is 2 2775043 - 1
has 835372 decimal digits
takes 0.214 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L7C3BC73B1E0CC369double-checked
PRP0E2FE5A0CB32DF0Averified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26821.478967.6471%2700000840000000.79847.6836%22.277370.1329%2.4859%
PrimeNet2590.027762.7119%120002200000.00262.8572%0.030363.7772%1.0654%
GPU722630.575165.0794%150002400000.00311.7469%0.578265.6894%0.6100%
Difference+5+20.9038+2.5677%+2685000+83760000+0.7954+5.9368%+21.6992+4.4436%+4.4436%

Known prime factors (1 factor, 70.1 bits, 0.00252541% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
277504312488947408786246877212270.081225022592601020
22 × 5 × 11251129630051
2020-10-21511251129630051144.6768,650128,220

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.242%
2010-11-10T22:06:00Jocelyn LaroucheManual testing1500015000---0.002--0.210%
2010-11-28T19:57:00markrtiny1100002392500---0.026--2.614%
2016-08-27T21:43:39Jocelyn Larouchelow4M14200047850006---0.044--3.195%
2016-10-27T01:50:45Jocelyn Larouchelow 4M170400170400---0.019--1.130%
2016-12-24T02:28:28Jocelyn Larouchelow 4M204480204480---0.023--1.242%
2017-02-25T21:07:58Jocelyn Larouchelow 4M29445129445106---0.049--3.204%
2017-03-09T21:09:31mikrMSI27000008400000012---0.798--7.684%
2017-03-20T01:07:00Jocelyn Larouchelow 4M35334135334106---0.059--3.421%
2017-03-23T15:51:54Jocelyn Larouchelow 4M42400942400906---0.071--3.646%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:21Mark RoseManual testing21260--0.055--
2009-01-29T02:07:00Sturle Sundebruckner.ifi260261--0.055--
2012-03-24T13:22:00Grant McCrackenthumper261262--0.111--
2013-01-14T12:31:00dbaughManual testing262263--0.354--
2015-04-21T09:20:00VictordeHollanderManual testing263264--0.707--
2015-04-21T09:20:00VictordeHollanderManual testing264265--1.346--
2015-12-07T04:59:49omylistManual testing265266--2.693--
2017-10-12T12:41:22Gordon SpenceManual testing266267--5.386--
2019-02-24T11:40:38chuenkitManual testing267268--10.77--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.202 GHz-days
Estimated T-Level:2.500
DigitsB1CurvesCompleteFacMiss
201100050 / 1000.50060.501%
255000050 / 2800.17983.620%

New Calculation Method

Total ECM effort:5.202 GHz-days
Estimated T-Level:2.500
DigitsB1CompleteFacMiss
20110001.61319.931%
25500000.14686.435%
302500000.00999.106%


ECM Summary

B1B2factorcurvesGHz-days
500005000000474.890
50000500000030.312


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-12-04T00:00:00ANONYMOUSv4_computers7C3BC73B1E0CC3690.214
1999-07-04T00:00:00ANONYMOUSv4_computers7C3BC73B1E0CC3690.214
2018-08-23T20:23:10kkmrkkblmbrbkold7C3BC73B1E0CC3690.214


PRP results:
dateuseridcompidcofactorsres64PRP
2020-10-21T19:23:01mrhi
1248894740878624687721
0E2FE5A0CB32DF0Ano


P-1 factor-bounds graph:
B1 = 2700000, B2 = 84000000 (P-1 stage 2)
B1 = 2700000 (P-1 stage 1)
B1 = 424009, B2 = 4240090 (P-1 stage 2)
B1 = 353341, B2 = 3533410 (P-1 stage 2)
B1 = 294451, B2 = 2944510 (P-1 stage 2)
B1 = 424009 (P-1 stage 1)
B1 = 142000, B2 = 4785000 (P-1 stage 2)
B1 = 353341 (P-1 stage 1)
B1 = 294451 (P-1 stage 1)
B1 = 110000, B2 = 2392500 (P-1 stage 2)
B1 = 204480 (P-1 stage 1)
B1 = 170400 (P-1 stage 1)
B1 = 142000 (P-1 stage 1)
B1 = 110000 (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: 2020-10-21T19:23:01+00:00