is 2 196387 - 1
has 59119 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-L5CEB15A4436DEFB7double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267151.302973.1343 %10000000020000000001.360712.3145 %152.663676.4427 %
Target2440.000059.0909 %36004000000.00028.8386 %0.000262.7067 %
Difference+23+151.3029+14.0434 %+99996400+1999600000+1.3606+3.4759%+152.6634+13.7360 %

Known prime factors (1 factor, 64.8 bits, 0.03298847% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
196387317869220482350502732064.78580929292794928
24 × 5058080799683
2008-03-3116505808079968318.1241,842.53,441.4

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-05-06ANONYMOUSv4_computers10000010000000--0.00424.435%
2002-06-02ANONYMOUSv4_computers32768327680012--0.00120.253%
2002-07-27ANONYMOUSv4_computers65536655360012--0.00322.864%
2003-02-16ANONYMOUSv4_computers1310721310720030--0.00625.431%
2003-10-08ANONYMOUSv4_computers2621442621440012--0.01127.949%
2006-02-01Jossv4_computers10000001000000--0.00718.028%
2017-09-06kkmrkkblmbrbkManual testing100000000200000000012---42.011%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-11-17ANONYMOUSv4_computers2522530.003
2000-04-27ANONYMOUSv4_computers212540.012
2022-03-07LordJuliusManual testing254255
2001-01-28ANONYMOUSv4_computers212560.049
2002-04-20ANONYMOUSv4_computers212570.098


ECM factoring results:
Total ECM effort:23.032 GHz-days
Estimated T-Level:29.838
DigitsB1CompleteFacMiss
201100062.1860.000%
25500009.1070.011%
302500000.96838.002%
3510000000.08092.290%
4030000000.00599.461%


ECM Summary

B1B2factorcurvesGHz-days
10.013
5000050000002731.326
2500002500000041410.10
25000031250000140.370
25000036000000280.782
25000037255543140.397
2500003850000070.201
25000025426810570.836
250000367537170559.009


Lucas-Lehmer results:
No L-L results for M196387


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptop
31786922048235050273
67BF3AD6451D8A76
2017-09-22Oliver KruseManual testing
31786922048235050273
67BF3AD6451D8A76
2017-10-12kkmrkkblmbrbkc4.xlarge
31786922048235050273
67BF3AD6451D8A76
2020-04-17Oliver KruseAddPrpType5
31786922048235050273
D699E2F0FEE577F5
2023-08-24USAFSS6917th_Scty_Sq
31786922048235050273
D699E2F0FEE577F5


CERT results:
dateuseridcompid
2023-08-24Matt


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (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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1010
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TF factor-bounds graph:
257
256
255
254
253
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=29.84 ~= 83-bit
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Last modified: 2024-02-09T03:30:02+00:00