is 2 2819329 - 1
has 848703 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-L511228B782C0DD27double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26710.539467.1642%10000030000000.02893.0410%10.568368.1627%0.9985%
PrimeNet2590.027262.7119%120002400000.00272.9307%0.030063.8047%1.0928%
GPU722630.566165.0794%150002600000.00321.7921%0.569365.7052%0.6258%
Difference+4+9.9733+2.0848%+85000+2740000+0.0257+1.2489%+9.9990+2.4575%+2.4575%

Known prime factors (1 factor, 68.1 bits, 0.00241402% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
28193293075063250820430798792168.05954535374389091
3 × 37 × 491309679181
2013-03-303749130967918136.2462,997.85,599.1

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
2009-02-13T18:10:00Sturle Sundefizir.ifi260261--0.054--
2012-02-23T23:29:00Grant McCrackenthumper261262--0.109--
2013-01-10T10:21:00dbaughManual testing262263--0.348--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.626 GHz-days
Estimated T-Level:0.300
DigitsB1CurvesCompleteFacMiss
20110006 / 1000.06094.148%
25500006 / 2800.02197.876%

New Calculation Method

Total ECM effort:0.626 GHz-days
Estimated T-Level:0.300
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000060.626


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-27T00:00:00ANONYMOUSv4_computers511228B782C0DD270.218


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-22T01:42:40Oliver KruseGTX-2
307506325082043079879
51CB921461A5D2__no
2017-12-06T23:45:07kkmrkkblmbrbkc4.xlarge
307506325082043079879
51CB921461A5D2__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)
100
101
102
103
104
105
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
267
263
262
261
250
260
270
280
290
2100
Last modified: 2017-12-06T23:45:07+00:00