is 2 93941 - 1
has 28280 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-LC6B39B37FA0FFE0Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267316.304074.6269 %10000000007055259686475012,388.947028.7888 %12,705.251081.9315 %
Target2440.000061.3636 %1000650000.00003.4977 %0.000062.7150 %
Difference+23+316.3040+13.2632 %+999999000+70552596799750+12,388.9470+25.2911%+12,705.2510+19.2165 %

Known prime factors (1 factor, 107.6 bits, 0.11457586% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
9394125175288815939314504011285040240733107.6341339952141021455727744610183
3 × 68751377 × 6496607532294496093
2014-10-166875137764966075322944960931.367e+121.141e+92.130e+9

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-05-06ANONYMOUSv4_computers10000010000000--0.00222.977%
2001-08-18Alex Kruppav4_computers1000000100000000--0.02131.152%
2002-05-25ANONYMOUSv4_computers327683276800--0.00118.841%
2002-06-02ANONYMOUSv4_computers327683276800--0.00118.841%
2002-07-20ANONYMOUSv4_computers65536655360012--0.00121.421%
2003-02-02ANONYMOUSv4_computers1310721310720030--0.00323.965%
2003-04-03ANONYMOUSv4_computers2621442621440030--0.00526.465%
2003-05-11ANONYMOUSv4_computers104857610485760012--0.02231.314%
2003-06-23ANONYMOUSv4_computers209715220971520012--0.04333.654%
2003-09-09ANONYMOUSv4_computers419430441943040012--0.08635.933%
2003-12-23ANONYMOUSv4_computers838860883886080012--0.17338.149%
2004-01-27ANONYMOUSv4_computers16777216167772160012--0.34640.302%
2012-08-29LaurVpinch100000000200000000012--0.65640.662%
2022-07-20George WoltmanSkylakeX10000000001000000000--2.69935.842%
2022-07-31George WoltmanSkylakeX100000000070552596864750--14,55767.539%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-04-24nordisweet1640000000524000000027--1.091
2021-04-28nordisweet1640000000524000000065--1.091


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-10-29ANONYMOUSv4_computers2522530.006
2000-04-12ANONYMOUSv4_computers212540.026
2000-12-07ANONYMOUSv4_computers212560.102
2002-08-03ANONYMOUSv4_computers212570.204
2022-05-09LordJuliusWhitebox257258
2022-05-09LordJuliusWhitebox258259
2009-01-05Sturle Sundeletov.ifi2592600.817
2013-10-15lycornasteroid2602611.635
2014-10-13Sid & AndyBuzz2612623.270


ECM factoring results:
Total ECM effort:6.493 GHz-days
Estimated T-Level:28.634
DigitsB1CompleteFacMiss
201100023.5000.000%
25500004.7000.910%
302500000.72748.345%
3510000000.09191.347%
4030000000.00999.081%


ECM Summary

B1B2factorcurvesGHz-days
10000001000000001406.447
100000010000000010.046


Lucas-Lehmer results:
No L-L results for M93941


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PC
251752888159393145040112850402407
6B19980E2581A451
2017-09-21Oliver KruseManual testing
251752888159393145040112850402407
6B19980E2581A451
2017-10-13kkmrkkblmbrbkManual testing
251752888159393145040112850402407
6B19980E2581A451
2020-04-17Oliver KruseAddPrpType5
251752888159393145040112850402407
C7F789B0AC9A30F1
2024-02-03Wentao HuangManual testing
251752888159393145040112850402407
C7F789B0AC9A30F1


CERT results:
No CERT results for M93941


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 70552596864750 (P-1 stage 2)
B1 = 1000000000 (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 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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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=28.63 ~= 79-bit
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Last modified: 2024-02-29T14:28:04+00:00