is 2 2051689 - 1
has 617620 decimal digits
takes 0.135 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L4AE7D2B3C6448A7Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26829.051669.1176%40000002000000001.39948.7615%30.451071.8234%2.7058%
PrimeNet2580.018763.7931%90001600000.00162.6660%0.020464.7584%0.9653%
GPU722620.299466.1290%90001200000.00141.3305%0.300966.5797%0.4507%
Difference+6+28.7522+2.9886%+3991000+199880000+1.3980+7.4310%+30.1502+5.2437%+5.2437%

Known prime factors (1 factor, 85.3 bits, 0.00415749% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2051689475838166157653800891457612685.29911596254748103971920
24 × 3 × 5 × 13 × 316903 × 11728346897
2020-01-20316903117283468977,489,52860.949113.78

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-24T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.222%
2006-01-15T00:00:00Jocelyn Larouchev4_computers40004000---0.000--0.047%
2009-05-16T18:23:00Rob_Deetwopc20000280000---0.003--0.893%
2010-12-26T02:29:00Jocelyn LaroucheManual testing3000030000---0.003--0.350%
2011-01-06T01:05:00Jocelyn LaroucheManual testing5000050000---0.005--0.508%
2011-01-27T00:09:00James Heinrichi7-9201350002868750---0.027--2.708%
2014-10-22T23:53:00Jocelyn LaroucheManual testing166284166284---0.016--1.058%
2015-10-06T15:12:55Bruno Victal5820K-linux5000001500000012---0.123--4.664%
2019-07-02T14:00:06BigBrotherWinston10000002000000012---0.194--5.319%
2019-08-17T18:22:52mikrMSI400000020000000012---1.399--8.761%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-10T00:00:00ANONYMOUSv4_computers21258--0.019--
2016-02-23T16:29:04Mark RoseManual testing258260--0.056--
2009-01-03T05:19:00Sturle Sundegopher.ifi260261--0.075--
2012-03-09T10:47:00Sebastian HornbostelManual testing261262--0.150--
2013-09-01T20:20:00ramgeisManual testing262263--0.478--
2015-04-13T20:09:00VictordeHollanderManual testing263264--0.957--
2015-04-13T20:09:00VictordeHollanderManual testing264265--1.821--
2015-11-03T10:09:59ramgeisManual testing265266--3.642--
2016-08-18T20:55:11Gordon SpenceManual testing266267--7.284--
2019-03-23T09:42:42chuenkitManual testing267268--14.57--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.836 GHz-days
Estimated T-Level:2.850
DigitsB1CurvesCompleteFacMiss
201100057 / 1000.57056.391%
255000057 / 2800.20481.551%

New Calculation Method

Total ECM effort:4.836 GHz-days
Estimated T-Level:2.850
DigitsB1CompleteFacMiss
20110001.83915.902%
25500000.16684.689%
302500000.01098.982%


ECM Summary

B1B2factorcurvesGHz-days
500005000000544.582
50000500000030.255


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-02T00:00:00Phantomasv4_computers4AE7D2B3C6448A7E0.135
2016-07-15T23:29:26Mark Roseleonardo4AE7D2B3C6448A7E0.135


PRP results:
dateuseridcompidcofactorsres64PRP
2020-01-21T13:34:52Niels_Mache_NextcloudSuperDry-X
47583816615765380089145761
F2ACE9BF15699E90no
2020-01-22T10:25:07marssystemssystem11
47583816615765380089145761
F2ACE9BF15699E90no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 200000000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 135000, B2 = 2868750 (P-1 stage 2)
B1 = 166284 (P-1 stage 1)
B1 = 135000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 280000 (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 = 4000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-01-22T10:25:07+00:00