is 2 2778823 - 1
has 836510 decimal digits
takes 0.215 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L8680F4386DAFE74Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26710.693067.1642%11000023925000.02622.9368%10.719268.1285%0.9643%
PrimeNet2590.027662.7119%120002200000.00262.8579%0.030263.7775%1.0656%
GPU722630.574365.0794%150002400000.00311.7473%0.577465.6895%0.6102%
Difference+4+10.1186+2.0848%+95000+2152500+0.0232+1.1895%+10.1418+2.4390%+2.4390%

Known prime factors (1 factor, 67.9 bits, 0.00244279% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27788232717211990013676971672167.88148891418957121
13 × 101 × 41897 × 888761
2010-11-274189788876119.5890.00990.0101

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-17T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.300%
2010-11-10T22:07:00Jocelyn LaroucheManual testing1500015000---0.002--0.252%
2010-11-27T11:53:00markrtiny11000023925002167.8810.0260.4290.0522.937%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-01-28T03:03:00Sturle Sundeghini.ifi260261--0.055--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.624 GHz-days
Estimated T-Level:0.300
DigitsB1CurvesCompleteFacMiss
20110006 / 1000.06094.148%
25500006 / 2800.02197.876%

New Calculation Method

Total ECM effort:0.624 GHz-days
Estimated T-Level:0.300
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000060.624


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-08-07T00:00:00ANONYMOUSv4_computers8680F4386DAFE74E0.215


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-21T04:38:37Oliver KruseGTX-3
271721199001367697167
9239399D69C2C6__no
2017-12-06T15:43:13treborLaptop
271721199001367697167
9239399D69C2C6__no


P-1 factor-bounds graph:
B1 = 110000, B2 = 2392500 (P-1 stage 2)
B1 = 110000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
TF factor-bounds graph:
267
261
250
260
270
280
290
2100
Last modified: 2017-12-06T15:43:13+00:00