is 2 27943 - 1
has 8412 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-L7295C65C71D9EFB6double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2671,063.376177.6119 %300000000092558456681691040,279.849331.8620 %41,343.225484.7452 %
Target2440.000165.9091 %500500000.00001.7222 %0.000166.4962 %
Difference+23+1,063.3760+11.7028 %+2999999500+925584566766910+40,279.8493+30.1398%+41,343.2253+18.2490 %

Known prime factors (1 factor, 132.8 bits, 0.47531615% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27943959574543262162146888322747166694022248740132.818171702133497148149248169979452223101
3 × 7 × 2029 × 20873 × 575231 × 47418037 × 7077886967119
2015-06-014741803770778869671195.022e+12308.04575.26

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-04-29ANONYMOUSv4_computers10000010000000--0.00120.681%
2001-08-18Alex Kruppav4_computers1000000100000000--0.00528.765%
2002-04-28ANONYMOUSv4_computers163841638400--8.37000e-514.094%
2002-06-09ANONYMOUSv4_computers327683276800--0.00016.632%
2002-07-20ANONYMOUSv4_computers65536655360012--0.00019.154%
2003-02-02ANONYMOUSv4_computers1310721310720030--0.00121.652%
2003-03-27ANONYMOUSv4_computers2621442621440030--0.00124.118%
2003-04-03ANONYMOUSv4_computers5242885242880048--0.00326.545%
2003-04-27ANONYMOUSv4_computers104857610485760048--0.00528.926%
2003-05-19ANONYMOUSv4_computers209715220971520012--0.01131.258%
2003-07-13ANONYMOUSv4_computers419430441943040012--0.02133.536%
2003-09-29ANONYMOUSv4_computers838860883886080012--0.04335.758%
2003-10-08ANONYMOUSv4_computers16777216167772160012--0.08637.922%
2013-11-06David Campeaui5-2500k2053050001067586000012--0.62043.338%
2016-12-21kkmrkkblmbrbkManual testing5000000001000000000012---42.799%
2022-12-30nordisweet16_30.9b330000000003000000000--2.39636.652%
2023-03-21nordisweet16_30.8b143000000000925584566816910
skipped known factor: 9595745432621621468883227471666940222487
--52,20370.872%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-10-21ANONYMOUSv4_computers2522530.021
2000-03-15ANONYMOUSv4_computers2532540.043
2000-10-07ANONYMOUSv4_computers212560.344
2002-11-24ANONYMOUSv4_computers212570.687
2022-05-07LordJuliusWhitebox257258
2009-01-12Sturle Sundehoffman.ifi2582591.374
2009-01-31Sturle Sundegoose.ifi2592602.748
2012-04-02bcp19Manual testing26026216.49


ECM factoring results:
Total ECM effort:56.029 GHz-days
Estimated T-Level:36.795
DigitsB1CompleteFacMiss
2011000348.8670.000%
255000089.6810.000%
3025000017.6310.000%
3510000002.7746.242%
4030000000.35969.838%
45110000000.04096.060%
50440000000.00499.612%


ECM Summary

B1B2factorcurvesGHz-days
10000001000000002022.114
30000003000000001,34846.05
30000003000000002287.861


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11MadPooManual testing7295C65C71D9EFB61.53919e-5


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOllaptop
9595745432621621468883227471666940222487
0A89FD76C2105E73
2017-09-21Oliver KruseManual testing
9595745432621621468883227471666940222487
0A89FD76C2105E73
2017-10-02kkmrkkblmbrbkManual testing
9595745432621621468883227471666940222487
0A89FD76C2105E73
2017-12-07ATHxps
9595745432621621468883227471666940222487
0A89FD76C2105E73
2020-04-17Oliver KruseManual testing
9595745432621621468883227471666940222487
697C47D6BCF2C9DF


CERT results:
No CERT results for M27943


P-1 factor-bounds graph:
B1 = 3000000000, B2 = 925584566816910 (P-1 stage 2)
B1 = 3000000000 (P-1 stage 1)
B1 = 500000000, B2 = 10000000000 (P-1 stage 2)
B1 = 205305000, B2 = 10675860000 (P-1 stage 2)
B1 = 500000000 (P-1 stage 1)
B1 = 205305000 (P-1 stage 1)
B1 = 16777216, B2 = 1677721600 (P-1 stage 2)
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 = 524288, B2 = 52428800 (P-1 stage 2)
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 = 524288 (P-1 stage 1)
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:
262
260
259
258
257
256
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253
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=36.79 ~= 106-bit
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Last modified: 2024-03-13T02:15:48+00:00