is 2 195241 - 1
has 58774 decimal digits
takes 0.001 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
Actual267152.191073.1343 %10000000020000000001.360712.3093 %153.551776.4413 %
Target2440.000059.0909 %36004000000.00028.8300 %0.000262.7032 %
Difference+23+152.1910+14.0434 %+99996400+1999600000+1.3606+3.4793%+153.5515+13.7381 %

Known prime factors (3 factors, 109.9 bits, 0.05626863% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1952419371569723.16024
23 × 3
-885.724e-125.349e-81.089e-7
195241500988407928.9001283
1283
2008-07-27112831.832e-104.737e-78.720e-7
1952412508094297591369431857.799642307276031
17 × 4787 × 7892789
2009-03-05478778927890.09830.00290.0054

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2017-06-09kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 9371569
skipped known factor: 500988407
skipped known factor: 250809429759136943
---42.001%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-07-27J FeitsmaManual testing??
28.900
9


ECM factoring results:
Total ECM effort:21.000 GHz-days
Estimated T-Level:30.449
DigitsB1CompleteFacMiss
201100063.8780.000%
25500009.4790.008%
302500001.03835.404%
3510000000.09091.414%
4030000000.00699.362%


ECM Summary

B1B2factorcurvesGHz-days
10.004
5000050000002811.371
2500002500000046811.41
25000031250000140.370
25000023541903080.896
25000025426810570.836
250000367537170101.638
929109142153677424.472


Lucas-Lehmer results:
No L-L results for M195241


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptop
9371569
500988407
250809429759136943
209FA01D6DE5D80E
2017-09-22Oliver KruseManual testing
9371569
500988407
250809429759136943
209FA01D6DE5D80E
2017-09-22Oliver KruseManual testing
9371569
500988407
250809429759136943
209FA01D6DE5D80E
2017-11-06kkmrkkblmbrbkc4.xlarge
9371569
500988407
250809429759136943
209FA01D6DE5D80E
2020-04-17Oliver KruseAddPrpType5
9371569
500988407
250809429759136943
57DB0D1FD2C05373
2023-08-24USAFSS6917th_Scty_Sq
9371569
500988407
250809429759136943
57DB0D1FD2C05373


CERT results:
dateuseridcompid
2023-08-24WeakForceBosonJOHN9456789tommy


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=30.45 ~= 85-bit
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290
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Last modified: 2024-02-29T14:28:04+00:00