is 2 2049409 - 1
has 616934 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-L213624E55998E58Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26714.498868.6567%500000150000000.12305.1381%14.621870.2672%1.6105%
PrimeNet2580.018763.7931%90001600000.00162.6655%0.020464.7582%0.9651%
GPU722620.299866.1290%90001200000.00141.3302%0.301266.5796%0.4506%
Difference+5+14.1990+2.5277%+491000+14880000+0.1216+3.8079%+14.3206+3.6876%+3.6876%

Known prime factors (1 factor, 81.6 bits, 0.00398080% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
204940936216260079078687891721672581.583883578145677087587
37655231 × 23464950877
2018-09-273765523123464950877356,221125.28227.64

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-04-28T00:00:00Jocelyn Larouchev4_computers10001000---9.53375e-5--0.007%
2002-05-05T00:00:00Jocelyn Larouchev4_computers20002000---0.000--0.022%
2003-01-16T00:00:00ANONYMOUSv4_computers25000425000---0.004--1.261%
2010-12-28T23:08:00Jocelyn LaroucheManual testing3000030000---0.003--0.413%
2011-01-04T22:09:00Jocelyn LaroucheManual testing5000050000---0.005--0.593%
2012-01-06T13:07:00Squeeky_SquirrelP4_26001350002868750---0.027--3.035%
2014-10-22T23:53:00Jocelyn LaroucheManual testing166318166318---0.016--1.209%
2015-10-06T14:16:06Bruno Victal4790K-windows5000001500000012---0.123--5.138%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-10T00:00:00Ethan O'Connorv4_computers21258--0.019--
2016-02-23T16:29:04Mark RoseManual testing258260--0.056--
2009-01-03T06:42:00Sturle Sundegoomba.ifi260261--0.075--
2012-02-29T08:47:00Sebastian HornbostelManual testing261262--0.150--
2013-09-01T20:20:00ramgeisManual testing262263--0.479--
2015-04-13T20:09:00VictordeHollanderManual testing263264--0.958--
2015-04-13T20:09:00VictordeHollanderManual testing264265--1.823--
2015-11-03T10:10:04ramgeisManual testing265266--3.646--
2016-08-10T20:04:42Gordon SpenceManual testing266267--7.293--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.393 GHz-days
Estimated T-Level:2.000
DigitsB1CurvesCompleteFacMiss
201100040 / 1000.40066.897%
255000040 / 2800.14386.666%

New Calculation Method

Total ECM effort:3.393 GHz-days
Estimated T-Level:2.000
DigitsB1CompleteFacMiss
20110001.29027.518%
25500000.11788.993%
302500000.00799.284%


ECM Summary

B1B2factorcurvesGHz-days
500005000000393.309
50000500000010.085


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-17T00:00:00Ethan O'Connorv4_computers213624E55998E58A0.135
2016-07-15T22:40:43Mark Roseraphael213624E55998E58A0.135


PRP results:
dateuseridcompidcofactorsres64PRP
2018-10-01T15:29:19Oliver KruseGTX-3
3621626007907868789172167
11981C7E88C31D__no
2018-10-01T15:54:24ATHec2-PRPCFDC
3621626007907868789172167
11981C7E88C31D__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 135000, B2 = 2868750 (P-1 stage 2)
B1 = 166318 (P-1 stage 1)
B1 = 135000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 25000, B2 = 425000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 25000 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
B1 = 1000 (P-1 stage 1)
102
103
104
105
106
107
108
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
267
266
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2018-10-01T15:54:24+00:00