is 2 2277389 - 1
has 685563 decimal digits
takes 0.150 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L1E154A445AE747E7double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.047467.1642%391910141981950.10914.9993%13.156468.8057%1.6416%
PrimeNet2580.016962.0690%100001900000.00192.9227%0.018763.1776%1.1086%
GPU722620.269864.5161%120001900000.00211.7088%0.271865.1225%0.6064%
Difference+5+12.7776+2.6481%+379910+14008195+0.1070+3.2905%+12.8846+3.6833%+3.6833%

Known prime factors (1 factor, 74.0 bits, 0.00325013% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2277389191265693742176679300332374.0184199231965689144
23 × 32 × 43 × 937187 × 1447247
2016-07-2793718714472471,819.60.09200.1818

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-04-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.283%
2010-11-06T16:27:00Jocelyn LaroucheManual testing1500015000---0.001--0.241%
2010-11-14T13:24:00Jocelyn LaroucheManual testing3000030000---0.003--0.422%
2011-01-01T03:49:00markrtiny1050002152500---0.021--2.759%
2014-09-15T22:12:00ANONYMOUSManual testing133183133183---0.013--1.094%
2016-03-20T01:38:11Jocelyn LaroucheManual testing272160272160---0.026--1.572%
2016-04-02T11:41:51Jocelyn LaroucheManual testing326592326592---0.031--1.710%
2016-04-07T01:57:18Jocelyn LaroucheManual testing391910705438012---0.072--4.361%
2016-04-15T01:15:40Jocelyn LaroucheManual testing3919101419819512---0.109--4.999%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:10Mark RoseManual testing21260--0.067--
2009-01-15T02:55:00Sturle Sundegnom.ifi260261--0.067--
2012-05-06T18:06:00Sebastian HornbostelManual testing261262--0.135--
2013-01-23T08:24:00dbaughManual testing262263--0.431--
2015-03-10T10:45:00VictordeHollanderManual testing263264--0.862--
2015-03-10T10:45:00VictordeHollanderManual testing264265--1.641--
2015-11-01T21:51:00ramgeisManual testing265266--3.281--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.978 GHz-days
Estimated T-Level:1.150
DigitsB1CurvesCompleteFacMiss
201100023 / 1000.23079.361%
255000023 / 2800.08292.100%

New Calculation Method

Total ECM effort:1.978 GHz-days
Estimated T-Level:1.150
DigitsB1CompleteFacMiss
20110000.74247.619%
25500000.06793.514%
302500000.00499.588%


ECM Summary

B1B2factorcurvesGHz-days
500005000000211.806
50000500000020.172


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00ANONYMOUSv4_computers1E154A445AE747E70.150


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-11T04:30:47Oliver KruseGTX-1
19126569374217667930033
E964C0F1078837__no
2017-11-21T22:20:48ATHec2-1xf
19126569374217667930033
E964C0F1078837__no


P-1 factor-bounds graph:
B1 = 391910, B2 = 14198195 (P-1 stage 2)
B1 = 391910, B2 = 7054380 (P-1 stage 2)
B1 = 391910 (P-1 stage 1)
B1 = 326592 (P-1 stage 1)
B1 = 272160 (P-1 stage 1)
B1 = 105000, B2 = 2152500 (P-1 stage 2)
B1 = 133183 (P-1 stage 1)
B1 = 105000 (P-1 stage 1)
B1 = 30000 (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
102
103
104
105
106
107
108
TF factor-bounds graph:
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2017-11-21T22:20:48+00:00