is 2 2774117 - 1
has 835093 decimal digits
takes 0.214 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L7E313A39B25F448Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26710.711167.1642 %2880002264238901.41217.4933 %12.123269.6247 %
Target2630.575365.0794 %1500012000000.00891.7468 %0.584265.6893 %
Difference+4+10.1358+2.0848 %+273000+225223890+1.4031+5.7465%+11.5389+3.9353 %

Known prime factors (2 factors, 127.2 bits, 0.00458379% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
277411758692496564251712791962.3481057859069467
34147 × 30979561
2010-09-2434147309795610.22150.19260.3530
2774117323808599692946525032064.8125836246266703
96907 × 60225229
2018-01-2396907602252291.28300.37770.6863

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-11-16ANONYMOUSv4_computers2048204800--0.0010.680%
2023-01-27USAFSSUSAFSACS288000226423890
skipped known factor: 5869249656425171279
skipped known factor: 32380859969294652503
--1.55610.680%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2009-01-28Sturle Sundebruckner.ifi2602610.055
2022-03-11LordJuliusManual testing261262
2022-03-11LordJuliusManual testing263264
2018-01-23TJAOIManual testing264265*
64.812
20
1.093


ECM factoring results:
Total ECM effort:0.485 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
10.243
50000500000030.243


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-09MadPoov4_computers7E313A39B25F448C0.214


PRP results:
dateuseridcompidcofactorsres64
2017-10-21Oliver KruseGTX-0
5869249656425171279
81077B7A14A5BF50
2017-12-06kkmrkkblmbrbkc4.xlarge
5869249656425171279
81077B7A14A5BF50
2018-01-23ATHec2-1xh
5869249656425171279
32380859969294652503
81077B7A14A5BF50


CERT results:
No CERT results for M2774117


P-1 factor-bounds graph:
B1 = 288000, B2 = 226423890 (P-1 stage 2)
B1 = 288000 (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
108
109
TF factor-bounds graph:
264
262
261
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
250
260
270
JSON version of this page
Last modified: 2024-02-29T14:28:04+00:00