is 2 2868001 - 1
has 863355 decimal digits
takes 0.222 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LAE34FE10F9C822AAdouble-checked
PRP0408B62F32CFE091verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26941.627268.1159%50000002000000001.74988.5001%43.377070.8261%2.7102%
PrimeNet2590.026862.7119%130002400000.00282.9962%0.029663.8291%1.1172%
GPU722630.556565.0794%160002800000.00341.8693%0.559965.7321%0.6528%
Difference+6+41.0707+3.0366%+4984000+199720000+1.7464+6.6308%+42.8171+5.0940%+5.0940%

Known prime factors (1 factor, 76.1 bits, 0.00265404% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2868001819976800483022979787672376.11814295266990545383
32 × 8534297 × 186115271
2021-07-1085342971861152716,309.82.03932.1210

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-28T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.197%
2009-07-03T00:51:00Carsten Kossendeyleela15000157500---0.003--0.611%
2010-12-21T22:27:00Jocelyn LaroucheManual testing2000020000---0.002--0.228%
2011-01-03T14:36:00Jocelyn LaroucheManual testing3000030000---0.003--0.319%
2011-01-21T23:30:00Jocelyn LaroucheManual testing5000050000---0.006--0.465%
2011-02-11T00:26:00markrtiny1150002415000---0.027--2.361%
2016-08-29T10:01:39Jocelyn Larouchelow4M15306548300006---0.046--2.915%
2016-12-18T19:43:10Jocelyn Larouchelow 4M183678183678---0.021--1.035%
2017-01-10T10:25:07Jocelyn Larouchelow 4M220413220413---0.025--1.139%
2017-03-11T20:25:01Jocelyn Larouchelow 4M31739431739406---0.053--2.972%
2017-12-22T20:04:27Jocelyn Larouchelow 4M63478863478806---0.106--3.790%
2019-10-26T17:52:04masserManual testing28700002870000012---0.479--5.891%
2020-03-13T23:19:04masserManual testing500000020000000012---1.750--8.500%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:23Mark RoseManual testing21260--0.054--
2009-02-13T06:13:00Sturle Sundeletov.ifi260261--0.054--
2011-07-25T06:23:00Rob_Deetwopc261262--0.107--
2013-01-10T10:24:00dbaughManual testing262263--0.342--
2015-04-21T09:21:00VictordeHollanderManual testing263264--0.685--
2015-04-21T09:21:00VictordeHollanderManual testing264265--1.303--
2016-02-18T12:13:57ramgeisManual testing265266--2.606--
2017-11-12T17:07:18Gordon SpenceManual testing266267--5.211--
2019-01-08T01:21:05chuenkitManual testing267268--10.42--
2021-06-07T10:35:50TJAOIManual testing268269--20.84--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.204 GHz-days
Estimated T-Level:4.400
DigitsB1CurvesCompleteFacMiss
201100088 / 1000.88041.295%
255000088 / 2800.31472.990%

New Calculation Method

Total ECM effort:9.204 GHz-days
Estimated T-Level:4.400
DigitsB1CompleteFacMiss
20110002.8395.850%
25500000.25777.371%
302500000.01698.433%


ECM Summary

B1B2factorcurvesGHz-days
500005000000879.100
50000500000010.105


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-09T00:00:00ANONYMOUSv4_computersAE34FE10F9C822AA0.222
1999-07-12T00:00:00ANONYMOUSv4_computersAE34FE10F9C822AA0.222
2018-09-20T09:39:21kkmrkkblmbrbkoldAE34FE10F9C822AA0.222


PRP results:
dateuseridcompidcofactorsres64PRP
2021-07-10T21:30:02SRJ2877LTOS
81997680048302297978767
0408B62F32CFE091no


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 2870000, B2 = 28700000 (P-1 stage 2)
B1 = 2870000 (P-1 stage 1)
B1 = 634788, B2 = 6347880 (P-1 stage 2)
B1 = 634788 (P-1 stage 1)
B1 = 317394, B2 = 3173940 (P-1 stage 2)
B1 = 153065, B2 = 4830000 (P-1 stage 2)
B1 = 317394 (P-1 stage 1)
B1 = 115000, B2 = 2415000 (P-1 stage 2)
B1 = 220413 (P-1 stage 1)
B1 = 183678 (P-1 stage 1)
B1 = 153065 (P-1 stage 1)
B1 = 115000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 157500 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-07-10T21:30:02+00:00