is 2 2093101 - 1
has 630087 decimal digits
takes 0.138 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LDE220BD1C80F956Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26714.196168.6567%25000001250000000.87468.5631%15.070871.3407%2.6840%
PrimeNet2580.018363.7931%90001600000.00162.6761%0.020064.7620%0.9689%
GPU722620.293566.1290%90001400000.00151.4007%0.295166.6035%0.4744%
Difference+5+13.9026+2.5277%+2491000+124860000+0.8731+7.1624%+14.7757+4.7372%+4.7372%

Known prime factors (1 factor, 80.5 bits, 0.00384627% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
209310117172868983103816129450012580.506410225521441722500
22 × 54 × 73 × 2247811076393
2017-08-106252247811076393204,09511,67621,807

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.276%
2009-07-27T03:03:00harleeP4_260020000260000---0.003--1.020%
2010-12-28T23:08:00Jocelyn LaroucheManual testing3000030000---0.003--0.414%
2011-01-09T14:30:00Jocelyn LaroucheManual testing5000050000---0.005--0.595%
2011-01-19T10:18:00James HeinrichQ66001400003150000---0.029--3.129%
2016-07-27T10:56:33Jocelyn LaroucheManual testing186340630000012---0.050--3.799%
2016-11-05T16:28:43Jocelyn Larouchelow 4M223608223608---0.021--1.410%
2016-11-10T03:36:29Jocelyn Larouchelow 4M268329268329---0.026--1.540%
2017-05-14T19:24:02mikrMSI250000012500000012---0.875--8.563%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-17T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:05Mark RoseManual testing258260--0.055--
2009-01-03T12:15:00Sturle Sundekraus.ifi260261--0.073--
2012-03-23T17:48:00Sebastian HornbostelManual testing261262--0.147--
2013-09-03T09:36:00ramgeisManual testing262263--0.469--
2015-04-10T15:56:00VictordeHollanderManual testing263264--0.938--
2015-04-10T15:56:00VictordeHollanderManual testing264265--1.785--
2015-11-06T09:16:14ramgeisManual testing265266--3.570--
2016-09-22T02:15:57Gordon SpenceManual testing266267--7.140--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.637 GHz-days
Estimated T-Level:1.550
DigitsB1CurvesCompleteFacMiss
201100031 / 1000.31073.230%
255000031 / 2800.11189.502%

New Calculation Method

Total ECM effort:2.637 GHz-days
Estimated T-Level:1.550
DigitsB1CompleteFacMiss
20110001.00036.788%
25500000.09091.358%
302500000.00699.445%


ECM Summary

B1B2factorcurvesGHz-days
500005000000302.552
50000500000010.085


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-16T00:00:00ANONYMOUSv4_computersDE220BD1C80F956F0.138
2017-06-12T12:13:08kkmrkkblmbrbkc4.largeDE220BD1C80F956F0.138


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T13:10:00alpertronManual testing
1717286898310381612945001
8E44FCC8C0F929__no
2017-10-21T10:11:36Oliver KruseThreadripper
1717286898310381612945001
8E44FCC8C0F929__no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 186340, B2 = 6300000 (P-1 stage 2)
B1 = 140000, B2 = 3150000 (P-1 stage 2)
B1 = 268329 (P-1 stage 1)
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: 2017-10-21T10:11:36+00:00