is 2 2110753 - 1
has 635400 decimal digits
takes 0.139 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA87C8C245E60F3EDdouble-checked
PRPF1643A0C232C2CF6verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26828.238767.6471%25000001250000000.87467.9024%29.113370.2037%2.5566%
PrimeNet2580.018262.0690%90001600000.00162.6803%0.019863.0856%1.0167%
GPU722620.291164.5161%100001400000.00161.4528%0.292765.0316%0.5155%
Difference+6+27.9476+3.1309%+2490000+124860000+0.8730+6.4495%+28.8206+5.1721%+5.1721%

Known prime factors (1 factor, 71.2 bits, 0.00337549% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
211075328044577568563605356872271.248664326369986531
7 × 199 × 3469 × 137475743
2020-10-093469137475743265.290.71441.3337

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.224%
2009-08-02T07:18:00harleeP4_260020000260000---0.003--0.878%
2010-12-30T22:20:00Jocelyn LaroucheManual testing3000030000---0.003--0.352%
2011-01-10T23:57:00Jocelyn LaroucheManual testing5000050000---0.005--0.511%
2011-01-25T21:32:00James HeinrichQ66001400003010000---0.028--2.768%
2016-07-19T03:39:19Jocelyn LaroucheManual testing186340602000012---0.048--3.383%
2016-11-08T17:01:23Jocelyn Larouchelow 4M223608223608---0.021--1.241%
2017-05-31T03:38:56Jocelyn Larouchelow 4M37268037268006---0.053--3.362%
2017-06-10T03:57:34Jocelyn Larouchelow 4M44721644721606---0.064--3.584%
2017-07-22T11:14:16mikrMSI250000012500000012---0.875--7.902%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-17T00:00:00ANONYMOUSv4_computers21258--0.018--
1999-09-30T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:05Mark RoseManual testing258260--0.055--
2009-01-03T18:38:00Sturle Sundeghia.ifi260261--0.073--
2012-03-30T16:48:00Sebastian HornbostelManual testing261262--0.146--
2013-09-05T08:28:00ramgeisManual testing262263--0.465--
2015-03-15T12:13:00VictordeHollanderManual testing263264--0.930--
2015-03-15T12:13:00VictordeHollanderManual testing264265--1.770--
2015-12-27T16:49:18ramgeisManual testing265266--3.540--
2016-10-05T13:07:55Gordon SpenceManual testing266267--7.081--
2019-05-13T13:38:21TJAOIManual testing267268--14.16--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.889 GHz-days
Estimated T-Level:22.250
DigitsB1CurvesCompleteFacMiss
2011000126 / 1001.26028.186%
2550000126 / 2800.45063.711%

New Calculation Method

Total ECM effort:10.889 GHz-days
Estimated T-Level:22.250
DigitsB1CompleteFacMiss
20110004.0881.678%
25500000.37169.034%
302500000.02397.736%
3510000000.00199.895%


ECM Summary

B1B2factorcurvesGHz-days
50000500000012410.56
50000500000010.085
766202417689010.245


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-29T00:00:00ANONYMOUSv4_computersA87C8C245E60F3ED0.139
1999-09-30T00:00:00ANONYMOUSv4_computersA87C8C245E60F3ED0.139
2018-04-03T00:46:26kkmrkkblmbrbkoldA87C8C245E60F3ED0.139


PRP results:
dateuseridcompidcofactorsres64PRP
2020-10-09T10:31:48M Millercruncher
2804457756856360535687
F1643A0C232C2CF6no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 447216, B2 = 4472160 (P-1 stage 2)
B1 = 372680, B2 = 3726800 (P-1 stage 2)
B1 = 186340, B2 = 6020000 (P-1 stage 2)
B1 = 447216 (P-1 stage 1)
B1 = 372680 (P-1 stage 1)
B1 = 140000, B2 = 3010000 (P-1 stage 2)
B1 = 223608 (P-1 stage 1)
B1 = 186340 (P-1 stage 1)
B1 = 140000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 260000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (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: 2020-11-09T21:38:10+00:00