is 2 191669 - 1
has 57699 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L8A4DF7858BEF7E5Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267155.027273.1343 %10000000020000000001.360712.2929 %156.388076.4369 %
Target2440.000059.0909 %36004000000.00028.8029 %0.000262.6921 %
Difference+23+155.0272+14.0434 %+99996400+1999600000+1.3606+3.4900%+156.3878+13.7448 %

Known prime factors (2 factors, 166.2 bits, 0.08672740% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
19166920336785488366468583192270.7855305183803423211
17 × 19 × 16424717657657
2009-06-0419164247176576571,417.15,983.211,175
191669539258281773095814475881691672995.445140674360948587360104107
59 × 73 × 367 × 88996722874040903
2020-07-03367889967228740409034.791e+1032,419,52860,550,651

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-05-06ANONYMOUSv4_computers10000010000000--0.00424.386%
2002-06-02ANONYMOUSv4_computers32768327680012--0.00120.206%
2002-07-27ANONYMOUSv4_computers65536655360012--0.00322.816%
2003-02-16ANONYMOUSv4_computers1310721310720030--0.00625.382%
2003-10-08ANONYMOUSv4_computers2621442621440012--0.01127.899%
2006-02-01Jossv4_computers10000001000000--0.00717.990%
2009-02-02axnManual testing500000020000000012--0.10435.272%
2017-07-29kkmrkkblmbrbkManual testing100000000200000000012---41.967%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-11-17ANONYMOUSv4_computers2522530.003
2000-04-27ANONYMOUSv4_computers212540.013
2022-03-07LordJuliusManual testing254255
2001-01-28ANONYMOUSv4_computers212560.050
2002-04-28ANONYMOUSv4_computers212570.100
2022-03-07LordJuliusManual testing257258
2008-12-31Sturle Sundemorovan.ifi2582590.200
2009-01-29Sturle Sundegideon.ifi2592600.401


ECM factoring results:
Total ECM effort:16.048 GHz-days
Estimated T-Level:29.686
DigitsB1CompleteFacMiss
201100061.8560.000%
25500008.8900.014%
302500000.93739.175%
3510000000.07792.568%
4030000000.00599.484%


ECM Summary

B1B2factorcurvesGHz-days
10.004
5000050000002751.287
250000250000003929.100
25000025000000200.488
25000031250000140.369
25000032053197501.332
25000033750000140.381
25000036000000210.586
25000038500000280.804
25000036755218520.269
25000055133578571.428


Lucas-Lehmer results:
No L-L results for M191669


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptop
2033678548836646858319
0EB826A2DB66EAF8
2017-09-22Oliver KruseManual testing
2033678548836646858319
0EB826A2DB66EAF8
2017-10-12kkmrkkblmbrbkc4.xlarge
2033678548836646858319
0EB826A2DB66EAF8
2020-04-17Oliver KruseAddPrpType5
2033678548836646858319
9B9FB6B15E7DB5D4
2020-07-03M Millercruncher
2033678548836646858319
53925828177309581447588169167
9B9FB6B15E7DB5D4
2023-08-24USAFSS6917th_Scty_Sq
2033678548836646858319
53925828177309581447588169167
9B9FB6B15E7DB5D4


CERT results:
dateuseridcompid
2023-08-24Richard KintG3


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
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259
258
257
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255
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253
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=29.69 ~= 82-bit
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Last modified: 2024-03-13T02:15:48+00:00