is 2 2174269 - 1
has 654521 decimal digits
takes 0.143 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L5C7B305C9465C55Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26827.413867.6471%50000002000000001.48968.9472%28.903370.5418%2.8947%
PrimeNet2580.017762.0690%100001800000.00182.8569%0.019563.1526%1.0836%
GPU722620.282664.5161%110001600000.00181.5679%0.284465.0725%0.5564%
Difference+6+27.1312+3.1309%+4989000+199840000+1.4877+7.3793%+28.6189+5.4693%+5.4693%

Known prime factors (1 factor, 90.8 bits, 0.00417451% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
217426921038190931391333090311985772890.765483799174145226121752
23 × 34 × 293 × 2764123 × 921860341
2020-06-112764123921860341141,083,6395.03758.9433

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-07T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.226%
2010-11-05T01:17:00Jocelyn LaroucheManual testing1500015000---0.001--0.198%
2010-11-07T21:16:00Jocelyn LaroucheManual testing3000030000---0.003--0.354%
2011-01-15T13:00:00markrtiny900001620000---0.017--2.203%
2014-06-13T02:40:00Jocelyn LaroucheManual testing119520119520---0.011--0.889%
2014-10-05T22:22:00Jocelyn LaroucheManual testing149040149040---0.014--1.007%
2015-12-20T13:06:10HBendtzManual testing7000002100000012---0.172--5.204%
2019-11-13T19:58:09mikrMSI500000020000000012---1.490--8.947%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:07Mark RoseManual testing258260--0.053--
2009-01-04T18:57:00Sturle Sundegorro.ifi260261--0.071--
2009-01-07T11:25:00Sturle Sundewright.ifi261262--0.141--
2013-01-23T08:20:00dbaughManual testing262263--0.451--
2015-03-25T10:09:00VictordeHollanderManual testing263264--0.903--
2015-03-25T10:09:00VictordeHollanderManual testing264265--1.718--
2016-01-02T13:50:57ramgeisManual testing265266--3.437--
2016-11-17T17:00:10Gordon SpenceManual testing266267--6.874--
2019-04-29T13:20:33TJAOIManual testing267268--13.75--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.180 GHz-days
Estimated T-Level:4.200
DigitsB1CurvesCompleteFacMiss
201100084 / 1000.84042.989%
255000084 / 2800.30074.042%

New Calculation Method

Total ECM effort:7.180 GHz-days
Estimated T-Level:4.200
DigitsB1CompleteFacMiss
20110002.7106.656%
25500000.24578.278%
302500000.01598.503%


ECM Summary

B1B2factorcurvesGHz-days
500005000000816.924
50000500000030.256


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-21T00:00:00ANONYMOUSv4_computers5C7B305C9465C55E0.143
2018-04-12T15:39:35kkmrkkblmbrbkold5C7B305C9465C55E0.143


PRP results:
dateuseridcompidcofactorsres64PRP
2020-06-11T17:18:40mnd975211backdoor
2103819093139133309031198577
DF993FCE5116D021no
2020-06-12T13:14:00Klaus Nordmannno1
2103819093139133309031198577
DF993FCE5116D021no


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 700000, B2 = 21000000 (P-1 stage 2)
B1 = 700000 (P-1 stage 1)
B1 = 90000, B2 = 1620000 (P-1 stage 2)
B1 = 149040 (P-1 stage 1)
B1 = 119520 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 30000 (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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109
TF factor-bounds graph:
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2100
Last modified: 2020-06-12T13:14:00+00:00