is 2 193493 - 1
has 58248 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-LF7B7A8EEB29ECE72double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267153.565973.1343%10000000020000000001.360712.3013%154.926676.4392%3.3048%
PrimeNet2400.000055.0000%2000500000.000012.4237%0.000060.5907%5.5907%
GPU722440.000059.0909%3600800000.00018.8168%0.000162.6978%3.6069%
Difference+23+153.5658+14.0434%+99996400+1999920000+1.3607+3.4845%+154.9265+13.7414%+13.7414%

Known prime factors (1 factor, 86.3 bits, 0.04458398% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
193493930935610777444787245391032686.267240560539858662790707
32 × 557 × 4799 × 54277 × 184229893
2009-02-0254277184229893148,784,1730.06750.1253

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-06T00:00:00ANONYMOUSv4_computers10000010000000---0.004--2.609%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.482%
2002-07-27T00:00:00ANONYMOUSv4_computers655366553600---0.003--2.142%
2003-02-16T00:00:00ANONYMOUSv4_computers13107213107200---0.006--2.931%
2003-10-08T00:00:00ANONYMOUSv4_computers26214426214400---0.011--3.836%
2006-02-01T00:00:00Jocelyn Larouchev4_computers10000001000000---0.007--1.919%
2017-08-23T17:03:29kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 93093561077744478724539103
--1.361--12.301%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-17T00:00:00ANONYMOUSv4_computers252253--0.003--
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.012--
2022-03-07T04:47:14LordJuliusManual testing254255--0.012--
2001-01-28T00:00:00ANONYMOUSv4_computers21256--0.050--
2002-04-28T00:00:00ANONYMOUSv4_computers21257--0.099--
2022-03-07T04:47:14LordJuliusManual testing257258--0.099--
2008-12-30T23:43:00Sturle Sundenardi.ifi258259--0.198--
2009-01-25T17:54:00Sturle Sundedietrich.ifi259260--0.397--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.903 GHz-days
Estimated T-Level:28.703
DigitsB1CurvesCompleteFacMiss
2011000750 / 1007.5000.053%
2550000750 / 2802.6796.833%
30250000474 / 6400.74147.654%

New Calculation Method

Total ECM effort:12.903 GHz-days
Estimated T-Level:28.703
DigitsB1CompleteFacMiss
201100053.7060.000%
25500007.6580.047%
302500000.79944.972%
3510000000.06593.675%
4030000000.00499.565%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002761.346
2500002500000047411.56


Lucas-Lehmer results:
No L-L results for M193493


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T01:42:35Oliver KruseOllaptop
93093561077744478724539103
DA494A0573C087__no
2017-09-22T10:02:08Oliver KruseManual testing
93093561077744478724539103
DA494A0573C087__no
2017-10-12T05:30:03kkmrkkblmbrbkc4.xlargeDA494A0573C087__no
2020-04-17T19:05:22Oliver KruseAddPrpType5
93093561077744478724539103
B986167CCE34A3__no


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)
103
104
105
106
107
108
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
260
259
258
257
256
255
254
253
250
260
270
280
290
2100
Last modified: 2022-03-07T04:47:14+00:00