is 2 54751 - 1
has 16482 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-LD8F46C53D40E4F4Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267542.710076.1194 %64000000079662357998223062,060.055030.8583 %62,602.765083.4886 %
Target2440.000063.6364 %500500000.00002.0937 %0.000064.3977 %
Difference+23+542.7100+12.4830 %+639999500+796623579932230+62,060.0550+28.7647%+62,602.7650+19.0909 %

Known prime factors (1 factor, 111.0 bits, 0.20266164% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
54751252388237984637275443284708635768134110.95923048733172420346244204188840
23 × 5 × 197 × 5087 × 574988429060747716739
2013-04-0650875749884290607477167393.400e+124.479e+108.366e+10

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-04-29ANONYMOUSv4_computers10000010000000--0.00121.939%
2001-08-18Alex Kruppav4_computers1000000100000000--0.00930.077%
2002-04-28ANONYMOUSv4_computers163841638400--0.00015.263%
2002-06-09ANONYMOUSv4_computers327683276800--0.00017.841%
2002-07-20ANONYMOUSv4_computers65536655360012--0.00120.396%
2003-02-02ANONYMOUSv4_computers1310721310720030--0.00122.920%
2003-03-27ANONYMOUSv4_computers2621442621440030--0.00225.406%
2003-04-27ANONYMOUSv4_computers104857610485760048--0.01030.239%
2003-06-01ANONYMOUSv4_computers209715220971520012--0.01932.576%
2003-07-30ANONYMOUSv4_computers419430441943040012--0.03834.855%
2003-10-23ANONYMOUSv4_computers838860883886080012--0.07737.075%
2003-10-31ANONYMOUSv4_computers16777216167772160012--0.15339.234%
2012-02-17JossManual testing1795315817953158--0.02624.449%
2012-05-02alpertronManual testing100000000200000000012--0.29139.661%
2023-04-18JacobZGreatLakes640000000796623579982230--117,12770.972%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-02ATHcolab-Pp215000000150000000027--0.146
2021-11-13fbaurubuntu50000000705000000065--0.643


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-10-29ANONYMOUSv4_computers2522530.011
2000-03-28ANONYMOUSv4_computers212540.044
2000-11-05ANONYMOUSv4_computers212560.175
2002-10-26ANONYMOUSv4_computers212570.351
2022-05-07LordJuliusWhitebox257259
2009-01-08Sturle Sundeczerny.ifi2592601.403


ECM factoring results:
Total ECM effort:0.638 GHz-days
Estimated T-Level:23.061
DigitsB1CompleteFacMiss
20110002.3679.379%
25500000.61254.211%
302500000.12188.608%
3510000000.01998.108%
4030000000.00299.752%


ECM Summary

B1B2factorcurvesGHz-days
10.001
100000010000000010.019
3000000300000000110.618


Lucas-Lehmer results:
No L-L results for M54751


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PC
2523882379846372754432847086357681
6AEAB9DE20CC18AA
2017-09-21Oliver KruseManual testing
2523882379846372754432847086357681
6AEAB9DE20CC18AA
2017-10-13kkmrkkblmbrbkManual testing
2523882379846372754432847086357681
6AEAB9DE20CC18AA
2020-04-17Oliver KruseAddPrpType5
2523882379846372754432847086357681
36F77C6BFBB818D0
2024-02-03Wentao HuangManual testing
2523882379846372754432847086357681
36F77C6BFBB818D0


CERT results:
No CERT results for M54751


P-1 factor-bounds graph:
B1 = 640000000, B2 = 796623579982230 (P-1 stage 2)
B1 = 640000000 (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 = 17953158 (P-1 stage 1)
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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TF factor-bounds graph:
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this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=23.06 ~= 60-bit
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Last modified: 2024-03-13T02:15:48+00:00