is 2 11177 - 1
has 3365 decimal digits
takes 0.000 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
Actual2672,658.487779.1045 %1000000000001221925735127097001,265,661.497940.4592 %1,268,319.985687.5586 %
Target2440.000268.1818 %500500000.00001.3077 %0.000268.5979 %
Difference+23+2,658.4875+10.9227 %+99999999500+122192573512659700+1,265,661.4979+39.1515%+1,268,319.9854+18.9607 %

Known prime factors (3 factors, 285.7 bits, 2.55577741% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
11177257744545691531444.5511153013088
25 × 3 × 29 × 414157
-324141570.00044.295e-68.012e-6
1117735072116845795552879698552014258029736118.07815689414353491792466537779374724
22 × 32 × 439 × 2643817026793 × 375498595167767
2018-12-1826438170267933754985951677671.167e+134,364.67,264.2
111771086047366934580519242310264953144936738123.030485840282246837487359000744812179
3 × 79 × 1490170964489 × 1375653563029298503
2010-04-19149017096448913756535630292985031.153e+1314,248,98226,612,630

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-09-07kkmrkkblmbrbkManual testing2000000002000000000012
skipped known factor: 25774454569153
---43.457%
2022-12-29ANONYMOUST5810100000000000122192573512709700
skipped known factor: 25774454569153
--500,00079.092%


Trial Factoring results:
5758596061626364656667
No TF results for M11177


ECM factoring results:
Total ECM effort:50.141 GHz-days
Estimated T-Level:40.556
DigitsB1CompleteFacMiss
20110001,133.5110.000%
2550000271.6490.000%
3025000051.2270.000%
3510000007.8660.038%
4030000001.00336.671%
45110000000.11189.479%
50440000000.01198.932%


ECM Summary

B1B2factorcurvesGHz-days
10.022
5000050000003600.045
100000100000001,3000.356
25000025000000300.019
10000001000000001,2313.356
30000003000000003,64729.93
30000003000000005274.325
44000000893921898870112.09


Lucas-Lehmer results:
No L-L results for M11177


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KrusePRP
25774454569153
10860473669345805192423102649531449367
1D97DF61FEFCD885
2017-09-21Oliver KruseManual testing
25774454569153
10860473669345805192423102649531449367
1D97DF61FEFCD885
2017-10-02kkmrkkblmbrbkManual testing
25774454569153
10860473669345805192423102649531449367
1D97DF61FEFCD885
2017-12-07ATHManual testing
25774454569153
10860473669345805192423102649531449367
1D97DF61FEFCD885
2018-12-18Probably_PrimePRPTester
25774454569153
350721168457955528796985520142580297
10860473669345805192423102649531449367
76830CF7B28EDADC
2018-12-21Oliver KruseGTX-0
25774454569153
350721168457955528796985520142580297
10860473669345805192423102649531449367
76830CF7B28EDADC


CERT results:
No CERT results for M11177


P-1 factor-bounds graph:
B1 = 100000000000, B2 = 122192573512709700 (P-1 stage 2)
B1 = 100000000000 (P-1 stage 1)
B1 = 200000000, B2 = 20000000000 (P-1 stage 2)
B1 = 200000000 (P-1 stage 1)
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TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=40.56 ~= 118-bit
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Last modified: 2024-03-13T02:15:48+00:00