is 2 3315407 - 1
has 998037 decimal digits
takes 0.348 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LD668DBD11A939597double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26817.978167.6471%10630801199121001.14807.5850%19.126270.1010%2.4540%
PrimeNet2600.046363.3333%140002600000.00422.7807%0.050564.3529%1.0196%
GPU722641.073665.6250%170003000000.00491.7237%1.078566.2175%0.5925%
Difference+4+16.9046+2.0221%+1046080+119612100+1.1431+5.8613%+18.0476+3.8835%+3.8835%

Known prime factors (1 factor, 80.3 bits, 0.00242295% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
331540715203039954388645387301932580.331229278636897199128
23 × 32 × 45783421 × 69554119
2016-09-29457834216955411998,6047.169614.190

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-03T21:37:00Carsten Kossendeydurandal15000195000---0.004--0.793%
2011-10-03T19:02:00harleeP4_260055000880000---0.015--1.811%
2012-11-19T15:29:00Squeeky_SquirrelP4_26001800003285000---0.053--3.142%
2021-03-07T12:29:04Jocelyn LaroucheManual testing33154036469476---0.078--3.502%
2022-01-24T05:49:33Jocelyn LaroucheManual testing1063080119912100---1.148--7.585%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-01-16T00:00:00Joel Armengaudv4_computers21260--0.046--
2009-03-29T21:06:00S485122USB-Z260261--0.046--
2011-09-10T05:53:00Grant McCrackenthumper261262--0.093--
2022-04-20T18:17:10LordJuliusManual testing21262--0.185--
2011-10-25T08:14:00Aaron HavilandManual testing262263--0.296--
2022-04-20T18:17:10LordJuliusManual testing262263--0.296--
2011-10-25T08:14:00Aaron HavilandManual testing263264--0.592--
2022-04-20T18:17:10LordJuliusManual testing263264--0.592--
2011-10-25T08:14:00Aaron HavilandManual testing264265--1.127--
2022-04-20T18:17:10LordJuliusManual testing264265--1.127--
2016-03-02T03:27:33YxinityManual testing265266--2.254--
2022-04-20T18:17:11LordJuliusManual testing265266--2.254--
2022-04-20T18:17:11LordJuliusManual testing266267--4.508--
2021-06-30T11:05:42Jocelyn LaroucheManual testing267268--9.016--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.313 GHz-days
Estimated T-Level:0.450
DigitsB1CurvesCompleteFacMiss
20110009 / 1000.09091.352%
25500009 / 2800.03296.831%

New Calculation Method

Total ECM effort:1.313 GHz-days
Estimated T-Level:0.450
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000091.313


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-03-03T00:00:00Joel Armengaudv4_computersD668DBD11A9395970.348
1999-07-30T00:00:00ANONYMOUSv4_computersD668DBD11A9395970.348


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-04T08:17:51Oliver KruseGTX-0
1520303995438864538730193
A711D4A2252B9D__no
2017-12-14T21:34:17kkmrkkblmbrbkc4.xlarge
1520303995438864538730193
A711D4A2252B9D__no


P-1 factor-bounds graph:
B1 = 1063080, B2 = 119912100 (P-1 stage 2)
B1 = 1063080 (P-1 stage 1)
B1 = 331540, B2 = 3646947 (P-1 stage 2)
B1 = 180000, B2 = 3285000 (P-1 stage 2)
B1 = 331540 (P-1 stage 1)
B1 = 180000 (P-1 stage 1)
B1 = 55000, B2 = 880000 (P-1 stage 2)
B1 = 55000 (P-1 stage 1)
B1 = 15000, B2 = 195000 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
103
104
105
106
107
108
103
104
105
106
107
108
109
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2022-04-20T18:17:11+00:00