is 2 196171 - 1
has 59054 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-
PRPCB275CF12CBB7500verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267151.469573.1343%10000000020000000001.360712.3135%152.830276.4424%3.3081%
PrimeNet2400.000055.0000%2200500000.000012.6071%0.000060.6732%5.6732%
GPU722440.000059.0909%3600800000.00018.8370%0.000162.7060%3.6151%
Difference+23+151.4695+14.0434%+99996400+1999920000+1.3607+3.4766%+152.8301+13.7364%+13.7364%

Known prime factors (1 factor, 123.2 bits, 0.06280513% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1961711226135699802730464751198151188631256138123.20531251706414371402112218374560680
23 × 3 × 5 × 11 × 13 × 19 × 23 × 83 × 50210774792327367610363
2020-11-1483502107747923273676103637.012e+111.829e+133.416e+13

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-06T00:00:00ANONYMOUSv4_computers10000010000000---0.004--2.614%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.486%
2002-07-27T00:00:00ANONYMOUSv4_computers655366553600---0.003--2.147%
2003-02-16T00:00:00ANONYMOUSv4_computers13107213107200---0.006--2.937%
2003-10-08T00:00:00ANONYMOUSv4_computers26214426214400---0.011--3.843%
2006-02-01T00:00:00Jocelyn Larouchev4_computers10000001000000---0.007--1.923%
2009-02-04T03:15:00axnManual testing5000000200000000---0.104--7.699%
2013-10-10T13:10:00alpertronManual testing1000000002000000000---1.361--12.314%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-17T00:00:00ANONYMOUSv4_computers252253--0.003--
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.012--
2022-03-07T04:47:20LordJuliusManual testing254255--0.012--
2001-01-28T00:00:00ANONYMOUSv4_computers21256--0.049--
2002-04-20T00:00:00ANONYMOUSv4_computers21257--0.098--
2016-02-23T16:27:58Mark RoseManual testing257258--0.098--
2008-12-31T18:19:00Sturle Sundenouchcraft.ifi258259--0.196--
2009-01-27T05:02:00Sturle Sundenouchcraft.ifi259260--0.391--
2013-08-12T01:12:00lycornasteroid260261--0.783--
2015-08-25T13:23:00NRManual testing261262--1.566--
2015-12-07T21:52:22Gordon SpenceManual testing262263--5.004--
2015-12-07T21:52:22Gordon SpenceManual testing263264--10.01--
2018-01-01T22:30:54BloodERazorManual testing264265--19.05--
2019-12-12T16:07:11Gordon SpenceManual testing265266--38.09--


ECM factoring results:

Old Calculation Method

Total ECM effort:39.153 GHz-days
Estimated T-Level:30.763
DigitsB1CurvesCompleteFacMiss
20110001103 / 10011.0300.002%
25500001103 / 2803.9391.933%
30250000827 / 6401.29227.439%
351000000241 / 15800.15385.849%

New Calculation Method

Total ECM effort:39.153 GHz-days
Estimated T-Level:30.763
DigitsB1CompleteFacMiss
201100092.1650.000%
255000014.7510.000%
302500001.88315.218%
3510000000.19782.131%
4030000000.01798.276%
45110000000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002761.346
2500002500000058614.29
100000010000000012512.20
100000010000000011611.32


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2016-06-01T06:38:22MadPooManual testingBCB5F112107ADE__0.001


PRP results:
dateuseridcompidcofactorsres64PRP
2020-11-16T17:46:31arnaudSRV-130
12261356998027304647511981511886312561
CB275CF12CBB7500no


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: 2022-03-07T04:47:20+00:00