is 2 4422391 - 1
has 1331273 decimal digits
takes 0.552 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L4984AFBADE5046F5double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2676.719065.6716%1800000680000000.97788.1983%7.696868.4860%2.8143%
PrimeNet2610.069562.2951%180003600000.00662.9401%0.076163.4036%1.1086%
GPU722651.649764.6154%260005000000.00942.0336%1.659165.3350%0.7196%
Difference+2+5.0693+1.0563%+1774000+67500000+0.9684+6.1647%+6.0377+3.1510%+3.1510%

Known prime factors (1 factor, 95.2 bits, 0.00215328% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4422391463535507801886657194419584492995.2275240779340880155748264
23 × 32 × 31 × 149 × 18211 × 170539 × 5074087
2016-09-1717053950740871.894e+90.07920.0934

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-19T08:37:00Carsten Kossendeydurandal25000356250---0.008--1.385%
2012-04-02T16:00:00Squeeky_SquirrelT7500_22001350002733750---0.050--3.352%
2016-09-17T08:07:54mikrMSI180000068000000122995.2270.9781.1031.9568.198%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-02-12T00:00:00ANONYMOUSv4_computers21260--0.035--
2001-11-24T00:00:00ANONYMOUSv4_computers21261--0.069--
2010-10-21T21:38:00markrut261262--0.069--
2012-01-14T04:25:00GrunwalderGIMPManual testing21263--0.361--
2016-02-23T16:38:51Mark RoseManual testing262263--0.222--
2014-08-27T15:42:00JayderManual testing263264--0.444--
2014-08-30T11:46:00lycornManual testing264265--0.845--
2015-06-22T11:54:00snme2pm1Manual testing265266--1.690--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.656 GHz-days
Estimated T-Level:0.450
DigitsB1CurvesCompleteFacMiss
20110009 / 1000.09091.352%
25500009 / 2800.03296.831%

New Calculation Method

Total ECM effort:1.656 GHz-days
Estimated T-Level:0.450
DigitsB1CompleteFacMiss
20110000.29074.802%
25500000.02697.410%
302500000.00299.839%


ECM Summary

B1B2factorcurvesGHz-days
50000500000091.656


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-03-23T00:00:00ANONYMOUSv4_computers4984AFBADE5046F50.552
1999-11-10T00:00:00ANONYMOUSv4_computers4984AFBADE5046F50.552


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-20T19:29:24kkmrkkblmbrbkManual testing
46353550780188665719441958449
AE5D4EC2CF0BFB__no
2018-02-10T22:34:24treborLaptop
46353550780188665719441958449
AE5D4EC2CF0BFB__no


P-1 factor-bounds graph:
B1 = 1800000, B2 = 68000000 (P-1 stage 2)
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
TF factor-bounds graph:
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2018-02-10T22:34:24+00:00