is 2 2461703 - 1
has 741047 decimal digits
takes 0.171 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26712.070567.1642 %2000000600000000.51907.6351 %12.589469.6712 %
Target2630.648365.0794 %100008000000.00531.3347 %0.653765.5454 %
Difference+4+11.4221+2.0848 %+1990000+59200000+0.5136+6.3005%+11.9358+4.1258 %

Known prime factors (3 factors, 123.9 bits, 0.00503127% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
246170315410260791030.521313
313
-13136.204e-111.810e-63.237e-6
24617033343386546491238.28367908
22 × 3 × 5659
2008-07-14456592.527e-83.139e-55.792e-5
2461703373302260350514471755.0517582195341
32 × 7 × 23 × 101 × 103 × 503
2015-01-021035030.00361.255e-52.108e-5

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2018-09-28alpertronManual testing20000006000000012
skipped known factor: 1541026079
skipped known factor: 334338654649
skipped known factor: 37330226035051447
---10.549%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2015-01-02TJAOIManual testing255256*
55.051
17
9.98148e-5


ECM factoring results:
Total ECM effort:5.975 GHz-days
Estimated T-Level:21.080
DigitsB1CompleteFacMiss
20110002.3149.885%
25500000.21680.581%
302500000.01498.637%


ECM Summary

B1B2factorcurvesGHz-days
10.066
50000500000060.550
500007000000505.358


Lucas-Lehmer results:
No L-L results for M2461703


PRP results:
dateuseridcompidcofactorsres64
2017-10-13Oliver KruseGTX-0
1541026079
334338654649
37330226035051447
EC26326C2C18DE6C
2017-11-29kkmrkkblmbrbkold
1541026079
334338654649
37330226035051447
EC26326C2C18DE6C


CERT results:
No CERT results for M2461703


P-1 factor-bounds graph:
B1 = 2000000, B2 = 60000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
TF factor-bounds graph:
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=21.08 ~= 53-bit
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00