is 2 2864077 - 1
has 862174 decimal digits
takes 0.221 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L43321A5078D372D5double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26820.811267.6471%50000002000000001.74989.1775%22.561070.6163%2.9692%
PrimeNet2590.026862.7119%130002400000.00282.9955%0.029763.8288%1.1170%
GPU722630.557365.0794%160002800000.00341.8688%0.560765.7320%0.6526%
Difference+5+20.2539+2.5677%+4984000+199720000+1.7464+7.3087%+22.0003+4.8843%+4.8843%

Known prime factors (1 factor, 69.5 bits, 0.00242654% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
28640778335855186458301695532169.498145524285598088
23 × 47 × 387032674463
2020-09-254738703267446361.2742,361.54,410.7

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-28T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.244%
2009-07-03T00:48:00Carsten Kossendeyleela15000157500---0.003--0.717%
2010-12-22T11:37:00Jocelyn LaroucheManual testing2000020000---0.002--0.272%
2011-01-03T14:36:00Jocelyn LaroucheManual testing3000030000---0.003--0.376%
2011-01-21T23:30:00Jocelyn LaroucheManual testing5000050000---0.006--0.544%
2011-02-09T11:32:00markrtiny1150002415000---0.027--2.654%
2016-08-25T04:44:03Jocelyn Larouchelow4M15659948300006---0.046--3.272%
2016-12-19T18:37:53Jocelyn Larouchelow 4M187918187918---0.021--1.195%
2017-01-10T10:25:12Jocelyn Larouchelow 4M225501225501---0.025--1.312%
2017-04-04T20:17:33Jocelyn Larouchelow 4M32472132472106---0.054--3.334%
2018-08-27T00:20:22Jocelyn Larouchelow 4M84800816960166---0.100--3.015%
2018-08-29T01:29:39Jocelyn Larouchelow 4M84800825440246---0.105--3.404%
2019-10-24T13:09:27masserManual testing28700002870000012---0.479--6.420%
2020-03-10T03:02:36masserManual testing500000020000000012---1.750--9.178%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-01-22T00:00:00ANONYMOUSv4_computers21259--0.027--
1998-02-08T00:00:00ANONYMOUSv4_computers21259--0.027--
1998-02-12T00:00:00ANONYMOUSv4_computers21259--0.027--
1998-03-03T00:00:00ANONYMOUSv4_computers21259--0.027--
2016-02-23T16:29:23Mark RoseManual testing259260--0.027--
2009-02-12T23:47:00Sturle Sundegigotte.ifi260261--0.054--
2012-02-02T16:04:00Grant McCrackenhome261262--0.107--
2013-01-07T13:46:00dbaughManual testing262263--0.343--
2015-04-21T09:21:00VictordeHollanderManual testing263264--0.685--
2015-04-21T09:21:00VictordeHollanderManual testing264265--1.305--
2016-02-18T12:13:56ramgeisManual testing265266--2.609--
2017-11-12T17:07:17Gordon SpenceManual testing266267--5.218--
2019-01-08T01:21:04chuenkitManual testing267268--10.44--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.346 GHz-days
Estimated T-Level:1.600
DigitsB1CurvesCompleteFacMiss
201100032 / 1000.32072.498%
255000032 / 2800.11489.182%

New Calculation Method

Total ECM effort:3.346 GHz-days
Estimated T-Level:1.600
DigitsB1CompleteFacMiss
20110001.03235.620%
25500000.09391.093%
302500000.00699.427%


ECM Summary

B1B2factorcurvesGHz-days
500005000000313.242
50000500000010.105


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-02-12T00:00:00ANONYMOUSv4_computers43321A5078D372D50.221
1998-03-03T00:00:00ANONYMOUSv4_computers43321A5078D372D50.221
1999-09-07T00:00:00ANONYMOUSv4_computers43321A5078D372D50.221
2018-09-19T04:55:30kkmrkkblmbrbkold43321A5078D372D50.221


PRP results:
dateuseridcompidcofactorsres64PRP
2020-09-26T04:33:29ANONYMOUSdory
833585518645830169553
D17BA4911A96C239no
2020-09-26T17:00:09Yuji HASEGAWAvj20a
833585518645830169553
D17BA4911A96C239no


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 = 848008, B2 = 2544024 (P-1 stage 2)
B1 = 848008, B2 = 1696016 (P-1 stage 2)
B1 = 848008 (P-1 stage 1)
B1 = 324721, B2 = 3247210 (P-1 stage 2)
B1 = 156599, B2 = 4830000 (P-1 stage 2)
B1 = 324721 (P-1 stage 1)
B1 = 115000, B2 = 2415000 (P-1 stage 2)
B1 = 225501 (P-1 stage 1)
B1 = 187918 (P-1 stage 1)
B1 = 156599 (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: 2020-09-26T17:00:09+00:00