is 2 2722879 - 1
has 819669 decimal digits
takes 0.210 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LC658D985E699EBD0double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26821.890467.6471%60000060000000.10014.0829%21.990568.9680%1.3209%
PrimeNet2590.028262.7119%120002200000.00262.8474%0.030863.7736%1.0617%
GPU722630.586265.0794%140002200000.00281.6640%0.589065.6604%0.5811%
Difference+5+21.3042+2.5677%+586000+5780000+0.0973+2.4189%+21.4016+3.3076%+3.3076%

Known prime factors (1 factor, 77.7 bits, 0.00285272% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27228792414400847868588332489032477.67644335441418230269
32 × 29 × 169867591640729
2020-10-222916986759164072920,6061,036,4731,935,843

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.241%
2003-11-28T00:00:00Team Prime Ribv4_computers15000217500---0.003--0.788%
2010-12-19T21:42:00Jocelyn LaroucheManual testing2000020000---0.002--0.269%
2010-12-28T02:15:00Jocelyn LaroucheManual testing3000030000---0.003--0.372%
2011-01-18T22:18:00Jocelyn LaroucheManual testing5000050000---0.006--0.538%
2011-02-23T15:18:00James Heinrichi7-9203000008000000---0.081--3.994%
2018-08-20T10:32:22Jocelyn Larouchelow 4M60000060000006---0.100--4.083%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-02-08T00:00:00ANONYMOUSv4_computers21259--0.028--
2016-02-23T16:29:20Mark RoseManual testing259260--0.028--
2009-01-31T19:35:00Sturle Sundegouache.ifi260261--0.056--
2012-04-16T01:26:00markroldgamer261262--0.113--
2013-01-14T12:26:00dbaughManual testing262263--0.361--
2015-04-13T20:09:00VictordeHollanderManual testing263264--0.721--
2015-04-13T20:09:00VictordeHollanderManual testing264265--1.372--
2016-01-31T12:58:56ramgeisManual testing265266--2.744--
2017-10-05T11:09:27Gordon SpenceManual testing266267--5.489--
2019-02-12T01:22:20chuenkitManual testing267268--10.98--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.808 GHz-days
Estimated T-Level:2.800
DigitsB1CurvesCompleteFacMiss
201100056 / 1000.56056.960%
255000056 / 2800.20081.844%

New Calculation Method

Total ECM effort:5.808 GHz-days
Estimated T-Level:2.800
DigitsB1CompleteFacMiss
20110001.80616.424%
25500000.16384.937%
302500000.01099.000%


ECM Summary

B1B2factorcurvesGHz-days
500005000000535.497
50000500000030.311


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-02-08T00:00:00ANONYMOUSv4_computersC658D985E699EBD00.210
1999-07-12T00:00:00ANONYMOUSv4_computersC658D985E699EBD00.210
2018-08-06T13:51:49kkmrkkblmbrbkoldC658D985E699EBD00.210


PRP results:
dateuseridcompidcofactorsres64PRP
2020-10-22T14:08:03mrhlanai
241440084786858833248903
08A020F664DEE268no
2020-10-22T16:59:33oodairacom2
241440084786858833248903
08A020F664DEE268no


P-1 factor-bounds graph:
B1 = 600000, B2 = 6000000 (P-1 stage 2)
B1 = 300000, B2 = 8000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 217500 (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: 2020-10-22T16:59:33+00:00