is 2 2844119 - 1
has 856166 decimal digits
takes 0.220 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L4856FB87953C921Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26820.957267.6471%39000039000000.06513.5534%21.022368.7967%1.1496%
PrimeNet2590.027062.7119%130002400000.00282.9917%0.029863.8274%1.1156%
GPU722630.561265.0794%160002600000.00331.8282%0.564465.7178%0.6384%
Difference+5+20.3961+2.5677%+374000+3640000+0.0618+1.7252%+20.4579+3.0789%+3.0789%

Known prime factors (1 factor, 70.8 bits, 0.00248954% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
284411920632171320989102602812270.805362716386357060
22 × 32 × 5 × 41 × 7219 × 6808223
2019-02-127219680822386.2000.04230.0776

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-28T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.244%
2008-10-31T19:25:00Jayson Kingatlas35000560000---0.007--1.388%
2011-01-24T11:29:00Jocelyn LaroucheManual testing5000050000---0.006--0.543%
2012-01-13T02:55:00Squeeky_SquirrelP4_26001950004875000---0.050--3.398%
2017-06-28T04:14:49Jocelyn Larouchelow 4M39000039000006---0.065--3.553%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:23Mark RoseManual testing21260--0.054--
2009-02-13T16:24:00Sturle Sundegiacco.ifi260261--0.054--
2012-02-08T11:53:00Grant McCrackenthumper261262--0.108--
2013-01-10T10:23:00dbaughManual testing262263--0.345--
2015-04-21T09:19:00VictordeHollanderManual testing263264--0.690--
2015-04-21T09:19:00VictordeHollanderManual testing264265--1.314--
2016-02-14T20:28:49ramgeisManual testing265266--2.627--
2017-11-04T13:51:45Gordon SpenceManual testing266267--5.255--
2019-01-05T03:38:52chuenkitManual testing267268--10.51--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.133 GHz-days
Estimated T-Level:1.500
DigitsB1CurvesCompleteFacMiss
201100030 / 1000.30073.970%
255000030 / 2800.10789.823%

New Calculation Method

Total ECM effort:3.133 GHz-days
Estimated T-Level:1.500
DigitsB1CompleteFacMiss
20110000.96837.994%
25500000.08791.625%
302500000.00599.463%


ECM Summary

B1B2factorcurvesGHz-days
500005000000272.820
50000500000030.313


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-09T00:00:00ANONYMOUSv4_computers4856FB87953C921E0.220
2018-09-14T23:46:51kkmrkkblmbrbkold4856FB87953C921E0.220


PRP results:
dateuseridcompidcofactorsres64PRP
2019-02-15T11:02:34Luigi MorelliGoogleCloudTmp
2063217132098910260281
4419746BAB2845__no
2019-02-17T01:25:54arnaudstm-11-010
2063217132098910260281
4419746BAB28457Bno


P-1 factor-bounds graph:
B1 = 390000, B2 = 3900000 (P-1 stage 2)
B1 = 195000, B2 = 4875000 (P-1 stage 2)
B1 = 390000 (P-1 stage 1)
B1 = 195000 (P-1 stage 1)
B1 = 35000, B2 = 560000 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
B1 = 35000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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107
TF factor-bounds graph:
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2100
Last modified: 2019-02-17T01:25:54+00:00