is 2 14414831 - 1
has 4339297 decimal digits
takes 6.903 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
Actual2698.282265.2174 %3000002147909408.32307.5203 %16.605267.8332 %
Target2698.282265.2174 %100000120000000.51962.9230 %8.801966.2341 %
Difference---+200000+202790940+7.8033+4.5973%+7.8033+1.5991 %

Known prime factors (4 factors, 183.2 bits, 0.00127078% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1441483180723053611032.910280
23 × 5 × 7
-884.210e-115.555e-61.131e-5
14414831580341096071135.7562013
3 × 11 × 61
2008-09-0811614.559e-109.530e-61.555e-5
144148313429576591531238.31911896
23 × 1487
2008-09-08814874.001e-96.151e-50.0001
14414831864732173927718056527672376.1952999453042244193
1327 × 42467 × 53225477
2023-01-2642467532254771,078.52.04153.7609

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-11-21nordisweet16_30.8b14300000300000
skipped known factor: 8072305361
skipped known factor: 58034109607
skipped known factor: 342957659153
--0.2081.722%
2023-01-26nordisweet16_30.8b1430000021479094022376.1959.907.520%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-09-08Will EdgingtonManual testing??
35.756
11
2008-09-08Will EdgingtonManual testing??
38.319
12
2024-03-18vshManual testing267269
32.910
35.756
10
11


ECM factoring results:
No ECM results for M14414831


Lucas-Lehmer results:
No L-L results for M14414831


PRP results:
dateuseridcompidcofactorsres64
2023-02-12Naegi Makoto4590
8072305361
58034109607
342957659153
86473217392771805652767
3173F11D8989E22D


CERT results:
dateuseridcompid
2023-02-12Richard Thomasdjinn.pc


P-1 factor-bounds graph:
B1 = 300000, B2 = 214790940 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
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100
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109
TF factor-bounds graph:
269
this exponent TF target: 69
TF double-checked to: 67
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Last modified: 2024-03-18T12:44:43+00:00