is 2 53993 - 1
has 16254 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L286E625BFAC5C494double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267550.329176.1194 %65000000084490380635661065,821.232230.9337 %66,371.561383.5066 %
Target2440.000063.6364 %500500000.00002.0854 %0.000064.3947 %
Difference+23+550.3290+12.4830 %+649999500+844903806306610+65,821.2322+28.8484%+66,371.5613+19.1119 %

Known prime factors (1 factor, 113.6 bits, 0.21040877% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
539931580577664522445109493467887779560135113.606146368757479899719361164214600
23 × 32 × 52 × 4476137201 × 18166551364769497
2009-10-304476137201181665513647694972.980e+121,415,2312,643,246

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-04-29ANONYMOUSv4_computers10000010000000--0.00121.912%
2001-08-18Alex Kruppav4_computers1000000100000000--0.00930.049%
2002-04-28ANONYMOUSv4_computers163841638400--0.00015.238%
2002-06-09ANONYMOUSv4_computers327683276800--0.00017.815%
2002-07-20ANONYMOUSv4_computers65536655360012--0.00120.369%
2003-02-02ANONYMOUSv4_computers1310721310720030--0.00122.893%
2003-03-27ANONYMOUSv4_computers2621442621440030--0.00225.379%
2003-04-27ANONYMOUSv4_computers104857610485760048--0.01030.211%
2003-06-01ANONYMOUSv4_computers209715220971520012--0.01932.548%
2003-07-30ANONYMOUSv4_computers419430441943040012--0.03834.828%
2003-10-23ANONYMOUSv4_computers838860883886080012--0.07737.047%
2003-10-31ANONYMOUSv4_computers16777216167772160012--0.15339.206%
2016-09-24kkmrkkblmbrbkManual testing100000000200000000012---39.635%
2023-04-17JacobZGreatLakes650000000844903806356610--124,22671.063%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-01ATHcolab-Pp215000000150000000027--0.146
2021-11-13fbaurubuntu50000000480000000065--0.471


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-10-29ANONYMOUSv4_computers2522530.011
2000-03-27ANONYMOUSv4_computers212540.044
2000-09-15ANONYMOUSv4_computers212560.178
2002-11-02ANONYMOUSv4_computers212570.356
2022-05-07LordJuliusWhitebox257259
2009-02-08Sturle Sundegorky.ifi2592601.422


ECM factoring results:
Total ECM effort:216.571 GHz-days
Estimated T-Level:35.673
DigitsB1CompleteFacMiss
2011000169.2820.000%
255000037.3050.000%
302500007.0350.088%
3510000001.06534.489%
4030000000.13587.406%
45110000000.01598.547%
50440000000.00199.859%


ECM Summary

B1B2factorcurvesGHz-days
10.001
5000050000001980.185
100000010000000045810.96
10000003308014710102.830
300000011486324850250202.6


Lucas-Lehmer results:
No L-L results for M53993


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KrusePRP
15805776645224451094934678877795601
7BEA97EA1D5D32B3
2017-09-21Oliver KruseManual testing
15805776645224451094934678877795601
7BEA97EA1D5D32B3
2017-10-13kkmrkkblmbrbkManual testing
15805776645224451094934678877795601
7BEA97EA1D5D32B3
2020-04-17Oliver KruseAddPrpType5
15805776645224451094934678877795601
9E25F131D120ECB0
2024-02-03Wentao HuangManual testing
15805776645224451094934678877795601
9E25F131D120ECB0


CERT results:
No CERT results for M53993


P-1 factor-bounds graph:
B1 = 650000000, B2 = 844903806356610 (P-1 stage 2)
B1 = 650000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 16777216, B2 = 1677721600 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 8388608, B2 = 838860800 (P-1 stage 2)
B1 = 4194304, B2 = 419430400 (P-1 stage 2)
B1 = 16777216 (P-1 stage 1)
B1 = 2097152, B2 = 209715200 (P-1 stage 2)
B1 = 8388608 (P-1 stage 1)
B1 = 1048576, B2 = 104857600 (P-1 stage 2)
B1 = 1000000, B2 = 100000000 (P-1 stage 2)
B1 = 4194304 (P-1 stage 1)
B1 = 2097152 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1048576 (P-1 stage 1)
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 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
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1010
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TF factor-bounds graph:
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this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=35.67 ~= 102-bit
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Last modified: 2024-03-13T02:15:48+00:00