is 2 2819449 - 1
has 848739 decimal digits
takes 0.218 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L978CB34399FACC36double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26710.538967.1642%10000030000000.02893.0410%10.567868.1627%0.9985%
PrimeNet2590.027262.7119%120002400000.00272.9308%0.030063.8047%1.0928%
GPU722630.566165.0794%150002600000.00321.7921%0.569265.7052%0.6258%
Difference+4+9.9728+2.0848%+85000+2740000+0.0257+1.2489%+9.9986+2.4575%+2.4575%

Known prime factors (1 factor, 69.4 bits, 0.00246239% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
28194497929755829015435028072169.426140625984527747
4213837 × 33372431
2015-06-1742138373337243165.9060.64980.9604

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-28T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.301%
unknown1000003000000---0.029--3.041%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-02-13T19:46:00Sturle Sundefizir.ifi260261--0.054--
2012-02-24T06:17:00Grant McCrackenthumper261262--0.109--
2013-01-10T10:21:00dbaughManual testing262263--0.348--
2015-04-25T17:15:00VictordeHollanderManual testing263264--0.696--
2015-04-25T17:15:00VictordeHollanderManual testing264265--1.325--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.564 GHz-days
Estimated T-Level:0.750
DigitsB1CurvesCompleteFacMiss
201100015 / 1000.15086.006%
255000015 / 2800.05494.775%

New Calculation Method

Total ECM effort:1.564 GHz-days
Estimated T-Level:0.750
DigitsB1CompleteFacMiss
20110000.48461.639%
25500000.04495.721%
302500000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
500005000000121.252
50000500000030.313


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-11-04T00:00:00ANONYMOUSv4_computers978CB34399FACC360.218


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-22T01:27:54Oliver KruseGTX-3
792975582901543502807
4C471CD2A80752__no
2017-12-06T23:46:30kkmrkkblmbrbkc4.xlarge
792975582901543502807
4C471CD2A80752__no


P-1 factor-bounds graph:
B1 = 100000, B2 = 3000000 (P-1 stage 2)
B1 = 100000 (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
TF factor-bounds graph:
267
265
264
263
262
261
250
260
270
280
290
2100
Last modified: 2017-12-06T23:46:30+00:00