is 2 2217503 - 1
has 667535 decimal digits
takes 0.146 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LAEA9304CAD205285double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26826.879367.6471%2000000650000000.51797.0326%27.397269.9223%2.2752%
PrimeNet2580.017362.0690%100001800000.00182.8673%0.019263.1565%1.0876%
GPU722620.277164.5161%110001800000.00191.6295%0.279065.0943%0.5782%
Difference+6+26.6022+3.1309%+1989000+64820000+0.5160+5.4030%+27.1182+4.8280%+4.8280%

Known prime factors (1 factor, 75.9 bits, 0.00342161% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2217503692565068974299922974472375.87415615876708493741
17 × 918580982852573
2020-07-04179185809828525734,706.34,771,3398,911,533

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.227%
2010-10-11T07:34:00Oscar Östlin7501175011---0.007--0.674%
2010-12-19T18:34:00Oscar Östlin850001593750---0.016--2.175%
2014-05-26T23:57:00Jocelyn LaroucheManual testing113944113944---0.011--0.868%
2014-09-29T22:04:00Jocelyn LaroucheManual testing142888142888---0.014--0.987%
2015-04-29T06:51:00Squeeky_SquirrelP4_26001600004600000---0.038--3.135%
2015-11-16T18:43:56Alexander DubrovinManual testing1000000700000012---0.127--4.314%
2015-11-17T14:03:54Alexander DubrovinManual testing10000002000000012---0.194--5.366%
2015-12-18T18:25:55Alexander DubrovinManual testing20000006500000012---0.518--7.033%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-02-07T00:00:00MadPoov4_computers21258--0.017--
2016-02-23T16:29:08Mark RoseManual testing258260--0.052--
2009-01-11T08:21:00Sturle Sundefigaro.ifi260261--0.069--
2012-04-18T10:47:00Sebastian HornbostelManual testing261262--0.139--
2013-01-23T08:23:00dbaughManual testing262263--0.443--
2015-03-06T11:15:00VictordeHollanderManual testing263264--0.885--
2015-03-06T11:15:00VictordeHollanderManual testing264265--1.685--
2015-10-23T09:34:53ramgeisManual testing265266--3.370--
2016-12-24T00:00:56Gordon SpenceManual testing266267--6.740--
2019-04-22T13:11:40TJAOIManual testing267268--13.48--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.027 GHz-days
Estimated T-Level:4.100
DigitsB1CurvesCompleteFacMiss
201100082 / 1000.82043.862%
255000082 / 2800.29374.574%

New Calculation Method

Total ECM effort:7.027 GHz-days
Estimated T-Level:4.100
DigitsB1CompleteFacMiss
20110002.6457.099%
25500000.23978.736%
302500000.01598.539%


ECM Summary

B1B2factorcurvesGHz-days
500005000000816.942
50000500000010.086


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-01T00:00:00MadPoov4_computersAEA9304CAD2052850.146
2018-04-18T11:45:47kkmrkkblmbrbkoldAEA9304CAD2052850.146


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-04T12:33:34CrypticCluecruncher
69256506897429992297447
353ACCB2B3202E56no
2020-07-04T12:52:14ATHec2-PRPCFDC
69256506897429992297447
353ACCB2B3202E56no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 65000000 (P-1 stage 2)
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1000000, B2 = 7000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 160000, B2 = 4600000 (P-1 stage 2)
B1 = 85000, B2 = 1593750 (P-1 stage 2)
B1 = 160000 (P-1 stage 1)
B1 = 142888 (P-1 stage 1)
B1 = 113944 (P-1 stage 1)
B1 = 85000 (P-1 stage 1)
B1 = 75011 (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: 2020-07-04T12:52:14+00:00