is 2 134789 - 1
has 40576 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-LF024FC9326C48864double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267220.447673.1343 %10000000020000000000.942711.9828 %221.390376.3536 %
Target2440.000059.0909 %24002250000.00016.7112 %0.000161.8364 %
Difference+23+220.4476+14.0434 %+99997600+1999775000+0.9426+5.2716%+221.3902+14.5172 %

Known prime factors (1 factor, 76.8 bits, 0.05700070% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1347891343809138530185548403992476.831498486203818629691
72 × 43 × 236585763558913
2008-04-1649236585763558913113,54059,705111,512

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-11-25ANONYMOUSv4_computers100000025000000--0.01127.944%
2002-06-02ANONYMOUSv4_computers32768327680012--0.00119.526%
2002-07-20ANONYMOUSv4_computers65536655360012--0.00222.121%
2003-02-09ANONYMOUSv4_computers1310721310720030--0.00424.677%
2003-09-29ANONYMOUSv4_computers2621442621440012--0.00827.186%
2017-04-15kkmrkkblmbrbkManual testing100000000200000000012---41.328%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-09-30ANONYMOUSv4_computers2522530.004
2000-04-27ANONYMOUSv4_computers212540.018
2022-03-07LordJuliusManual testing254255
2000-12-31ANONYMOUSv4_computers212560.071
2002-06-23ANONYMOUSv4_computers212570.142


ECM factoring results:
Total ECM effort:13.587 GHz-days
Estimated T-Level:30.528
DigitsB1CompleteFacMiss
201100070.2520.000%
255000010.5460.003%
302500001.17830.800%
3510000000.10689.986%
4030000000.00899.209%


ECM Summary

B1B2factorcurvesGHz-days
10.009
5000050000002630.878
2500002500000059010.06
1000000100000000392.636


Lucas-Lehmer results:
No L-L results for M134789


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseDoppelherz
134380913853018554840399
E785F212F9717466
2017-09-22Oliver KruseManual testing
134380913853018554840399
E785F212F9717466
2017-10-13kkmrkkblmbrbkManual testing
134380913853018554840399
E785F212F9717466
2020-04-17Oliver KruseAddPrpType5
134380913853018554840399
3711770068F62A2E
2024-02-03Wentao HuangManual testing
134380913853018554840399
3711770068F62A2E


CERT results:
dateuseridcompid
2024-02-03Naegi Makoto1035G1


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 1000000, B2 = 25000000 (P-1 stage 2)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (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 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
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255
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this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=30.53 ~= 85-bit
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Last modified: 2024-02-09T03:30:02+00:00