is 2 2191811 - 1
has 659801 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-LF89F515710145EABdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.556867.1642%500000150000000.12305.1797%13.679868.8650%1.7008%
PrimeNet2580.017562.0690%100001800000.00182.8611%0.019463.1542%1.0853%
GPU722620.280364.5161%110001600000.00181.5704%0.282165.0734%0.5573%
Difference+5+13.2765+2.6481%+489000+14840000+0.1212+3.6093%+13.3977+3.7916%+3.7916%

Known prime factors (1 factor, 77.4 bits, 0.00352924% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21918111931758490442809032028232477.35444067633806993601
3 × 72 × 197 × 1521724983839
2015-12-15197152172498383922,9157,904.214,763

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.280%
2010-11-04T10:39:00Jocelyn LaroucheManual testing1500015000---0.001--0.238%
2010-11-09T10:50:00Jocelyn LaroucheManual testing3000030000---0.003--0.419%
2011-01-11T22:23:00markrtiny900001620000---0.017--2.490%
2014-06-26T21:22:00ANONYMOUSManual testing119284119284---0.011--1.023%
2014-10-12T23:56:00Jocelyn LaroucheManual testing148568148568---0.014--1.153%
2016-04-02T16:17:37alpertronManual testing5000001500000012---0.123--5.180%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1997-11-11T00:00:00ANONYMOUSv4_computers21258--0.018--
2022-03-09T16:35:58LordJuliusManual testing21260--0.070--
2009-01-03T03:17:00Sturle Sundegigi.ifi260261--0.070--
2009-01-09T16:10:00Sturle Sundegideon.ifi261262--0.140--
2013-01-23T08:20:00dbaughManual testing262263--0.448--
2015-03-28T18:03:00VictordeHollanderManual testing263264--0.896--
2015-03-28T18:03:00VictordeHollanderManual testing264265--1.705--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.369 GHz-days
Estimated T-Level:0.800
DigitsB1CurvesCompleteFacMiss
201100016 / 1000.16085.146%
255000016 / 2800.05794.436%

New Calculation Method

Total ECM effort:1.369 GHz-days
Estimated T-Level:0.800
DigitsB1CompleteFacMiss
20110000.51659.683%
25500000.04795.442%
302500000.00399.713%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.284
50000500000010.086


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-11-21T00:00:00DLv4_computersF89F515710145EAB0.144
1998-03-23T00:00:00ANONYMOUSv4_computersF89F515710145EAB0.144
1999-02-14T00:00:00ANONYMOUSv4_computersF89F515710145EAB0.144


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T15:30:59alpertronManual testing
193175849044280903202823
D62A667614F2C0__no
2017-10-25T01:02:13Oliver KruseGTX-3
193175849044280903202823
D62A667614F2C0__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 = 148568 (P-1 stage 1)
B1 = 119284 (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)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
267
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2022-03-09T16:35:58+00:00