is 2 2566411 - 1
has 772567 decimal digits
takes 0.178 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LE6E7B60081B51ACBdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26711.578067.1642%32000001120000000.91808.7492%12.496070.0371%2.8729%
PrimeNet2590.029962.7119%110002000000.00212.6884%0.032163.7143%1.0025%
GPU722630.621965.0794%120001800000.00211.4799%0.624065.5962%0.5168%
Difference+4+10.9561+2.0848%+3188000+111820000+0.9159+7.2693%+11.8720+4.4409%+4.4409%

Known prime factors (1 factor, 93.7 bits, 0.00365088% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2566411160504392789048707916850678332993.6973127020434159780095956
22 × 32 × 17 × 23 × 137 × 149 × 2314097 × 4702871
2016-05-21231409747028711.488e+90.24580.4737

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-23T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.293%
2003-11-08T00:00:00Team Prime Ribv4_computers15000198750---0.003--0.885%
2010-12-21T01:09:00Jocelyn LaroucheManual testing2000020000---0.002--0.316%
2011-01-03T22:20:00Jocelyn LaroucheManual testing3000030000---0.003--0.433%
2011-01-10T23:57:00Jocelyn LaroucheManual testing5000050000---0.005--0.621%
2011-04-14T16:37:00James HeinrichWHS1750004112500---0.039--3.540%
2016-05-21T19:57:30mikrMSI3200000112000000122993.6970.9180.3561.8368.749%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-26T00:00:00ANONYMOUSv4_computers21259--0.030--
2016-02-23T16:29:16Mark RoseManual testing259260--0.030--
2009-01-29T19:55:00Sturle Sundegilia.ifi260261--0.060--
2012-06-17T14:42:00Sebastian HornbostelManual testing261262--0.120--
2013-01-23T08:30:00dbaughManual testing262263--0.383--
2015-02-23T17:24:00VictordeHollanderManual testing263264--0.765--
2015-02-23T17:24:00VictordeHollanderManual testing264265--1.456--
2015-11-08T21:03:02ramgeisManual testing265266--2.912--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.661 GHz-days
Estimated T-Level:0.900
DigitsB1CurvesCompleteFacMiss
201100018 / 1000.18083.451%
255000018 / 2800.06493.763%

New Calculation Method

Total ECM effort:1.661 GHz-days
Estimated T-Level:0.900
DigitsB1CompleteFacMiss
20110000.58155.954%
25500000.05294.888%
302500000.00399.677%


ECM Summary

B1B2factorcurvesGHz-days
500005000000181.661


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-30T00:00:00ANONYMOUSv4_computersB5C85FD3C18FAC__0.178
1999-09-14T00:00:00ANONYMOUSv4_computersE6E7B60081B51ACB0.178


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-15T03:41:06Oliver KruseGTX-2
16050439278904870791685067833
00EEFCF137D3BD__no
2017-12-02T21:30:49treborLaptop
16050439278904870791685067833
00EEFCF137D3BD__no


P-1 factor-bounds graph:
B1 = 3200000, B2 = 112000000 (P-1 stage 2)
B1 = 3200000 (P-1 stage 1)
B1 = 175000, B2 = 4112500 (P-1 stage 2)
B1 = 175000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 198750 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
266
265
264
263
262
261
260
259
250
260
270
280
290
2100
Last modified: 2017-12-02T21:30:49+00:00