is 2 198637 - 1
has 59796 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-L57F94D3B1CFFB72Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267149.589073.1343%10000000020000000001.360712.3246%150.949876.4454%3.3111%
PrimeNet2400.000055.0000%2200500000.000012.6312%0.000060.6840%5.6840%
GPU722440.000059.0909%3600800000.00018.8553%0.000162.7135%3.6226%
Difference+23+149.5890+14.0434%+99996400+1999920000+1.3607+3.4693%+150.9497+13.7319%+13.7319%

Known prime factors:
No known factors for M198637

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-06T00:00:00ANONYMOUSv4_computers10000010000000---0.004--2.619%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.489%
2002-07-27T00:00:00ANONYMOUSv4_computers655366553600---0.003--2.152%
2003-02-16T00:00:00ANONYMOUSv4_computers13107213107200---0.006--2.942%
2003-10-08T00:00:00ANONYMOUSv4_computers26214426214400---0.011--3.849%
2009-02-09T08:29:00axnManual testing5000000200000000---0.104--7.708%
2013-10-15T12:50:00alpertronManual testing1000000002000000000---1.361--12.325%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-17T00:00:00ANONYMOUSv4_computers252253--0.003--
2000-05-05T00:00:00ANONYMOUSv4_computers21254--0.012--
2022-03-07T04:57:42LordJuliusManual testing254255--0.012--
2001-01-28T00:00:00ANONYMOUSv4_computers21256--0.048--
2002-04-20T00:00:00ANONYMOUSv4_computers21257--0.097--
2016-02-23T16:27:58Mark RoseManual testing257258--0.097--
2008-12-30T20:46:00Sturle Sundeothello.ifi258259--0.193--
2009-01-28T19:20:00Sturle Sundegiacco.ifi259260--0.387--
2013-08-06T18:30:00lycornasteroid260261--0.773--
2015-08-25T13:23:00NRManual testing261262--1.546--
2015-12-07T21:52:22Gordon SpenceManual testing262263--4.942--
2015-12-07T21:52:22Gordon SpenceManual testing263264--9.88--
2017-12-30T21:49:35BloodERazorManual testing264265--18.81--
2019-12-13T12:34:59Gordon SpenceManual testing265266--37.62--


ECM factoring results:

Old Calculation Method

Total ECM effort:59.925 GHz-days
Estimated T-Level:31.450
DigitsB1CurvesCompleteFacMiss
20110001314 / 10013.1400.000%
25500001314 / 2804.6930.908%
302500001039 / 6401.62319.697%
351000000454 / 15660.29074.826%

New Calculation Method

Total ECM effort:59.925 GHz-days
Estimated T-Level:31.450
DigitsB1CompleteFacMiss
2011000139.4250.000%
255000024.3510.000%
302500003.3123.645%
3510000000.37168.980%
4030000000.03596.553%
45110000000.00399.718%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002751.342
2500002500000058514.27
100000010000000045444.31


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2016-06-01T06:38:25MadPooManual testing57F94D3B1CFFB72D0.001


PRP results:
No PRP results for M198637


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 = 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: 2022-03-07T04:57:42+00:00