is 2 4309451 - 1
has 1297275 decimal digits
takes 0.537 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
Actual2676.895165.6716 %2200001458428401.47467.1384 %8.369768.1221 %
Target2651.693064.6154 %2400025000000.02871.9825 %1.721765.3169 %
Difference+2+5.2021+1.0563 %+196000+143342840+1.4459+5.1559%+6.6480+2.8053 %

Known prime factors (3 factors, 179.6 bits, 0.00416805% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4309451206853649927.62424
23 × 3
-884.171e-121.447e-62.944e-6
4309451188408813323521165532064.0312185995540076
22 × 546498885019
2017-06-2945464988850191.52715,384.710,057
43094513021500217718655468176412472787.96535056672157528365773
3 × 11 × 13 × 16519 × 138517 × 35713019
2022-10-18138517357130199,403,0420.37560.6572

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-10-18USAFSSUSAFSACS22000014584284022787.9651.6398.597%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2017-06-29TJAOIManual testing264265*
64.031
20
0.026


ECM factoring results:
Total ECM effort:0.549 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.549


Lucas-Lehmer results:
No L-L results for M4309451


PRP results:
dateuseridcompidcofactorsres64
2017-09-28alpertronManual testing
18840881332352116553
206853649
C44D4C3E8EFBA55E
2017-12-30kkmrkkblmbrbkc4.xlarge
206853649
18840881332352116553
C44D4C3E8EFBA55E
2022-10-24Funky Waddlemain
206853649
18840881332352116553
302150021771865546817641247
1D9050E0D0C01144


CERT results:
dateuseridcompid
2022-10-24curtiscwcm128--35l


P-1 factor-bounds graph:
B1 = 220000, B2 = 145842840 (P-1 stage 2)
B1 = 220000 (P-1 stage 1)
100
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106
100
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104
105
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109
1010
1011
1012
TF factor-bounds graph:
this exponent TF target: 65
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
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Last modified: 2024-03-13T02:15:48+00:00