is 2 2186773 - 1
has 658285 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-LFAE4DA81D6456C45double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.588067.1642%25000001250000000.87468.5998%14.462769.9880%2.8238%
PrimeNet2580.017662.0690%100001800000.00182.8599%0.019463.1538%1.0848%
GPU722620.280964.5161%110001600000.00181.5697%0.282865.0731%0.5570%
Difference+5+13.3071+2.6481%+2489000+124840000+0.8728+7.0301%+14.1799+4.9149%+4.9149%

Known prime factors (1 factor, 74.9 bits, 0.00342663% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2186773360576679186788358184712374.9338244492665374695
3 × 5 × 2714737 × 202462649
2018-03-1727147372024626492,755.01.29641.9642

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%
2011-01-13T01:17:00markrtiny900001620000---0.017--2.489%
2014-06-26T21:22:00ANONYMOUSManual testing119351119351---0.011--1.022%
2014-10-10T20:28:00Jocelyn LaroucheManual testing148702148702---0.014--1.153%
2016-02-13T08:02:41Jocelyn LaroucheManual testing44268844268806---0.063--3.974%
2018-02-15T11:18:43mikrMSI250000012500000012---0.875--8.600%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-03-23T00:00:00ANONYMOUSv4_computers21257--0.009--
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:08Mark RoseManual testing258260--0.053--
2009-01-02T21:10:00Sturle Sundegnom.ifi260261--0.070--
2009-01-09T00:02:00Sturle Sundegooch.ifi261262--0.140--
2013-12-03T13:16:00LaurVManual testing262263--0.449--
2015-03-25T10:10:00VictordeHollanderManual testing263264--0.898--
2015-03-25T10:10:00VictordeHollanderManual testing264265--1.709--
2016-01-02T13:50:59ramgeisManual testing265266--3.417--
2016-11-24T19:46:06Gordon SpenceManual testing266267--6.834--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.908 GHz-days
Estimated T-Level:1.700
DigitsB1CurvesCompleteFacMiss
201100034 / 1000.34071.055%
255000034 / 2800.12188.546%

New Calculation Method

Total ECM effort:2.908 GHz-days
Estimated T-Level:1.700
DigitsB1CompleteFacMiss
20110001.09733.395%
25500000.09990.563%
302500000.00699.391%


ECM Summary

B1B2factorcurvesGHz-days
500005000000332.823
50000500000010.086


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-03-23T00:00:00ANONYMOUSv4_computersFAE4DA81D6456C450.144
1999-02-14T00:00:00ANONYMOUSv4_computersFAE4DA81D6456C450.144


PRP results:
dateuseridcompidcofactorsres64PRP
2018-03-19T11:00:15Oliver KruseGTX-3
36057667918678835818471
383BA44BD1E0D6__no
2018-03-20T02:00:45kkmrkkblmbrbkc5.large
36057667918678835818471
383BA44BD1E0D6__no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 442688, B2 = 4426880 (P-1 stage 2)
B1 = 442688 (P-1 stage 1)
B1 = 90000, B2 = 1620000 (P-1 stage 2)
B1 = 148702 (P-1 stage 1)
B1 = 119351 (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)
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
258
257
250
260
270
280
290
2100
Last modified: 2018-03-20T02:00:45+00:00