is 2 793493 - 1
has 238866 decimal digits
takes 0.016 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L4F52E9902B0F5246double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26737.447070.1493 %131072131072000.02433.5869 %37.471371.2200 %
Target2440.000054.5455 %1300025000000.004317.1029 %0.004362.3195 %
Difference+23+37.4470+15.6038 %+118072+10607200+0.0200-13.5160 %+37.4669+8.9005 %

Known prime factors (2 factors, 169.3 bits, 0.02133722% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
79349365737060993438713591962.5114142258406403
13 × 19 × 16770276949
2015-11-2019167702769491.589126.46049.420
79349314105105009493311868088297439475133106.79888879832648134966963087875
32 × 53 × 13 × 977 × 935243 × 1060513 × 6271513
2012-04-21106051362715132.198e+110.03890.0625

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-02ANONYMOUSv4_computers2000200000--0.00011.909%
2002-02-03ANONYMOUSv4_computers4096409600--0.00114.820%
2002-03-31ANONYMOUSv4_computers8192819200--0.00217.609%
2002-05-25ANONYMOUSv4_computers163841638400--0.00320.363%
2002-07-27ANONYMOUSv4_computers32768327680012--0.00623.073%
2002-12-31ANONYMOUSv4_computers65537655370012--0.01225.733%
2003-07-21ANONYMOUSv4_computers1310721310720012--0.02428.336%
2011-07-19JossManual testing269050269050--0.00816.257%
2011-08-28JossManual testing448417448417--0.01317.843%
2012-01-14JossManual testing896834896834--0.02619.989%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-10-07ANONYMOUSv4_computers212550.006
2001-02-11ANONYMOUSv4_computers212560.012
2001-12-08ANONYMOUSv4_computers212570.024
2003-09-14ANONYMOUSv4_computers212580.048
2008-10-11Sturle Sundeiago.ifi2582600.145
2010-06-18Architects Cubedm1_fw2602610.194


ECM factoring results:
Total ECM effort:11.350 GHz-days
Estimated T-Level:25.658
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
10.023
5000050000002665.963
500005000000150.342
25000025000000445.021


Lucas-Lehmer results:
No L-L results for M793493


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-1
141051050094933118680882974394751
6573706099343871359
EB4EDB94D0E81CFD
2017-10-05Oliver KruseManual testing
141051050094933118680882974394751
6573706099343871359
EB4EDB94D0E81CFD
2017-10-13Oliver KruseThreadripper-PC
6573706099343871359
141051050094933118680882974394751
EB4EDB94D0E81CFD
2017-12-17ATHec2-1xh
6573706099343871359
141051050094933118680882974394751
EB4EDB94D0E81CFD
2020-04-21Oliver KruseAddPrpType5
6573706099343871359
141051050094933118680882974394751
895F2CD303C18057


CERT results:
No CERT results for M793493


P-1 factor-bounds graph:
B1 = 896834 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 448417 (P-1 stage 1)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 269050 (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 = 65537 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
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109
1010
1011
TF factor-bounds graph:
261
260
258
257
256
255
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.66 ~= 69-bit
250
260
270
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2110
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Last modified: 2024-03-13T02:15:48+00:00