is 2 11617 - 1
has 3498 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
Actual2672,557.796179.1045%1000000000001221925735127097001,903,855.219340.5082%1,906,413.015487.5689%
Target2440.000268.1818%500100000.00001.3232%0.000268.6028%
Difference+23+2,557.7959+10.9227%+99999999500+122192573512699700+1,903,855.2193+39.1850%+1,906,413.0152+18.9660%

Known prime factors (6 factors, 304.2 bits, 2.61841036% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
116171858721720.82680
24 × 5
-16161.223e-114.576e-99.312e-9
1161743494049825.3741872
24 × 32 × 13
2008-08-2616165.407e-104.576e-99.312e-9
11617567786683511135.7252443775
52 × 239 × 409
2008-08-262394097.706e-77.100e-81.391e-7
11617680118403233671445.9512927254899
3 × 181 × 5390893
2008-08-2618153908930.00088.404e-50.0002
1161716624809242377371650.56271553797204
22 × 1583 × 1999 × 5653
2008-08-26199956530.02446.286e-71.163e-6
116177117931769890759703538203478994399719938125.7433063584303129362014090644520527847
32 × 340398255903262446010071613391983
2017-03-0693403982559032624460100716133919831.130e+135.304e+219.906e+21

57 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-09-07kkmrkkblmbrbkManual testing1000000001000000000012-
skipped known factor: 1858721
skipped known factor: 43494049
skipped known factor: 56778668351
skipped known factor: 68011840323367
skipped known factor: 1662480924237737
--0.183--12.170%
2021-08-27Seth_TrManual testing400000000400000000-
skipped known factor: 1858721
skipped known factor: 43494049
skipped known factor: 56778668351
skipped known factor: 68011840323367
skipped known factor: 1662480924237737
--0.114--7.718%
2023-01-18-Anonymous-EPYC7452100000000000122192573512709700-
skipped known factor: 1858721
skipped known factor: 43494049
skipped known factor: 56778668351
skipped known factor: 68011840323367
skipped known factor: 1662480924237737
--1,903,855--40.508%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26ANONYMOUSManual testing??50.562160.0124.87326e-60.025
2008-08-26ANONYMOUSManual testing??25.37481.55913e-100.0001.40601e-8
2008-08-26ANONYMOUSManual testing??35.725113.76538e-70.0003.38263e-5
2008-08-26ANONYMOUSManual testing??45.951140.0004.87326e-60.001
2011-02-05Oscar Östlinv4_computers??56.551180.2504.87326e-60.531
2011-02-05Oscar Östlinv4_computers??81.9252532,548,1974.87326e-669,230,410
2011-02-05Oscar Östlinv4_computers??178.438542.82258e+124.87326e-66.00365e+12


ECM factoring results:
Total ECM effort:57.785 GHz-days
Estimated T-Level:40.561
DigitsB1CompleteFacMiss
20110001,085.9730.000%
2550000268.9190.000%
3025000051.5300.000%
3510000007.9580.035%
4030000001.01536.236%
45110000000.11289.385%
50440000000.01198.930%


ECM Summary

B1B2factorcurvesGHz-days
5000050000003600.074
25000025000000300.031
10000001000000002220.914
10000001000000001,1264.634
100000015000000000.00000e+0
100000022309290820.012
30000003000000004,22252.12
11000000220000000000.00000e+0


Lucas-Lehmer results:
No L-L results for M11617


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KruseOliver-PC
1858721
43494049
56778668351
68011840323367
1662480924237737
71179317698907597035382034789943997199
6FF576EBE5E120C7no
2017-09-21Oliver KruseManual testing
1858721
43494049
56778668351
68011840323367
1662480924237737
71179317698907597035382034789943997199
6FF576EBE5E120C7no
2017-10-02kkmrkkblmbrbkManual testing
1858721
43494049
56778668351
68011840323367
1662480924237737
71179317698907597035382034789943997199
6FF576EBE5E120__no
2017-12-07ATHManual testing
1858721
43494049
56778668351
68011840323367
1662480924237737
71179317698907597035382034789943997199
6FF576EBE5E120__no
2020-04-17Oliver KruseManual testing
1858721
43494049
56778668351
68011840323367
1662480924237737
71179317698907597035382034789943997199
D2BDCD55B4A95D__no


P-1 factor-bounds graph:
B1 = 100000000000, B2 = 122192573512709700 (P-1 stage 2)
B1 = 100000000000 (P-1 stage 1)
B1 = 100000000, B2 = 10000000000 (P-1 stage 2)
B1 = 400000000 (P-1 stage 1)
B1 = 100000000 (P-1 stage 1)
100
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109
1010
1011
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1021
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1023
1024
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1028
1029
1030
1031
1032
1033
TF factor-bounds graph:
2
this exponent TF target: 44
TF double-checked to: 67.7
ECM T-Level=40.56 ~= 118-bit
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Last modified: 2023-03-23T17:39:31+00:00