is 2 2172539 - 1
has 654000 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-L1FD33D4B5691774Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26827.435667.6471%50000002000000001.48968.9466%28.925270.5415%2.8945%
PrimeNet2580.017762.0690%100001800000.00182.8565%0.019563.1525%1.0835%
GPU722620.282864.5161%110001600000.00181.5677%0.284665.0724%0.5563%
Difference+6+27.1528+3.1309%+4989000+199840000+1.4877+7.3789%+28.6405+5.4691%+5.4691%

Known prime factors (1 factor, 86.9 bits, 0.00399865% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21725391416238174785055729269898072786.87232594079433903274677
13 × 7061983 × 355032981463
2020-04-2170619833550329814639,144,8261,844.83,444.3

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-07T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.226%
2010-11-05T01:16:00Jocelyn LaroucheManual testing1500015000---0.001--0.198%
2010-11-07T17:05:00Jocelyn LaroucheManual testing3000030000---0.003--0.354%
2011-01-15T16:06:00Jocelyn LaroucheManual testing5000050000---0.005--0.514%
2011-01-15T20:31:00markrtiny900001620000---0.017--2.203%
2014-06-11T02:11:00Jocelyn LaroucheManual testing119543119543---0.011--0.889%
2014-10-05T22:22:00Jocelyn LaroucheManual testing149086149086---0.014--1.007%
2015-12-19T12:11:00HBendtzManual testing7000002100000012---0.172--5.204%
2019-11-07T16:53:04mikrMSI500000020000000012---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--
2009-01-05T01:27:00Sturle Sundebakeng.ifi260261--0.071--
2009-01-07T11:50:00Sturle Sundecelair.ifi261262--0.141--
2013-09-09T08:39:00ramgeisManual testing262263--0.452--
2015-03-25T10:09:00VictordeHollanderManual testing263264--0.904--
2015-03-25T10:09:00VictordeHollanderManual testing264265--1.720--
2016-01-02T13:50:56ramgeisManual testing265266--3.440--
2016-11-14T03:44:01Gordon SpenceManual testing266267--6.879--
2019-04-29T13:20:34TJAOIManual testing267268--13.76--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.154 GHz-days
Estimated T-Level:3.600
DigitsB1CurvesCompleteFacMiss
201100072 / 1000.72048.499%
255000072 / 2800.25777.290%

New Calculation Method

Total ECM effort:6.154 GHz-days
Estimated T-Level:3.600
DigitsB1CompleteFacMiss
20110002.3239.802%
25500000.21081.066%
302500000.01398.716%


ECM Summary

B1B2factorcurvesGHz-days
500005000000695.897
50000500000030.256


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-23T00:00:00ANONYMOUSv4_computers1FD33D4B5691774E0.143
2018-04-12T10:14:10kkmrkkblmbrbkold1FD33D4B5691774E0.143


PRP results:
dateuseridcompidcofactorsres64PRP
2020-04-21T04:46:01CrypticCluecruncher
141623817478505572926989807
BE6CA6DEF28F397Dno
2020-04-22T06:55:54atrenchThinkpad
141623817478505572926989807
BE6CA6DEF28F397Dno
2020-04-23T13:04:49arnaudstm-11-010
141623817478505572926989807
BE6CA6DEF28F397Dno


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 = 149086 (P-1 stage 1)
B1 = 119543 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 50000 (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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1010
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1012
TF factor-bounds graph:
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266
265
264
263
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261
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2100
Last modified: 2020-04-23T13:04:49+00:00