is 2 2433953 - 1
has 732693 decimal digits
takes 0.164 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LD4099BC56A725513double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26712.208167.1642%1986400695240000.55507.8042%12.763169.7268%2.5626%
PrimeNet2590.031662.7119%100001800000.00192.5251%0.033463.6534%0.9416%
GPU722630.655765.0794%100001500000.00171.3058%0.657565.5354%0.4560%
Difference+4+11.5524+2.0848%+1976400+69374000+0.5533+6.4984%+12.1057+4.1914%+4.1914%

Known prime factors (1 factor, 66.3 bits, 0.00272325% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2433953897552565487446867432066.28318438165516907
31397 × 587258831
2015-07-05313975872588316.55553.13705.8537

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-14T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.289%
2003-10-31T00:00:00Team Prime Ribv4_computers15000217500---0.003--0.901%
2010-11-17T11:34:00Jocelyn LaroucheManual testing2000020000---0.002--0.312%
2011-01-09T14:31:00Oscar Östlin7501175011---0.007--0.795%
2011-01-24T12:42:00Oscar Östlin950001923750---0.019--2.664%
2014-05-02T10:00:00mikrMSI198640069524000---0.555--7.804%
2018-09-28T17:00:35alpertronManual testing20000006000000012---0.505--7.626%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-02-08T00:00:00ANONYMOUSv4_computers21258--0.016--
1999-03-15T00:00:00ANONYMOUSv4_computers21259--0.032--
2022-03-10T05:52:51LordJuliusManual testing21260--0.063--
2009-01-10T20:55:00Sturle Sundedanzi.ifi260261--0.063--
2012-06-05T17:43:00Sebastian HornbostelManual testing261262--0.126--
2013-12-04T21:13:00Jerry HallettManual testing262263--0.403--
2015-02-27T20:40:00VictordeHollanderManual testing263264--0.807--
2015-02-27T20:40:00VictordeHollanderManual testing264265--1.535--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.160 GHz-days
Estimated T-Level:0.650
DigitsB1CurvesCompleteFacMiss
201100013 / 1000.13087.752%
255000013 / 2800.04695.455%

New Calculation Method

Total ECM effort:1.160 GHz-days
Estimated T-Level:0.650
DigitsB1CompleteFacMiss
20110000.41965.747%
25500000.03896.281%
302500000.00299.767%


ECM Summary

B1B2factorcurvesGHz-days
500005000000121.070
50000500000010.089


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-02-08T00:00:00ANONYMOUSv4_computersD4099BC56A7255130.164
1999-03-26T00:00:00ANONYMOUSv4_computersD4099BC56A7255130.164


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T15:24:47alpertronManual testing
89755256548744686743
F908703173686E__no
2017-11-04T02:15:44Oliver KruseGTX-3
89755256548744686743
F908703173686E__no


P-1 factor-bounds graph:
B1 = 1986400, B2 = 69524000 (P-1 stage 2)
B1 = 2000000, B2 = 60000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1986400 (P-1 stage 1)
B1 = 95000, B2 = 1923750 (P-1 stage 2)
B1 = 95000 (P-1 stage 1)
B1 = 75011 (P-1 stage 1)
B1 = 15000, B2 = 217500 (P-1 stage 2)
B1 = 20000 (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
265
264
263
262
261
260
259
258
250
260
270
280
290
2100
Last modified: 2022-03-10T05:52:51+00:00