is 2 2803991 - 1
has 844086 decimal digits
takes 0.217 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L756D8A75E3B685BEdouble-checked
PRP858D3765023377AEverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27085.218068.5714%65000006240000004.49579.3800%89.713871.5194%2.9480%
PrimeNet2590.027462.7119%120002400000.00272.9279%0.030163.8036%1.0917%
GPU722630.569265.0794%150002600000.00321.7902%0.572465.7045%0.6252%
Difference+7+84.6489+3.4921%+6485000+623740000+4.4925+7.5898%+89.1414+5.8149%+5.8149%

Known prime factors (1 factor, 92.9 bits, 0.00331350% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
280399193055527665987261918077128732892.9101659340698061927836396
22 × 3 × 72 × 24281 × 116222889909857
2020-11-2424281116222889909857481,262,649709,1521,324,498

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-28T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.157%
2010-11-12T11:44:00Jocelyn LaroucheManual testing1500015000---0.002--0.146%
2010-11-20T04:46:00markrtiny1000002075000---0.023--1.953%
2014-11-10T23:29:00Jocelyn LaroucheManual testing122890122890---0.014--0.715%
2015-01-26T12:23:00Jocelyn LaroucheManual testing148696148696---0.017--0.800%
2015-01-31T14:55:00Jocelyn LaroucheManual testing179921179921---0.020--0.891%
2015-02-01T13:32:00Jocelyn LaroucheManual testing197913197913---0.022--0.939%
2015-02-03T07:46:00Jocelyn LaroucheManual testing217704217704---0.024--0.989%
2015-02-11T12:22:00Jocelyn LaroucheManual testing350612350612---0.039--1.262%
2015-02-15T21:12:00Jocelyn LaroucheManual testing424240424240---0.048--1.382%
2015-02-25T03:47:00Jocelyn LaroucheManual testing466664466664---0.052--1.445%
2015-03-02T13:10:00Jocelyn LaroucheManual testing513330513330---0.057--1.510%
2015-03-10T07:55:00Jocelyn LaroucheManual testing564663564663---0.063--1.576%
2015-03-14T11:30:00Jocelyn LaroucheManual testing621129621129---0.070--1.644%
2015-03-29T20:50:00Jocelyn LaroucheManual testing751565751565---0.084--1.785%
2015-04-08T16:59:00Jocelyn LaroucheManual testing826721826721---0.093--1.858%
2015-05-01T17:21:00Jocelyn LaroucheManual testing10003321000332---0.112--2.010%
2015-05-07T16:19:00Jocelyn LaroucheManual testing11003651100365---0.123--2.088%
2015-05-22T00:29:00Jocelyn LaroucheManual testing12104011210401---0.136--2.168%
2015-06-08T13:43:00Jocelyn LaroucheManual testing13314411331441---0.149--2.249%
2015-06-25T21:15:00Jocelyn LaroucheManual testing14645851464585---0.164--2.332%
2015-07-07T18:13:00Jocelyn LaroucheManual testing16110431611043---0.180--2.417%
2016-05-09T02:21:12mognutsStanley15000135000---0.002--0.490%
2016-08-01T15:21:53Jocelyn LaroucheManual testing161104332220866---0.190--3.060%
2018-10-19T12:14:50Jocelyn Larouchelow 4M28039912803991---0.314--2.944%
2019-11-13T13:54:37masserManual testing30000003000000012---0.501--5.451%
2020-01-02T15:52:51masserManual testing500000020000000012---1.750--7.844%
2021-09-21T02:54:34Dylan Delgadolaptop-ryzen737006500000624000000---4.496--9.380%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:22Mark RoseManual testing21260--0.055--
2009-02-13T21:39:00Sturle Sundevancraft.ifi260261--0.055--
2012-03-01T15:32:00Grant McCrackenthumper261262--0.110--
2013-01-14T12:31:00dbaughManual testing262263--0.350--
2015-04-25T17:15:00VictordeHollanderManual testing263264--0.700--
2015-04-25T17:15:00VictordeHollanderManual testing264265--1.333--
2016-01-10T08:17:53omylistManual testing265266--2.665--
2017-10-30T11:20:27mikrManual testing266267--5.330--
2017-10-30T11:20:27mikrManual testing267268--10.66--
2018-05-18T16:54:12YxinityManual testing268269--21.32--
2018-05-18T16:54:12YxinityManual testing269270--42.64--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.627 GHz-days
Estimated T-Level:2.700
DigitsB1CurvesCompleteFacMiss
201100054 / 1000.54058.117%
255000054 / 2800.19382.432%

New Calculation Method

Total ECM effort:5.627 GHz-days
Estimated T-Level:2.700
DigitsB1CompleteFacMiss
20110001.74217.518%
25500000.15785.433%
302500000.01099.035%


ECM Summary

B1B2factorcurvesGHz-days
500005000000515.315
50000500000030.313


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-02T00:00:00ANONYMOUSv4_computers756D8A75E3B685BE0.217
2018-09-01T23:29:57kkmrkkblmbrbkold756D8A75E3B685BE0.217


PRP results:
dateuseridcompidcofactorsres64PRP
2020-11-25T06:55:04mrhw
9305552766598726191807712873
858D3765023377AEno


P-1 factor-bounds graph:
B1 = 6500000, B2 = 624000000 (P-1 stage 2)
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 6500000 (P-1 stage 1)
B1 = 5000000 (P-1 stage 1)
B1 = 3000000, B2 = 30000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 2803991 (P-1 stage 1)
B1 = 1611043, B2 = 3222086 (P-1 stage 2)
B1 = 1611043 (P-1 stage 1)
B1 = 1464585 (P-1 stage 1)
B1 = 1331441 (P-1 stage 1)
B1 = 1210401 (P-1 stage 1)
B1 = 1100365 (P-1 stage 1)
B1 = 1000332 (P-1 stage 1)
B1 = 826721 (P-1 stage 1)
B1 = 751565 (P-1 stage 1)
B1 = 621129 (P-1 stage 1)
B1 = 564663 (P-1 stage 1)
B1 = 513330 (P-1 stage 1)
B1 = 466664 (P-1 stage 1)
B1 = 424240 (P-1 stage 1)
B1 = 350612 (P-1 stage 1)
B1 = 217704 (P-1 stage 1)
B1 = 100000, B2 = 2075000 (P-1 stage 2)
B1 = 197913 (P-1 stage 1)
B1 = 179921 (P-1 stage 1)
B1 = 148696 (P-1 stage 1)
B1 = 122890 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 15000, B2 = 135000 (P-1 stage 2)
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: 2021-09-21T02:54:34+00:00