8000000 (P-1 stage 1)
B1 = 1388160, B2 = 24986880 (P-1 stage 2)
B1 = 600000, B2 = 33000000 (P-1 stage 2)
B1 = 600000, B2 = 30000000 (P-1 stage 2)
B1 = 1928629 (P-1 stage 1)
B1 = 1388160 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1156800 (P-1 stage 1)
B1 = 864000 (P-1 stage 1)
B1 = 300000, B2 = 9000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-02-17T11:37:42+00:00