is 2 2119919 - 1
has 638160 decimal digits
takes 0.139 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LFF2F77B64CD787B3double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26714.016567.1642%500000150000000.12305.1590%14.139568.8582%1.6940%
PrimeNet2580.018162.0690%90001600000.00162.6825%0.019863.0865%1.0175%
GPU722620.289864.5161%100001400000.00161.4541%0.291465.0321%0.5160%
Difference+5+13.7267+2.6481%+490000+14860000+0.1214+3.7049%+13.8481+3.8261%+3.8261%

Known prime factors (1 factor, 68.3 bits, 0.00322399% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21199193751432015321072074312168.34688480550797485
3 × 5 × 7 × 11 × 17 × 4506266911
2015-08-0717450626691149.26723.40743.717

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-07-21T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.277%
2009-08-02T20:20:00harleeP4_260020000260000---0.003--1.022%
2010-12-30T22:21:00Jocelyn LaroucheManual testing3000030000---0.003--0.416%
2011-01-11T22:55:00Jocelyn LaroucheManual testing5000050000---0.005--0.597%
2011-01-25T16:44:00James Heinrichi7-9201400003010000---0.028--3.103%
2016-03-28T23:19:12alpertronManual testing5000001500000012---0.123--5.159%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-02-07T00:00:00ANONYMOUSv4_computers21258--0.018--
1999-07-12T00:00:00ANONYMOUSv4_computers21258--0.018--
2022-03-09T09:12:34LordJuliusManual testing21260--0.072--
2009-01-03T11:26:00Sturle Sundegiovanni.ifi260261--0.072--
2012-04-02T05:48:00Sebastian HornbostelManual testing261262--0.145--
2013-09-06T08:31:00ramgeisManual testing262263--0.463--
2015-03-15T12:13:00VictordeHollanderManual testing263264--0.926--
2015-03-15T12:13:00VictordeHollanderManual testing264265--1.763--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.363 GHz-days
Estimated T-Level:0.800
DigitsB1CurvesCompleteFacMiss
201100016 / 1000.16085.146%
255000016 / 2800.05794.436%

New Calculation Method

Total ECM effort:1.363 GHz-days
Estimated T-Level:0.800
DigitsB1CompleteFacMiss
20110000.51659.683%
25500000.04795.442%
302500000.00399.713%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.278
50000500000010.085


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00ANONYMOUSv4_computersFF2F77B64CD787B30.139
1999-07-12T00:00:00ANONYMOUSv4_computersFF2F77B64CD787B30.139


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-07T06:39:11Oliver KruseGTX-2
375143201532107207431
19D03605BE7013__no
2017-11-17T17:01:24kkmrkkblmbrbkc4.xlarge
375143201532107207431
19D03605BE7013__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 140000, B2 = 3010000 (P-1 stage 2)
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)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2022-03-09T09:12:34+00:00