is 2 3184471 - 1
has 958622 decimal digits
takes 0.271 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L9FD0D9988DD5965Ddouble-checked
PRPC182715FB9F1241Everified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.717467.6471%40000001500000001.47538.7569%20.192770.4802%2.8331%
PrimeNet2600.048263.3333%130002400000.00312.6551%0.051464.3069%0.9735%
GPU722641.117765.6250%150002600000.00351.5833%1.121266.1693%0.5443%
Difference+4+17.5996+2.0221%+3985000+149740000+1.4718+7.1736%+19.0715+4.3109%+4.3109%

Known prime factors (1 factor, 71.6 bits, 0.00224768% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
318447135217155792400192285772271.577552951428862128
24 × 113 × 305835967291
2021-03-14113305835967291249.862,056.43,840.7

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-03T07:19:00Carsten Kossendeyleela15000191250---0.003--0.782%
2011-09-12T19:37:00Squeeky_SquirrelT7500_220060000975000---0.014--1.885%
2014-06-01T23:28:00Jocelyn LaroucheManual testing8015580155---0.010--0.753%
2014-09-29T22:04:00Jocelyn LaroucheManual testing100310100310---0.012--0.862%
2015-09-24T01:34:39Jocelyn LaroucheManual testing441191441191---0.054--1.826%
2015-11-17T00:21:43Jocelyn LaroucheManual testing558607558607---0.069--2.021%
2016-03-08T09:14:06Jocelyn LaroucheManual testing670328120659046---0.159--4.876%
2019-09-30T10:10:15mikrMSI400000015000000012---1.475--8.757%
2022-02-27T01:57:32Jocelyn LaroucheManual testing1000000134343300---1.020--7.626%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-07-07T00:00:00ANONYMOUSv4_computers21260--0.048--
2009-04-07T22:18:00S485122USB-A260261--0.048--
2011-10-19T22:39:00Grant McCrackenthumper261262--0.096--
2013-01-03T08:45:00dbaughManual testing262263--0.308--
2015-02-15T12:51:00VictordeHollanderManual testing263264--0.617--
2015-02-15T12:51:00VictordeHollanderManual testing264265--1.173--
2015-06-18T20:57:00ThaManual testing265266--2.347--
2017-05-01T03:37:55Gordon SpenceManual testing266267--4.693--
2019-01-07T14:44:19TJAOIManual testing267268--9.386--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.460 GHz-days
Estimated T-Level:1.900
DigitsB1CurvesCompleteFacMiss
201100038 / 1000.38068.255%
255000038 / 2800.13687.288%

New Calculation Method

Total ECM effort:4.460 GHz-days
Estimated T-Level:1.900
DigitsB1CompleteFacMiss
20110001.22629.352%
25500000.11189.513%
302500000.00799.320%


ECM Summary

B1B2factorcurvesGHz-days
500005000000364.225
50000500000020.235


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-02-12T00:00:00Vassilov4_computers9FD0D9988DD5965D0.271
1999-06-15T00:00:00ANONYMOUSv4_computers9FD0D9988DD5965D0.271


PRP results:
dateuseridcompidcofactorsres64PRP
2021-03-15T14:17:19happy5214Focus
3521715579240019228577
C182715FB9F1241Eno


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 1000000, B2 = 134343300 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 670328, B2 = 12065904 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 670328 (P-1 stage 1)
B1 = 558607 (P-1 stage 1)
B1 = 441191 (P-1 stage 1)
B1 = 60000, B2 = 975000 (P-1 stage 2)
B1 = 100310 (P-1 stage 1)
B1 = 80155 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 191250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
101
102
103
104
105
106
107
101
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2022-02-27T01:57:32+00:00