is 2 4451179 - 1
has 1339939 decimal digits
takes 0.555 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L013A03C4171C007Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2676.675565.6716%23400002012400002.38309.7901%9.058569.0324%3.3608%
PrimeNet2610.069062.2951%180003600000.00662.9434%0.075663.4049%1.1098%
GPU722651.639064.6154%260005500000.00992.0870%1.648965.3539%0.7385%
Difference+2+5.0365+1.0563%+2314000+200690000+2.3731+7.7031%+7.4096+3.6785%+3.6785%

Known prime factors (1 factor, 93.4 bits, 0.00209798% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4451179129324486353556956895583423512993.3851452699232647765422325
3 × 52 × 443 × 36209 × 828067 × 1458239
2016-11-308280671458239601,361,7260.15600.3048

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-20T12:35:00Carsten Kossendeydurandal25000356250---0.008--1.387%
2012-05-08T15:47:00Squeeky_SquirrelT7500_22001350002733750---0.050--3.355%
2016-11-30T18:24:48mikrMSI180000018000002993.3850.3261.1100.6513.637%
2021-08-06T00:51:15Dylan Delgadodesktoplinux2340000201240000-
skipped known factor: 12932448635355695689558342351
--2.383--9.790%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-12-01T00:00:00ANONYMOUSv4_computers21261--0.069--
2010-10-14T23:17:00markrut261262--0.069--
2012-02-03T03:49:00GrunwalderGIMPManual testing21263--0.359--
2016-02-23T16:38:51Mark RoseManual testing262263--0.221--
2014-09-14T11:09:00JayderManual testing263264--0.441--
2014-09-14T12:44:00monstManual testing264265--0.839--
2015-06-24T23:35:00snme2pm1Manual testing265266--1.679--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.659 GHz-days
Estimated T-Level:0.450
DigitsB1CurvesCompleteFacMiss
20110009 / 1000.09091.352%
25500009 / 2800.03296.831%

New Calculation Method

Total ECM effort:1.659 GHz-days
Estimated T-Level:0.450
DigitsB1CompleteFacMiss
20110000.29074.802%
25500000.02697.410%
302500000.00299.839%


ECM Summary

B1B2factorcurvesGHz-days
50000500000091.659


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-03-23T00:00:00ANONYMOUSv4_computers013A03C4171C007B0.555
1999-11-24T00:00:00ANONYMOUSv4_computers013A03C4171C007B0.555


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-17T00:55:33kkmrkkblmbrbkc4.xlarge
12932448635355695689558342351
71552B29850A96__no
2018-02-14T13:33:55Oliver KruseGTX-3
12932448635355695689558342351
71552B29850A96__no


P-1 factor-bounds graph:
B1 = 2340000, B2 = 201240000 (P-1 stage 2)
B1 = 2340000 (P-1 stage 1)
B1 = 1800000 (P-1 stage 1)
B1 = 135000, B2 = 2733750 (P-1 stage 2)
B1 = 135000 (P-1 stage 1)
B1 = 25000, B2 = 356250 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
TF factor-bounds graph:
267
266
265
264
263
262
261
250
260
270
280
290
2100
Last modified: 2021-08-06T00:51:15+00:00