is 2 2248931 - 1
has 676996 decimal digits
takes 0.148 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LD5D29CEFCE48F88Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26713.212567.1642 %500000150000000.12305.1958 %13.335468.8702 %
Target2620.273264.5161 %110009500000.00591.6598 %0.279165.1051 %
Difference+5+12.9393+2.6481 %+489000+14050000+0.1171+3.5360%+13.0563+3.7652 %

Known prime factors (3 factors, 231.8 bits, 0.01030797% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2248931135825424205560414681992373.5243019777489962129
3 × 13 × 179 × 277 × 10891 × 143387
2002-06-23108911433871,526.10.00170.0021
2248931307252666344581650186572374.7026831082553101488
24 × 32 × 11 × 19 × 401 × 22613 × 25031
2002-06-2322613250311,895.60.00220.0044
2248931145893183361281477670418332683.5933243611817376377436
22 × 112 × 17 × 53 × 61 × 15289 × 7975351
2016-05-031528979753511,609,3710.04280.0774

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-06-23ANONYMOUSv4_computers45148.226-0.000%
2016-05-03alpertronManual testing500000150000001222683.5930.1238.291%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-02-07ANONYMOUSv4_computers212580.017


ECM factoring results:
Total ECM effort:8.003 GHz-days
Estimated T-Level:21.564
DigitsB1CompleteFacMiss
20110003.3593.477%
25500000.31373.142%
302500000.02098.033%


ECM Summary

B1B2factorcurvesGHz-days
10.062
10.062
500005000000181.545
50000678076570.689
500007000000505.003
50000705477170.703


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15ANONYMOUSv4_computersD5D29CEFCE48F88B0.148


PRP results:
dateuseridcompidcofactorsres64
2017-10-10Oliver KruseGTX-15513E51413FA51__
2017-10-18Oliver KruseGTX-2
13582542420556041468199
30725266634458165018657
14589318336128147767041833
BE15EA38F0F7C92B
2017-11-21kkmrkkblmbrbkc4.xlarge
13582542420556041468199
30725266634458165018657
14589318336128147767041833
BE15EA38F0F7C92B


CERT results:
No CERT results for M2248931


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
TF factor-bounds graph:
258
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.56 ~= 55-bit
250
260
270
280
290
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00