is 2 193337 - 1
has 58201 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-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267153.689873.1343 %10000000020000000001.360712.3006 %155.050576.4390 %
Target2440.000059.0909 %36004000000.00028.8156 %0.000262.6973 %
Difference+23+153.6898+14.0434 %+99996400+1999600000+1.3606+3.4850%+155.0503+13.7417 %

Known prime factors (2 factors, 164.1 bits, 0.08488387% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
193337265553166791347119592064.52668676240655267
7 × 13729 × 714610789
2007-08-241372971461078934.2510.26040.4862
1933379516132205665533407672365127693099.5862461021999323857670200832
29 × 32 × 73 × 563 × 7878391 × 1649431331
2017-08-14787839116494313317.986e+110.65071.1222

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-05-06ANONYMOUSv4_computers10000010000000--0.00424.403%
2002-06-02ANONYMOUSv4_computers32768327680012--0.00120.223%
2002-07-27ANONYMOUSv4_computers65536655360012--0.00322.833%
2003-02-16ANONYMOUSv4_computers1310721310720030--0.00625.400%
2003-10-08ANONYMOUSv4_computers2621442621440012--0.01127.917%
2006-02-01Jossv4_computers10000001000000--0.00718.003%
2017-08-14kkmrkkblmbrbkManual testing10000000020000000001223099.5861.36141.983%


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_computers212560.050
2002-04-28ANONYMOUSv4_computers212570.099


ECM factoring results:
Total ECM effort:14.733 GHz-days
Estimated T-Level:29.702
DigitsB1CompleteFacMiss
201100062.0790.000%
25500008.9300.013%
302500000.94039.045%
3510000000.07792.554%
4030000000.00599.483%


ECM Summary

B1B2factorcurvesGHz-days
10.004
5000050000002761.345
2500002500000048811.41
2500003125000070.185
25000036000000641.787


Lucas-Lehmer results:
No L-L results for M193337


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptopFC365C5104ED15__
2017-10-12kkmrkkblmbrbkc4.xlarge
26555316679134711959
951613220566553340767236512769
FC365C5104ED154A
2020-04-17Oliver KruseAddPrpType5
26555316679134711959
951613220566553340767236512769
1CA7ED71FCB673E9
2023-08-24USAFSS6917th_Scty_Sq
26555316679134711959
951613220566553340767236512769
1CA7ED71FCB673E9


CERT results:
dateuseridcompid
2023-08-24Poaopc-Office


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:
257
256
255
254
253
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=29.7 ~= 82-bit
250
260
270
280
290
2100
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Last modified: 2024-03-13T02:15:48+00:00