is 2 2185649 - 1
has 657946 decimal digits
takes 0.144 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L2063195C97B1DD93double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.595067.1642%500000150000000.12305.1780%13.718068.8644%1.7002%
PrimeNet2580.017662.0690%100001800000.00182.8596%0.019463.1537%1.0847%
GPU722620.281164.5161%110001600000.00181.5696%0.282965.0731%0.5569%
Difference+5+13.3139+2.6481%+489000+14840000+0.1212+3.6084%+13.4351+3.7913%+3.7913%

Known prime factors (1 factor, 66.5 bits, 0.00304305% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21856491051046366751175194412166.51024044262522280
23 × 5 × 7 × 11 × 13 × 23 × 26108959
2015-12-0923261089599.03630.13560.2533

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.280%
2010-11-06T00:22:00ANONYMOUSManual testing1500015000---0.001--0.238%
2010-11-08T22:12:00Jocelyn LaroucheManual testing3000030000---0.003--0.418%
2011-01-13T07:23:00markrtiny900001620000---0.017--2.489%
2014-06-26T21:21:00ANONYMOUSManual testing119366119366---0.011--1.022%
2014-10-10T20:28:00Jocelyn LaroucheManual testing148732148732---0.014--1.153%
2016-03-27T12:21:39alpertronManual testing5000001500000012---0.123--5.178%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-01-02T07:58:00Sturle Sundegnom.ifi260261--0.070--
2009-01-06T19:44:00Sturle Sundegooch.ifi261262--0.141--
2013-01-23T08:20:00dbaughManual testing262263--0.449--
2015-03-25T10:10:00VictordeHollanderManual testing263264--0.898--
2015-03-25T10:10:00VictordeHollanderManual testing264265--1.710--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.540 GHz-days
Estimated T-Level:0.900
DigitsB1CurvesCompleteFacMiss
201100018 / 1000.18083.451%
255000018 / 2800.06493.763%

New Calculation Method

Total ECM effort:1.540 GHz-days
Estimated T-Level:0.900
DigitsB1CompleteFacMiss
20110000.58155.954%
25500000.05294.888%
302500000.00399.677%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.283
50000500000030.257


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-14T00:00:00ANONYMOUSv4_computers2063195C97B1DD930.144


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T15:30:49alpertronManual testing
105104636675117519441
0EFC3495E8A7C9__no
2017-10-24T20:32:47Oliver KruseGTX-1
105104636675117519441
0EFC3495E8A7C9__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 90000, B2 = 1620000 (P-1 stage 2)
B1 = 148732 (P-1 stage 1)
B1 = 119366 (P-1 stage 1)
B1 = 90000 (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)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
TF factor-bounds graph:
267
265
264
263
262
261
250
260
270
280
290
2100
Last modified: 2017-10-24T20:32:47+00:00