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
0 primality tests remaining
ResidueStatus
L-L8A4DF7858BEF7E5Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267155.027273.1343%10000000020000000001.360712.2929%156.388076.4369%3.3026%
PrimeNet2400.000055.0000%2000450000.000012.1485%0.000060.4668%5.4668%
GPU722440.000059.0909%3600800000.00018.8029%0.000162.6921%3.6012%
Difference+23+155.0272+14.0434%+99996400+1999920000+1.3607+3.4900%+156.3879+13.7448%+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
2020-07-04367889967228740409034.791e+1032,419,52860,550,651

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
19166910966779999244531087161511337350441940932365325027
3
51166.230
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-06T00:00:00ANONYMOUSv4_computers10000010000000---0.004--2.605%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.480%
2002-07-27T00:00:00ANONYMOUSv4_computers655366553600---0.003--2.139%
2003-02-16T00:00:00ANONYMOUSv4_computers13107213107200---0.006--2.927%
2003-10-08T00:00:00ANONYMOUSv4_computers26214426214400---0.011--3.831%
2006-02-01T00:00:00Jocelyn Larouchev4_computers10000001000000---0.007--1.917%
2009-02-02T03:54:00axnManual testing5000000200000000---0.104--7.682%
2017-07-29T22:36:10kkmrkkblmbrbkManual testing100000000200000000012---1.361--12.293%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-17T00:00:00ANONYMOUSv4_computers252253--0.003--
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.013--
2022-03-07T04:47:11LordJuliusManual testing254255--0.013--
2001-01-28T00:00:00ANONYMOUSv4_computers21256--0.050--
2002-04-28T00:00:00ANONYMOUSv4_computers21257--0.100--
2022-03-07T04:47:11LordJuliusManual testing257258--0.100--
2008-12-31T17:57:00Sturle Sundemorovan.ifi258259--0.200--
2009-01-29T17:04:00Sturle Sundegideon.ifi259260--0.401--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.423 GHz-days
Estimated T-Level:28.492
DigitsB1CurvesCompleteFacMiss
2011000722 / 1007.2200.071%
2550000722 / 2802.5797.553%
30250000447 / 6400.69849.709%

New Calculation Method

Total ECM effort:12.423 GHz-days
Estimated T-Level:28.492
DigitsB1CompleteFacMiss
201100046.1210.000%
25500006.2280.197%
302500000.63552.969%
3510000000.05195.025%
4030000000.00399.665%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002751.341
250000250000003789.215
25000025000000200.488
25000033750000140.381
2500003600000070.195
25000038500000280.804


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


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T01:33:44Oliver KruseOllaptop
2033678548836646858319
0EB826A2DB66EA__no
2017-09-22T10:02:01Oliver KruseManual testing
2033678548836646858319
0EB826A2DB66EA__no
2017-10-12T05:05:45kkmrkkblmbrbkc4.xlarge0EB826A2DB66EA__no
2020-04-17T18:59:43Oliver KruseAddPrpType5
2033678548836646858319
9B9FB6B15E7DB5__no
2020-07-03T22:07:43CrypticCluecruncher
2033678548836646858319
53925828177309581447588169167
9B9FB6B15E7DB5D4no


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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Last modified: 2022-05-17T14:11:59+00:00